Chaotic and quasiperiodic motions of three planar charged particles
Journal
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Journal Volume
11
Journal Issue
7
Pages
1937-1951
Date Issued
2001
Author(s)
Abstract
We study two dynamical systems for the motion of three planar charged particles with charges nj ∈ {±1}, j = 1, 2, 3. Both dynamical systems are parametric with a parameter α ∈ [0, 1] and have the same nonlinear terms. As α = 0, 1, the dynamical systems have no chaos. However, one dynamical system may create chaos as α varies from zero to one. This may provide an example to show that the homotopy deformation of dynamical systems cannot preserve the long-time dynamics even though the dynamical systems have the same nonlinear terms.
Type
journal article