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Nonlinear Science, Chaos and Dynamical Systems 2015

BENOIT MANDELBROTA Life in Many Dimensionsedited by Michael Frame (Yale University, USA)

This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.

While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit’s accomplishments.

Readership: People interested in the life work of Benoit Mandelbrot. While the technical articles will be accessible mainly to scientists, the range of chapters provides material of interest to a wide range of readers. The audience range from the general public for some parts, through high school and college teachers, to research scientists.

400pp Jun 2015978-981-4366-06-9 US$128 £84

ASYMPTOTIC PERTURBATION THEORY OF WAVESby Lev Ostrovsky (NOAA ETL, USA)

This book is an introduction to the perturbation theory for linear and nonlinear waves in dispersive and dissipative media. The main focus is on the direct asymptotic method which is based on the asymptotic expansion of the solution in series of one or more small parameters and demanding finiteness of the perturbations; this results in slow variation of the main-order solution. The method, which does not depend on integrability of basic equations, is applied to quasi-harmonic and non-harmonic periodic waves, as well as to localized waves such as solitons, kinks, and autowaves. The basic theoretical ideas are illustrated by many physical examples throughout the book.

Key Features:

nonlinear wave theory and its applications

Readership: Graduate students and young researchers in nonlinear science, physicists and applied mathematicians.

300pp Oct 2014978-1-84816-235-8 US$98 £65978-1-84816-236-5(ebook) US$127 £85

Studies of Nonlinear Phenomena in Life Science - Vol 16FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE (2nd Edition)by Bruce J West (Army Research Office, USA)

This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics.

In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.

Readership: Biomedical and physical scientists and students.

344pp Jan 2013978-981-4417-79-2 US$64 £42

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CONTINUOUS AND DISCONTINUOUS PIECEWISE-SMOOTH ONE-DIMENSIONAL MAPSInvariant Sets and Bifurcation Structuresby Viktor (University of Stuttgart, Germany), Laura Gardini (University of Urbino, Italy), Michael Schanz (University of Stuttgart, Germany), Irina Sushko (National Academy of Sciences of Ukraine, Ukraine) & Fabio Tramontana (University of Urbino, Italy)

Contents: Introduction: Continuous and Discontinuous Piecewise-

Bifurcations in Piecewise Smooth Systems; General Concepts: Border Collision and Crisis Bifurcations, Map Replacement Technique; Continuous Piecewise-Linear Maps: Bifurcation Structures in Regular and Chaotic Domains; Discontinuous Piecewise-Linear Maps: Period Adding and Bandcount Adding Bifurcation Structures; Discontinuous Piecewise-Linear Maps: Period Increment and Bandcount Increment Bifurcation Structures; Multi-Dimensional Parameter Spaces and Their Organizing Centers.

Readership: Researchers and graduate students working in the field of piecewise-smooth systems.

978-981-4368-82-7 US$135 £89

SYNCHRONIZATION OF SYSTEMS WITH TIME-DELAYED COUPLINGby Erik Steur (Katholieke Universiteit Leuven, Belgium), Toshiki Oguchi(Tokyo Metropolitan University, Japan) & Henk (Eindhoven University of Technology, The Netherlands)

The book aims to provide the tools for analyzing the synchronization of identical systems under time-delayed coupling. On the structural assumption that the system itself is semi-passive — i.e. the system is behaving as a passive system outside some ball-conditions ensuring synchronization of two systems under time-delayed coupling — the framework is extended to the more general situation of a network with time-delayed diffusive coupling. Conditions are derived for time-delay and coupling strength when the network exhibits synchronization or partial synchronization. The theory is illustrated by a number of simulation examples, providing also the experimental results on a network of electronic brain cells.

Readership: Graduate students, researchers and academics interested in complex systems and control theory.

250pp Feb 2015978-981-4569-80-4 US$84 £55978-981-4569-81-1(ebook) US$109 £72

Vol. 85A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM’SNEW KIND OF SCIENCE (Volume VI)by Leon O Chua (University of California at Berkeley, USA)

This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor

determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables.

Readership: Students, researchers, academics as well as laymen interested in nonlinear dynamics, computer science and complexity theory.

580pp Sep 2013978-981-4460-87-3 US$145 £96978-981-4460-88-0(ebook) US$189 £125

Vol. 84TOPOLOGY AND DYNAMICS OF CHAOSIn Celebration of Robert Gilmore’s 70th Birthdayedited by Christophe Letellier (CORIA — University of Rouen, France), Robert Gilmore (Drexel University, USA)

The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included.

Readership: Graduate students and researchers interested in topological analysis of nonlinear dynamical systems producing chaotic attractors.

364pp Mar 2013978-981-4434-85-0 US$128 £84978-981-4434-86-7(ebook) US$166 £110

Vol. 82DEVELOPMENT OF MEMRISTOR BASED CIRCUITSby Herbert Ho-Ching Iu & Fitch(The University of Western Australia, Australia)

Combining an overview, tutorial and technical articles, the book describes the state-of-the-art research on significant issues in the field.

are presented, and applications of memristor based circuits addressed.

Readership: Graduate students, academics, laboratory researchers, applied mathemati-cians and physicists in engineering and science.

132pp Feb 2013978-981-4383-38-7 US$64 £42978-981-4483-39-4(ebook) US$83 £55

Vol. 81CHAOS IN NATUREby Christophe Letellier (CORIA, University of Rouen, France)

Using the original sources, the book draws on the history of the concepts underlying chaos theory from the 17th century to the last decade, and by various examples, show how general is this theory in a wide range of applications: meteorology, chemistry, populations, astrophysics, biomedicine, etc.

Readership: Advanced undergraduates and graduate students in nonlinear dynamics, and non-experts interested in chaos theory.

392pp Jan 2013978-981-4374-42-2 US$115 £76978-981-4474-43-9(ebook) US$150 £99

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Bestselling Textbook

THE NONLINEAR WORKBOOK (6th Edition)

by Willi-Hans Steeb (University of Johannesburg, South Africa)

The Nonlinear Workbook provides a comprehensive treatment of all

aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 160 ready to run

problems. New topics added to the 6th edition are Swarm Intelligence, Quantum Cellular Automata, Hidden Markov Model and DNA, Birkhoff’s ergodic theorem and chaotic maps, Banach fixed point theorem and applications, tau-wavelets of Haar, Boolean derivatives and applications, and Cartan forms and Lagrangian.

Readership: Students and researchers in mathematics, physics, and computer science.

650pp Jul 2015978-981-4583-46-6 US$110 £73978-981-4583-47-3(pbk) US$58 £38

Directions in Chaos - Vol 8STAR PRODUCTS IN ONE-DIMENSIONAL SYMBOLIC DYNAMICSby Shou-Li Peng & Ke-Fei Cao (Yunnan University, China)

This book is a systematic and complete elaboration of star products in one-dimensional multimodal maps, explaining their algebraic and geometric meanings, establishing symbolic dynamics of equal topological entropy classes, and extracting the universality, global regularities and thermodynamics formalism of the dynamical quantities of systems. The book displays the strength and efficiency of the method of one-dimensional symbolic dynamics equipped with star products.

Readership: Graduate students and researchers in nonlinear science and chaos.

978-981-02-4673-0 US$111 £76

CHAOS, INFORMATION PROCESSING AND PARADOXICAL GAMESThe Legacy of John S Nicolisedited by Gregoire & Vasileios Basios(University of Brussels, Belgium)

This volume provides a self-contained survey of the mechanisms presiding information processing and communication. The main thesis is that chaos and complexity are the basic ingredients allowing systems composed of interesting subunits to generate and

is placed on communication in the form of games and on the related issue of decision making under conditions of uncertainty.

Readership: Graduate students, researchers, and academics from various fields interested in chaos, information processing and complexity science.

978-981-4602-12-9 US$148 £98978-981-4602-13-6(ebook) US$192 £127

Series on Complexity Science - Vol 3HYPERNETWORKS IN THE SCIENCE OF COMPLEX SYSTEMSby Jeffrey Johnson (The Open University, UK)

This volume marks a major extension of networks to multidimensional hypernetworks for modeling multi-element relationships, such as companies making up the stock market, the neighborhoods forming a city, people making up committees, divisions making up companies, computers making up the internet, men and machines making up armies, or robots working as teams.

Readership: Academics: researchers, social scientists, complex systems scientists, economists, biologists; Industry: managers, planners, consultants, knowledge professionals, systems engineers, automation specialists, supply chain managers; Public services: Council Officers, city planners, health and welfare professionals.

348pp Jan 2014978-1-86094-972-2 US$128 £84978-1-86094-973-9(ebook) US$166 £110

LOCAL ACTIVITY PRINCIPLEThe Cause of Complexity and Symmetry Breakingby Klaus Mainzer (Technische Universität München, Germany) & Leon Chua (University of California, Berkeley, USA)

This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe.

Readership: Graduates and readers interested in the fields of natural, computer, social and economic sciences, and philosophy.

456pp May 2013978-1-908977-09-0 US$148 £98978-1-908977-10-6(ebook) US$192 £127

Series on Complexity Science - Vol 2STOCHASTIC DYNAMICS OF COMPLEX SYSTEMS

by Paolo Sibani (University of Southern Denmark, Denmark) & Henrik Jeldtoft Jensen (Imperial College London, UK)

Dynamical evolution over long time scales is a prominent feature of all the systems we intuitively think of as complex — for example, ecosystems, the brain or the economy. In physics, the term ageing is used for this type of slow change, occurring over time scales much longer than the patience, or indeed the lifetime, of the observer. The main focus of this book is on the stochastic processes which cause ageing, and the surprising fact that the ageing dynamics of systems which are very different at the microscopic level can be treated in similar ways.

Readership: Graduates and researchers with an interest in complex systems.

978-1-84816-993-7 US$90 £59



CHAOS, CNN, MEMRISTORS AND BEYOND

With DVD-ROM, composed

edited by (University of the West of England, UK) & Guanrong Chen (City University of Hong Kong, P R China)

This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos.

Readership: Graduate students, researchers and academics in all engineering disciplines as well as historians of science.

564pp Mar 2013978-981-4434-79-9 US$148 £98978-981-4434-80-5(ebook) US$192 £127

World Scientific Lecture Notes in Complex Systems ENGINEERING OF CHEMICAL COMPLEXITYedited by Mikhailov & Gerhard Ertl (Fritz Haber Institute of the Max Planck Society, Germany)

This review volume, co-edited by Nobel

current studies in the understanding of design and control of complex chemical systems of various origins, on scales ranging from single molecules and nano-phenomena to macroscopic chemical reactors. Starting with a detailed introduction on the history of research on complex chemical systems, its current state of the art and perspectives, the book comprises 19 chapters that survey the current progress in particular research fields.

Readership: Graduate students and scientists interested in complex chemical systems.

412pp Feb 2013978-981-4390-45-3 US$128 £84978-981-4390-46-0(ebook) US$166 £110

PEYRESQ LECTURES ON NONLINEAR PHENOMENA (Volume 3)edited by Freddy Bouchet (Ecole NormaleSupérieure de Lyon, France & CNRS, France),Basile (Institut Jean Le Rond d’Alembert,CNRS, France & Université Pierre et Marie Curie, France) & Jacques

Sepulchre (Institut Non Linéaire de Nice, France)

This book is the third volume of lecture notes from summer schools held in the small village

é

were given over the period 2004 to 2008.

Readership: Physicists, mathematicians and biologists. Graduate students, post-docs, lecturers and researchers in nonlinear science.

388pp Jan 2013978-981-4440-58-5 US$108 £71978-981-4440-59-2(ebook) US$140 £92

With DVD-ROM

CHAOS, COMPLEXITY AND TRANSPORTProceedings of the CCT ‘11

edited by Xavier Leoncini (Aix-Marseille Université, France) & Marc Leonetti (CNRS, France)

The main goal is to offer readers a panorama of recent progress in nonlinear physics, complexity and transport with attractive chapters readable by a broad audience. It allows readers to gain an insight into these active fields of research and notably promotes the interdisciplinary studies from mathematics to experimental physics. To reach this aim, the book collects a selection of contributions to the

Readership: Undergraduate, graduate students and researchers in nonlinear science, statistical and plasma physics.

272pp Sep 2012978-981-4405-63-8 US$108 £71978-981-4405-64-5(ebook) US$140 £92

BIOEVALUATION OF WORLD TRANSPORT NETWORKSedited by (University of the West of England, UK)

The book will inspire novel and original thoughts, paradigms and approaches for re-evaluation of historical findings on the emergence of ancient roads and will help to design future transcontinental pathways. The book is self-contained and does not require any special training or knowledge. This lavishly illustrated text will be appreciated by readers from all walks of life.

Readership: Computer scientists, road planners, mathematicians, physicists, chemists and nonlinear scientists.

368pp Sep 2012978-981-4407-03-8 US$118 £78978-981-4407-04-5(ebook) US$153 £101

FOUNDATIONS OF COMPLEX SYSTEMS (2nd Edition)

by Gregoire (University of Brussels,Belgium) & Catherine (RoyalMeteorological Institute of Belgium, Belgium)

“The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of the field.”

Readership: Graduate students, researchers, academics and professionals interested in nonlinear science.

978-981-4366-60-1 US$126 £83978-981-4366-61-8(ebook) US$164 £108

2nd Edition


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International Journal of Bifurcation and Chaos (IJBC)Print / Online ISSN: 0218-1274 / 1793-6551

http://www.worldscinet.com/ijbc

This journal is widely regarded as the leading journal in the exciting field of chaos and nonlinear science. Represented by an international editorial board comprising eighty top researchers from a wide variety of disciplines, it is setting the standard in scientific and production quality. The journal has been highly acclaimed by the scientific community around the world, and has featured many important papers by leading researchers from various fields.

Honorary Founding Editor-in-Chief Leon O Chua, University of California, Berkeley, USA

Editor-in-Chief Guanrong (Ron) Chen, City University of Hong Kong, Hong Kong

Advances in Complex Systems (ACS) Print / Online ISSN: 0219-5259 / 1793-6802

http://www.worldscinet.com/acs

This journal aims to provide a unique medium of communication for multidisciplinary approaches, either empirical or theoretical, to the study of complex systems. The latter are seen as systems comprised of multiple interacting components, or agents. Nonlinear feedback processes, stochastic influences, specific conditions for the supply of energy, matter, or information may lead to the emergence of new system qualities on the macroscopic scale that cannot be reduced to the dynamics of the agents. Quantitative approaches to the dynamics of complex systems have to consider a broad range of concepts, from analytical tools, statistical methods and computer simulations to distributed problem solving, learning and adaptation. This is an interdisciplinary enterprise.

Editor-in-Chief ETH Zurich, Switzerland

FractalsPrint / Online ISSN: 0218-348X / 1793-6543

http://www.worldscinet.com/fractals

The investigation of phenomena involving complex geometry, patterns and scaling has gone through a spectacular development in the past decades. The main challenge of the journal devoted exclusively to the above kinds of phenomena lies in its interdisciplinary nature; it is our commitment to bring together the most recent developments in these fields so that a fruitful interaction of various approaches and scientific views on complex spatial and temporal behaviors in both nature and society could take place.

Honorary Editor Emeritus B B Mandelbrot, Yale University, USA

Managing Editors, Fractal Antenna Systems, Inc, USA

S S Manna, Satyendra Nath Bose National Centre for Basic Sciences, India, Kingston University, UK

, University of Science and Technology, China

Stochastics and Dynamics (SD) Print / Online ISSN: 0219-4937 / 1793-6799

http://www.worldscinet.com/sd

This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system’s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.

Editor-in-ChiefManfred Denker, Penn State University, USA

Managing EditorJinqiao Duan, Illinois Institute of Technology, USA

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Bestselling TitlesB t lli Titl

World Scientific Series on Nonlinear Science Series A - Vol 79ROBUST CHAOS AND ITS APPLICATIONSby Zeraoulia (University of Tébessa, Algeria) & Julien Clinton Sprott (University of Wisconsin-Madison, USA)

This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of

Readership: Advanced undergraduate and graduate students, researchers, engineers and instructors interested in chaos and dynamical systems.

472pp Dec 2011978-981-4374-07-1 US$161 £106978-981-4374-08-8(ebook) US$209 £138

World Scientific Series on Nonlinear Science Series A - Vol 75DISCRETE SYSTEMS WITH MEMORYby Ramon (Polytechnic University of Madrid, Spain)

The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects. It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule.

Readership: Graduate students and researchers interested in mathematical modeling and nonlinear science.

480pp Mar 2011978-981-4343-63-3 US$154 £102978-981-4343-64-0(ebook) US$200 £132

Studies of Nonlinear Phenomena in Life Science - Vol 14FRACTAL TIMEWhy a Watched Kettle Never Boilsby Susie Vrobel (Institute for Fractal Research, Germany)

This book provides an interdisciplinary introduction to the notion of fractal time, starting from scratch with a philosophical and perceptual puzzle. How subjective duration varies, depending on the way we embed current content into contexts, is explained.

Readership: Cognitive scientists, philosophers, cyberneticists, systems theorists, mathematicians, psychologists and theoretical physicists.

312pp Feb 2011978-981-4295-97-0 US$102 £67978-981-4295-98-7(ebook) US$132 £87

systems ranging from

ys of locally connected

World Scientific Series on Nonlinear Science Series B - Vol 15FROM PHYSICS TO CONTROL THROUGH AN EMERGENT VIEWedited by Luigi Fortuna (University of Catania, Italy), Fradkov (Russian Academy of Sciences, Russia) & Mattia Frasca (University of Catania, Italy)

The book is a compilation of selected papers from the conference on Physics and Control 2009, presenting a unified perspective underlying the thematics and strategies related to the control of physical systems with emerging applications in physics, engineering, chemistry, biology and other natural sciences.

Readership: Graduate students and researchers interested in complex systems, nonlinear dynamics and experimental physics.

396pp Jun 2010978-981-4313-14-8 US$129 £85978-981-4313-15-5(ebook) US$168 £111

ELEGANT CHAOS

by Julien Clinton Sprott (University of Wisconsin-Madison, USA)

This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.

Readership: Chaos researchers, instructors and students interested in seeing elegant examples of chaotic systems.

978-981-283-881-0 US$105 £69978-981-283-882-7(ebook) US$132 £87

World Scientific Series on Nonlinear Science Series A - Vol 71A PRACTICAL GUIDE FOR STUDYING CHUA’S CIRCUITSby Recai (Erciyes University, Turkey)

“This book presents some hardware- and software-based design and implementation approaches on Chua’s circuits with interesting applications and updated synthesis of previous works. It is didactically written and provides new educational insights for practicing chaotic dynamics in a systematic way in science and engineering undergraduate and graduate education programs. …”

Readership: Advanced undergraduates and graduate students in science and engineering, researchers, nonlinear scientists and electronic engineers interested in chaos.

220pp Mar 2010978-981-4291-13-2 US$98 £64978-981-4291-14-9(ebook) US$127 £84

7 www.icpress.co.uk


Bestselling TitlesB t lli TitlWorld Scientific Series on Nonlinear Science Series A - Vol 72FRACTIONAL ORDER SYSTEMSModeling and Control Applicationsby Riccardo Caponetto, Giovanni Dongola,Luigi Fortuna (University of Catania, Italy) &Ivo Petráš (Technical University of Košice, Slovakia)

Contents:Order PID Controller and Their Stability Regions

Microprocessor Implementation and Applications;

Readership: Graduates, researchers and professionals interested in applying fractional order systems.

200pp Feb 2010978-981-4304-19-1 US$105 £69978-981-4304-20-7(ebook) US$136 £90

World Scientific Series on Nonlinear Science Series B - Vol 14DYNAMICS AND CONTROL OF HYBRID MECHANICAL SYSTEMSedited by Gennady Leonov (St Petersburg State University, Russia), Henk ,

Pogromsky (Eindhoven University of Technology, The Netherlands) &

Fradkov (Institute for Problems of Mechanical Engineering, St Petersburg, Russia)

The papers in this edited volume aim to provide a better understanding of the dynamics and control of a large class of hybrid dynamical systems that are described by different models in different state space domains. They not only cover important aspects and tools for hybrid systems analysis and control, but also a number of experimental realizations.

Readership: Graduate students, researchers and academics interested in nonlinear dynamics and nonlinear control.

264pp Mar 2010978-981-4282-31-4 US$119 £78978-981-4282-32-1(ebook) US$154 £102

Series on Advances in Statistical Mechanics - Vol 17CHAOS

by Massimo Cencini, Fabio Cecconi (INFM-CNR, Italy) & Vulpiani (University of Rome “Sapienza”, Italy)

“This book is recommended for a first approach to chaos: the exposition is very clear and all notions are introduced relying on intuition and explained through examples and applications. 32 call-out boxes, interspersed throughout the main text, provide basic concepts and further details, which make the book accessible to virtually everyone.”

Readership:

480pp Sep 2009978-981-4277-65-5 US$119 £78978-981-4277-66-2(ebook) US$154 £102

MIND FORCEOn Human Attractionsby Franco Orsucci (University College London, UK & University of Siena & Institute for Complexity Studies, Italy)

Connect ions between genes and molecules, neurons and hormones, thinking and language, people and organizations create a continuous flow of synchronized interactions. These intermingled interactions form dynamical networks across many scales, from molecular, to biological, to cognitive and social. In a sequence of cycles, the reader is guided in this heterogeneous hypernetwork to

Readership: Undergraduates, graduate students, researchers in complexity and cognitive neuroscience; humanities scholars; and interested general public.

164pp May 2009978-981-277-121-6 US$92 £61978-981-277-122-3(ebook) US$120 £79

World Scientific Series on Nonlinear Science Series A - Vol 66DIFFERENTIAL GEOMETRY APPLIED TO DYNAMICAL SYSTEMS

by Jean-Marc Ginoux (Universitédu Sud, France)

“In sum, this book presents an interesting overview of an alternative, and possibly unifying, geometric framework for the study of general systems of ordinary differential equations. Researchers with a background in dynamical systems theory and an interest in a slightly unorthodox approach to the subject will find it a rewarding read.”

Readership: Graduate students, researchers and academics in nonlinear dynamics.

978-981-4277-14-3 US$108 £71978-981-4277-15-0(ebook) US$141 £93

World Scientific Series on Nonlinear Science Series A - Vol 53BIFURCATION THEORY AND APPLICATIONSby Tian Ma (Sichuan University, China) &Shouhong Wang (Indiana University, USA)

“The book provides a nice introduction to a variety of bifurcation problems ... ”

Readership: Graduate students and researchers in mathematics, physics, chemistry, biology and engineering.

392pp Jun 2005978-981-256-287-6 US$145 £96978-981-256-352-1(pbk) US$74 £49978-981-270-115-2(ebook) US$189 £125

With CD-ROM


World Scientific Series on Nonlinear Science Series A - Vol 31CNN: A PARADIGM FOR COMPLEXITYby Leon O Chua (University of California, Berkeley)

Revolutionary and original, this treatise presents a new

-plications drawn from numer-ous disciplines, including ar-tificial life, biology, chemistry, computation, physics, image processing, information sci-ence, etc. Written with a high level of exposition, this completely self-contained monograph is profusely il-lustrated with over 200 stunning color illustrations of emergent phenomena.

Readership: Researchers in nonlinear science, chaos & dynamical systems, computer science, neural networks, image analysis, pattern recognition and artificial intelligence.

332pp Jun 1998978-981-02-3483-6 US$182 £120978-981-279-858-9(ebook) US$237 £156

World Scientific Lecture Notes in Physics - Vol 53INTRODUCTION TO NONLINEAR DYNAMICS FOR PHYSICISTSby H D I , M I Rabinovich & M M Sushchik (UC, San Diego)

“These lecture notes briefly introduce the reader to new ideas, so would be a useful addition to a library or a source of ideas for lectures or projects; a good student may also find this text useful as a quick introduction to many new ideas.”

D Richards

1994

Readership: Physicists.

168pp Jun 1993978-981-02-1409-8 US$73 £48978-981-02-1410-4(pbk) US$36 £24978-981-279-900-5(ebook) US$95 £63

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World Scientific Series on Nonlinear Science Series A - Vol 54DYNAMICS OF CROWD-MINDS

by (University of the West of England, Bristol, UK)

This book presents unique results of computational studies on cognitive and affective space-time processes in large-scale collectives of abstract agents being far from mental equilibrium. Computational experiments demonstrate that the irrational and nonsensical behavior of individual entities of crowd-mind results in complex, rich and non-trivial spatio-temporal dynamics of the agent collectives.

Readership: Academics and researchers in computer science, physics, mathematics, social sciences and psychology.

264pp May 2005978-981-256-286-9 US$125 £83978-981-256-948-6(ebook) US$163 £107

World Scientific Series on Nonlinear Science Series A - Volume 45BIFURCATION AND CHAOS IN NONSMOOTH MECHANICAL SYSTEMSby (Technical University of Lódz, Poland) & Claude-Henri Lamarque (ENTPE, Vaulx-en-Velin, France)

This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced. Tools available for the analysis of classical smooth nonlinear dynamics are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments.

Readership: Upper-level undergraduates, graduate students, researchers and practitioners in engineering mechanics, civil engineering, biomechanics, and nonlinear sciences and applications.

564pp Jul 2003978-981-238-459-1 US$234 £155978-981-256-480-1(ebook) US$305 £201

Advanced Series in Nonlinear Dynamics - Vol 16POSITIVE TRANSFER OPERATORS AND DECAY OF CORRELATIONSby Viviane Baladi (CNRS, Universitéde Paris-Sud, France)

“The book can be used both as a textbook for beginners and as a reference book for workers in the field ... the proofs are given in full, allowing a detailed study of the techniques and making the book nicely self-contained.”

Contents:

Systems; Hyperbolic Systems

Readership: Physicists, mathematicians, interdisciplinary scientists and social scientists.

324pp Jul 2000978-981-281-363-3 US$141 £93978-981-02-3328-0(ebook) US$108 £71

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sts and social scientists

http://www.worldscientific.com/page/nonlinearsci

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nonlinear science, chaos and dynamical systems 2015€¦ · studies of nonlinear phenomena in life...

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