On the classification of homoclinic attractors of three-dimensional flows

DOI10.15507/2079-6900.21.201904.443-459MaRDI QIDQ6143656

Alekseĭ Olegovich Kazakov, Unnamed Author, Unnamed Author, Unnamed Author

Publication date: 24 January 2024

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo752

zbMATH Keywords

homoclinic trajectorystrange attractorLorenz attractorpseudohyperbolicityspiral chaos

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• An example of a wild strange attractor
• Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors
• The asymmetric Lorenz attractor as an example of a new pseudohyperbolic attractor of three-dimensional systems

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