STRONG ANOMALOUS DIFFUSION OF THE PHASE OF THE CHAOTIC PENDULUMFrancesco Cagnetta, Alessandro Mossa, Giuseppe Gonnella, Stefano Ruffo

DRIVEN PENDULUM IS CHAOTIC

θ̈ + sin θ−γ sinωt = 0

γ = 0 γ = 0.01 ω = 1

PHASE UNDERGOES STRONG ANOMALOUS DIFFUSION…

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time

-20000

-10000

0

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!(t)

�θ(t)q� ∼ tqν(q)

slope: 0.67

slope: 1.00

…DUE TO DYNAMICAL TRAPS IN THE PHASE SPACE

�3 �2 �1 1 2 3

�4

�2

2

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FRACTAL NATURE OF THE PHASE SPACE

WORK IN PROGRESS

To measure the residence time distributions of the most relevant “sticky” regions

To write a Lévy-path inspired model able to reproduce the observed diffusive properties