On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci

MaRDI QIDQ6653598

I. I. Ovsyannikov, S. V. Gonchenko

Publication date: 16 December 2024

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

zbMATH Keywords

bifurcationstrange attractorsaddle-focushomoclinic and heteroclinic orbit

Mathematics Subject Classification ID

Dynamical aspects of attractors and their bifurcations (37G35) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Title not available (Why is that?)
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• On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors
• Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps
• Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
• On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I
• ON DIMENSION OF NON-LOCAL BIFURCATIONAL PROBLEMS
• NORMAL FORMS AND LORENZ ATTRACTORS
• An example of a wild strange attractor
• Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
• THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS
• Invariant manifolds
• On the existence of infinitely many stable and unstable invariant tori for systems from newhouse regions with heteroclinic tangencies

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