On Second Order Bifurcations of Limit Cycles

DOI10.1112/S0024610798006486zbMath0922.34037OpenAlexW2160492379MaRDI QIDQ4716684

Iliya D. Iliev

Publication date: 27 September 1999

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610798006486

zbMATH Keywords

limit cyclesbifurcationplanar vector fieldsecond variationpolynomial perturbationshyperelliptic Hamiltonians

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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