1. Institute of Physics, Hunan Polytechnic University, Zhuzhou 412008, China
;2. Department of Physics, University of Waterloo, Waterloo,
Ontario, Canada N2L 3G1
;3. Department of Physics, Zhuzhou Teachers' College, Zhuzhou 412007, China
Abstract:
The classical deterministic dynamics of a Brownian particle with a
time-dependent periodic perturbation in a spatially periodic
potential is investigated. We have constructed a perturbed chaotic
solution near the heteroclinic orbit of the nonlinear dynamics
system by using the Constant-Variation method. Theoretical
analysis and numerical result show that the motion of the Brownian
particle is a kind of chaotic motion. The corresponding chaotic
region in parameter space is obtained analytically and numerically.