Bifurcation and chaos of a particle motion system with holonomic constraint

Ning Cui, Junhong Li

Abstract


This paper investigates a holonomic constrained system of a particle moving on a horizontal smooth plane. The equilibrium points, bifurcations and chaotic attractors of the system are analyzed. It shows that the rich dynamic behaviors of the particle motion system, including the degenerate Hopf bifurcations at multiple equilibrium points, the chaotic behaviors of the particle motion. The numerical simulations are carried out to verify theoretical analyses and to exhibit the rich chaotic behaviors.

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Published: 2019-01-25

How to Cite this Article:

Ning Cui, Junhong Li, Bifurcation and chaos of a particle motion system with holonomic constraint, Engineering Mathematics Letters, Vol 2019 (2019), Article ID 3

Copyright © 2019 Ning Cui, Junhong Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

ISSN 2049-9337

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