Strange attractors in the orientation-preserving Lozi map

DOI10.1016/S0960-0779(97)00180-XzbMath0933.37047OpenAlexW4240315979MaRDI QIDQ1125069

Zeng-Rong Liu, Yong-Luo Cao

Publication date: 9 April 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(97)00180-x

zbMATH Keywords

strange attractorbasinLozi maptwo-dimensional mapweak transversal homoclinic point

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (12)

On the occurrence of chaos via different routes to chaos: period doubling and border-collision bifurcations ⋮ Hausdorff dimension of chaotic attractors in a class of nonsmooth systems ⋮ A new simple 2-D piecewise linear map ⋮ Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps ⋮ Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors ⋮ Unnamed Item ⋮ Parameter-shifted shadowing property of Lozi maps ⋮ Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators ⋮ A note about Milnor attractor and riddled basin ⋮ A constructive approach to robust chaos using invariant manifolds and expanding cones ⋮ The geometric structure of strange attractors in the Lozi map ⋮ Dynamics of a Hénon-Lozi-type map

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