Phase diffusion in a chaotic pendulum

Journal Article · Mon Apr 01 00:00:00 EST 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.3068· OSTI ID:283809

Blackburn, J A ^[1]

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1. Department of Physics and Computing, Wilfrid Laurier University, Waterloo, Ontario (Canada)

The rate of expansion of the phase coordinate for a harmonically driven pendulum is considered. The mean-squared displacement is found to grow as a linear function of time during chaotic motion, indicating deterministic diffusion. The diffusion coefficient can be significantly influenced by the proximity of a window containing a periodic solution. We find that diffusion associated with intermittent chaos can be described in terms of an interleaving of the diffusion properties of the separate modes taking part in the intermittency. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 283809
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 53, Issue 4; Other Information: PBD: Apr 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
STOCHASTIC PROCESSES
PHASE SPACE
DIFFUSION
EXPANSION
LYAPUNOV METHOD
NUMERICAL SOLUTION
PENDULUMS
RUNGE-KUTTA METHOD