Second-order analysis in polynomially perturbed reversible quadratic Hamiltonian systems

DOI10.1017/S0143385700000936zbMath0992.37054OpenAlexW2171300514MaRDI QIDQ4761424

Iliya D. Iliev, Lyubomir Gavrilov

Publication date: 16 September 2002

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700000936

zbMATH Keywords

Hamiltonian vector fieldnumber of zerossaddle pointpolynomial perturbationsexact upper boundreversible cubic Hamiltoniansecond-order Poincaré-Pontryagin integral

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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