On the effect of invisibility of stable periodic orbits at homoclinic bifurcations

DOI10.1016/J.PHYSD.2012.03.002zbMath1244.37036OpenAlexW2148457892MaRDI QIDQ441799

Ivan I. Ovsyannikov, Dmitry V. Turaev, Sergey V. Gonchenko

Publication date: 8 August 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2012.03.002

zbMATH Keywords

dynamical chaoshomoclinic tangencyHenon mapNewhouse phenomenon

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (4)

Simple Scenarios of Onset of Chaos in Three-Dimensional Maps ⋮ Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps ⋮ Diverging period and vanishing dissipation: families of periodic sinks in the quasi-conservative case ⋮ Global bifurcations close to symmetry

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