On bifurcations of multidimensional diffeomorphisms having a homoclinic tangency to a saddle-node

DOI10.1134/S1560354714040029zbMath1337.37018arXiv1412.0932MaRDI QIDQ2513983

Olga V. Gordeeva, Valery I. Lukyanov, Ivan I. Ovsyannikov, Sergey V. Gonchenko

Publication date: 29 January 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0932

zbMATH Keywords

homoclinic tangencysaddle-nodeArnold tongues

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Invariant manifolds
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