Perturbation of a Period Annulus with a Unique Two-Saddle Cycle in Higher Order Hamiltonian
In this paper, we study the number of limit cycles emerging from the period annulus by perturbing the Hamiltonian system x˙=y,y˙=x(x2-1)(x2+1)(x2+2). The period annulus has a heteroclinic cycle connecting two hyperbolic saddles as the outer boundary. It is proved that there exist at most 4 and at le...
Main Authors: | Hongying Zhu, Sumin Yang, Xiaochun Hu, Weihua Huang |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi-Wiley
2019-01-01
|
Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2019/5813596 |
Similar Items
-
Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles
by: Jaume Llibre, et al.
Published: (2021-06-01) -
Periodic perturbations of Hamiltonian systems
by: Fonda Alessandro, et al.
Published: (2016-11-01) -
Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones
by: Pessoa, C., et al.
Published: (2022) -
Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation
by: Zhiqing Han
Published: (2010-01-01) -
Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle
by: Huanhuan Tian, et al.
Published: (2014-01-01)