Strong anomalous diffusion of the phase of a chaotic pendulum
1 Dipartimento di Fisica, Università di Bari and INFN, Sezione di Bari - Via Amendola 173, 70126 Bari, Italy
2 Dipartimento di Fisica e Astronomia and CSDC, Università di Firenze, CNISM and INFN - Via Sansone 1, 50019 Sesto Fiorentino, Italy
Received: 20 April 2015
Accepted: 26 June 2015
In this letter we consider the phase diffusion of a harmonically driven undamped pendulum and show that it is anomalous in the strong sense. The role played by the fractal properties of the phase space is highlighted, providing an illustration of the link between deterministic chaos and anomalous transport. Finally, we build a stochastic model which reproduces most properties of the original Hamiltonian system by alternating ballistic flights and random diffusion.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.40.Fb – Random walks and Levy flights / 05.60.-k – Transport processes
© EPLA, 2015