On the perturbations of a Hamiltonian system
Copyright policy )On the perturbations of a Hamiltonian system
AbstractThe 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.
- Jiangsu University China (People's Republic of)
Saddle quantity, Computational Mathematics, Computational Theory and Mathematics, Lyapunov constant, Modelling and Simulation, Saddle connection, Poincaré–Bendixson theorem, Stability
Saddle quantity, Computational Mathematics, Computational Theory and Mathematics, Lyapunov constant, Modelling and Simulation, Saddle connection, Poincaré–Bendixson theorem, Stability
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!