AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A QUINTIC HAMILTONIAN PLANAR VECTOR FIELD UNDER QUINTIC PERTURBATION

DOI10.1142/S0218127410025405zbMath1183.34042OpenAlexW2152401606MaRDI QIDQ5306415

Warwick Tucker, Tomas Johnson

Publication date: 9 April 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410025405

zbMATH Keywords

limit cyclesinterval analysisbifurcation theoryplanar Hamiltonian systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items

New lower bounds for the Hilbert numbers using reversible centers ⋮ A Quartic System with Twenty-Six Limit Cycles ⋮ AN IMPROVED LOWER BOUND ON THE NUMBER OF LIMIT CYCLES BIFURCATING FROM A HAMILTONIAN PLANAR VECTOR FIELD OF DEGREE 7

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