Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations
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Publication:990463
DOI10.1016/j.amc.2007.02.151zbMath1193.34063OpenAlexW2010073018MaRDI QIDQ990463
Xiaoshan Zhao, Wei Xu, Shuang Li, Hongxian Zhou
Publication date: 1 September 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.151
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) Dynamics induced by flows and semiflows (37C10)
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AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A QUINTIC HAMILTONIAN PLANAR VECTOR FIELD UNDER QUINTIC PERTURBATION ⋮ Bifurcations of limit cycles in equivariant quintic planar vector fields ⋮ AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A HAMILTONIAN PLANAR VECTOR FIELD OF DEGREE 7
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