Bifurcation of limit cycles from a heteroclinic loop with a cusp
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Publication:531690
DOI10.1016/j.na.2011.01.013zbMath1218.34045OpenAlexW4229944874MaRDI QIDQ531690
Junmin Yang, Mao'an Han, Xian Bo Sun
Publication date: 19 April 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.01.013
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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Cites Work
- Unnamed Item
- Unnamed Item
- Limit cycles near homoclinic and heteroclinic loops
- Limit cycles of a \(Z_3\)-equivariant near-Hamiltonian system
- Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems
- Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system
- Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop. II
- The number of small-amplitude limit cycles of Liénard equations
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
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