Bifurcations and stability of nondegenerated homoclinic loops for higher dimensional systems
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Publication:2262242
DOI10.1155/2013/582820zbMath1307.34063OpenAlexW1999123830WikidataQ37351648 ScholiaQ37351648MaRDI QIDQ2262242
Feng Li, Jing Li, Han Xu, Benyan Ding, Li-Qun Zhang, Yin Lai Jin
Publication date: 16 March 2015
Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/582820
Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (2)
Bifurcations of Heteroclinic Loop with Twisted Conditions ⋮ The contrast structures for a class of singularly perturbed systems with heteroclinic orbits
Cites Work
- Bifurcations of rough heteroclinic loop with two saddle points
- Exponential dichotomies, heteroclinic orbits, and Melnikov functions
- Homoclinic bifurcation at resonant eigenvalues
- The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
- Degenerated homoclinic bifurcations with higher dimensions
- Exponential dichotomies and transversal homoclinic points
- Twisted bifurcations and stability of homoclinic loop with higher dimensions
- Melnikov vector in higher dimensions
- Problems in homoclinic bifurcation with higher dimensions
- Stability and uniqueness of periodic orbits produced during homoclinic bifurcation
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