Chaotic motion of some relative rotation nonlinear dynamic system

• DOI: 10.7498/aps.57.1321
• Publication Date: 2020-12-10T03:12:34Z
• Authors: Shi Pei-Ming; Liu Bin; Hou Dong-Xiao
• Keywords: Phase plane; Poincaré map

The chaotic motion of a relative rotation nonlinear dynamic system possessing both homoclinic and heteroclinic orbits is investigated. Firstly, the dynamics equation with stiffness damping forcing excitation deduced. Secondly, global bifurcation probable route leading to chaos have been discussed by using Melnikov method, necessary condition presented. complemented top Lyapunov exponents maps, Poincare maps phase plane plots.