Dynamic Analysis of a Particle Motion System

Ning Cui and Junhong Li
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Ning Cui: Department of Mathematics and Sciences, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou 075000, Hebei Province, China
Junhong Li: Department of Mathematics and Sciences, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou 075000, Hebei Province, China

Mathematics, 2018, vol. 7, issue 1, 1-14

Abstract: This paper formulates a new particle motion system. The dynamic behaviors of the system are studied including the continuous dependence on initial conditions of the system’s solution, the equilibrium stability, Hopf bifurcation at the equilibrium point, etc. This shows the rich dynamic behaviors of the system, including the supercritical Hopf bifurcations, subcritical Hopf bifurcations, and chaotic attractors. Numerical simulations are carried out to verify theoretical analyses and to exhibit the rich dynamic behaviors.

Keywords: particle motion; Hopf bifurcation; chaos (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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