Newhouse regions for reversible systems with infinitely many stable, unstable and elliptic periodic orbits

DOI10.1088/0951-7715/17/4/005zbMath1061.37030OpenAlexW2044951115MaRDI QIDQ4821899

O. V. Sten'kin, Jeroen S. W. Lamb

Publication date: 22 October 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/156

zbMATH Keywords

horseshoebifurcationPoincaré mapreversible diffeomorphismNewhouse regionnontransversal heteroclinic cycle

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

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