Strange attractors and wandering domains near a homoclinic cycle to a bifocus
DOI10.1016/j.jde.2020.02.027zbMath1443.34046arXiv1801.03831OpenAlexW3010575764MaRDI QIDQ2180580
Publication date: 14 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.03831
strange attractorsBogdanov-Takens bifurcationbifocuswandering domainshomoclinic cycleTatjer condition
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45) Attractors of solutions to ordinary differential equations (34D45) Dynamical aspects of attractors and their bifurcations (37G35) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)
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