On the perturbations of a Hamiltonian system

On the perturbations of a Hamiltonian system

The perturbations of a Hamiltonian system having compounded cycle are studied in this paper. The existence theory and stability theory of singular closed orbits are applied to study the given perturbed systems. By using the small parametric perturbation techniques of differential equations, we study...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2011-02, Vol.61 (4), p.773-782
Hauptverfasser: Hu, Yingjing, Duan, Lixia, Huang, Yi, Wu, Yuhai
Format: Artikel
Sprache:eng
Schlagworte:
Bifurcations
Differential equations
Hopf bifurcation
Lyapunov constant
Mathematical models
Orbits
Perturbation methods
Poincaré–Bendixson theorem
Saddle connection
Saddle quantity
Stability
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Zusammenfassung:The perturbations of a Hamiltonian system having compounded cycle are studied in this paper. The existence theory and stability theory of singular closed orbits are applied to study the given perturbed systems. By using the small parametric perturbation techniques of differential equations, we study Hopf bifurcation, singular closed orbits bifurcation and give the number and distributions of limit cycles in the above perturbed near Hamiltonian system.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.12.024