On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems

DOI10.3934/dcds.2013.33.2593zbMath1278.34045OpenAlexW2319064422MaRDI QIDQ1948818

Publication date: 24 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.2593

zbMATH Keywords

quasi-periodic solution KAM iteration quasi-periodic system hyperbolic-type degenerate equilibrium point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of ordinary differential equations (34D10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Multifrequency systems of ordinary differential equations (34C46)

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