Periodic perturbation of quadratic systems with two infinite heteroclinic cycles

DOI10.3934/dcds.2012.32.1881zbMath1238.37006OpenAlexW1999805554MaRDI QIDQ414789

Marcelo Messias

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.1881

zbMATH Keywords

chaotic dynamicsperiodic perturbationquadratic systemheteroclinic bifurcationPoincaré compactificationinfinite heteroclinic cycle

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Topological dynamics of nonautonomous systems (37B55)

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Time-periodic perturbation of a Liénard equation with an unbounded homoclinic loop

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