Shilnikov attractors in three-dimensional orientation-reversing maps

DOI10.1063/5.0036405zbMath1458.34090OpenAlexW3119170784MaRDI QIDQ4983634

Efrosiniia Karatetskaia, Aikan Shykhmamedov, Alexey O. Kazakov

Publication date: 26 April 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0036405

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

On discrete homoclinic attractors of three-dimensional diffeomorphisms ⋮ On Shilnikov attractors of three-dimensional flows and maps ⋮ On scenarios of the onset of homoclinic attractors in three-dimensional non-orientable maps ⋮ Appearance of chaos and hyperchaos in evolving pendulum network ⋮ Lorenz- and Shilnikov-Shape Attractors in the Model of Two Coupled Parabola Maps ⋮ On discrete Lorenz-like attractors ⋮ Bubbling transition as a mechanism of destruction of synchronous oscillations of identical microbubble contrast agents

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