Perturbations of quadratic Hamiltonian systems with symmetry

DOI10.1016/S0294-1449(16)30096-8zbMath0854.34035MaRDI QIDQ1912015

Iliya D. Iliev, Emil Horozov

Publication date: 22 January 1997

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1996__13_1_17_0

zbMATH Keywords

Hamiltonian systemquadratic perturbationtwo limit cyclescentroid symmetrycubic Hamiltonian

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 ordinary differential equations (34D10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Perturbations of quadratic centers, The cyclicity of the period annulus of the quadratic Hamiltonian systems with non-Morsean point, Inhomogeneous Fuchs equations and the limit cycles in a class of near-integrable quadratic systems, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, Perturbations of the non-generic quadratic Hamiltonian vector fields with hyperbolic segment, The period function for quadratic integrable systems with cubic orbits

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