Bifurcations of limit cycles in a perturbed quintic Hamiltonian system with six double homoclinic loops
DOI10.1007/s10255-006-6154-7zbMath1159.34032OpenAlexW1999625099MaRDI QIDQ942892
Yong-Xi Gao, Lixin Tian, Yu-Hai Wu
Publication date: 8 September 2008
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-006-6154-7
stabilitylimit cyclesHilbert's 16th problemPoincaré-Bendixson theoremdouble homoclinic loopsnear Hamiltonian planar system
Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
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