Diffusion dynamics near critical bifurcations in a nonlinearly damped pendulum system

作者：Sakthivel G; Rajasekar S^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(3): 1303-1311.

DOI：10.1016/j.cnsns.2011.07.026

• Normal diffusion
• Pendulum system
• Chaotic motion

We numerically study the diffusion dynamics near critical bifurcations such as sudden widening of the size of a chaotic attractor, intermittency and band-merging of a chaotic attractor in a nonlinearly damped and periodically driven pendulum system. The system is found to show only normal diffusion. Near sudden widening and intermittency crisis power-law variation of diffusion constant with the control parameter omega of the external periodic force f sin omega t is found while linear variation of it is observed near band-merging crisis. The value of the exponent in the power-law relation varies with the damping coefficient and the strength of the added Gaussian white noise.

• 出版日期2012-3