Perturbed rank 2 Poisson systems and periodic orbits on Casimir invariant manifolds

DOI10.1080/14029251.2020.1700637zbMath1436.34026arXiv2001.11135OpenAlexW3103353482MaRDI QIDQ5212614

Benito Hernández-Bermejo, Isaac A. García

Publication date: 29 January 2020

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11135

zbMATH Keywords

perturbation theorylimit cyclesHamiltonian systemsPoisson systemsCasimir invariants

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Invariant manifolds for ordinary differential equations (34C45) Relaxation oscillations for ordinary differential equations (34C26)

Cites Work

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• Periodic orbits in analytically perturbed Poisson systems
• Averaging methods in nonlinear dynamical systems

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