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Engineering Mathematics Letters ISSN 2049-9337

Archives › Volume 2019 (2019)

Eng. Math. Lett. 2019 (2019), Article ID 3

Bifurcation and chaos of a particle motion system with holonomic constraint

Ning Cui, Junhong Li

PDF (377.8 KB) https://doi.org/10.28919/eml/3974

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.

Published
25 January 2019
Volume
2019 (2019)
License
CC BY 3.0

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.

Cite this article

N. Cui, J. Li, Bifurcation and chaos of a particle motion system with holonomic constraint, Eng. Math. Lett. 2019 (2019), 3. https://doi.org/10.28919/eml/3974

BibTeX
@article{Cui2019,
  author  = {Cui, Ning and Li, Junhong},
  title   = {Bifurcation and chaos of a particle motion system with holonomic constraint},
  journal = {Eng. Math. Lett.},
  volume  = {2019},
  year    = {2019},
  pages   = {3},
  doi     = {10.28919/eml/3974}
}