On Shilnikov attractors of three-dimensional flows and maps

DOI10.1080/10236198.2022.2063051arXiv2202.01814OpenAlexW4226291124MaRDI QIDQ6065930

Sergey V. Gonchenko, Alexey O. Kazakov, Yu. V. Bakhanova, Evgeniya A. Samylina, A. S. Gonchenko

Publication date: 11 December 2023

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.01814

zbMATH Keywords

chaotic dynamicshomoclinic orbitstrange attractorsaddle-focusspiral chaos

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’, Scenarios for the creation of hyperchaotic attractors in 3D maps

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