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- Title
Limit Cycle Bifurcations for Piecewise Smooth Hamiltonian Systems with a Generalized Eye-Figure Loop.
- Authors
Yang, Jihua; Zhao, Liqin
- Abstract
This paper deals with the limit cycle bifurcations for piecewise smooth Hamiltonian systems. By using the first order Melnikov function of piecewise near-Hamiltonian systems given in [Liu & Han, 2010], we give a lower bound and an upper bound of the number of limit cycles that bifurcate from the period annulus between the center and the generalized eye-figure loop up to the first order of Melnikov function.
- Subjects
LIMIT cycles; BIFURCATION theory; HAMILTONIAN systems; GENERALIZATION; NUMBER theory
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2016, Vol 26, Issue 12, p-1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127416502047