Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs
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Publication:4989103
DOI10.1063/5.0044731zbMath1473.37060OpenAlexW3156077028WikidataQ113854250 ScholiaQ113854250MaRDI QIDQ4989103
N. V. Barabash, Vladimir N. Belykh, Igor V. Belykh
Publication date: 20 May 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0044731
non-smooth systemshomoclinic bifurcationsperiod-doubling bifurcationsglobal bifurcation theoryLorenz-type systems
Bifurcations of singular points in dynamical systems (37G10) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (5)
On examples of pseudohyperbolic attractors in flows and maps ⋮ Complex Dynamics and Sliding Bifurcations of the Filippov Lorenz–Chen System ⋮ Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems ⋮ Chaos in coupled heteroclinic cycles and its piecewise-constant representation ⋮ Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems
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