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On a Family of Hamilton–Poisson Jerk Systems

In this paper, we construct a family of Hamilton–Poisson jerk systems. We show that such a system has infinitely many Hamilton–Poisson realizations. In addition, we discuss the stability and we prove the existence of periodic orbits around nonlinearly stable equilibrium points. Particularly, we dedu...

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Principais autores: Cristian Lăzureanu, Jinyoung Cho
Format: Artigo
Sprog:Inglês
Udgivet: MDPI AG 2024-04-01
Serier:Mathematics
Fag:
jerk systems
Hamilton–Poisson systems
stability
periodic orbits
homoclinic and heteroclinic orbits
Online adgang:https://www.mdpi.com/2227-7390/12/8/1260
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