Homoclinic tangencies of arbitrary order in Newhouse domains.

DOI10.1023/A:1011359428672zbMath1157.37325OpenAlexW190854028MaRDI QIDQ5948385

Sergey V. Gonchenko, Dmitry V. Turaev, L. P. Shil'nikov

Publication date: 14 November 2001

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011359428672

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Infinite nonwandering sets arising in bifurcations of dynamical systems (37G30) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

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