Homoclinic bifurcations that give rise to heterodimensional cycles near a saddle-focus equilibrium

DOI10.1088/1361-6544/30/1/173zbMath1381.37061arXiv1604.00431OpenAlexW3105320353MaRDI QIDQ2958637

Dongchen Li

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00431

zbMATH Keywords

chaotic dynamicsheteroclinic orbithomoclinic bifurcationsaddle-focusheterodimensional cycle

Mathematics Subject Classification ID

Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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• Robust nonhyperbolic dynamics and heterodimensional cycles
• Global aspects of homoclinic bifurcations of vector fields

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