On the existence of infinitely many stable and unstable invariant tori for systems from newhouse regions with heteroclinic tangencies

MaRDI QIDQ6651186

S. V. Gonchenko, L. P. Shil'nikov, O. V. Sten'kin

Publication date: 10 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

invariant circlenontransversal heteroclinic cyclenewhouse region

Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05) Difference equations (39Axx)

Cites Work

• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Infinitely many coexisting strange attractors
• On models with non-rough Poincaré homoclinic curves
• High dimension diffeomorphisms displaying infinitely many periodic attractors
• Diffeomorphisms with infinitely many sinks
• Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
• Newhouse regions for reversible systems with infinitely many stable, unstable and elliptic periodic orbits
• Persistence of homoclinic tangencies in higher dimensions
• ON THE STRUCTURE OF 1 : 4 RESONANCES IN HÉNON MAPS
• Generalized Hénon Map and Bifurcations of Homoclinic Tangencies
• Elements of applied bifurcation theory

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On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci ⋮ Universal two-dimensional map and its radiophysical realization

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