Parameter-shifted shadowing property of Lozi maps

DOI10.1080/14689360701321892zbMath1153.37012OpenAlexW2166395102MaRDI QIDQ3534035

Teruhiko Soma, Shin Kiriki

Publication date: 3 November 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360701321892

zbMATH Keywords

shadowingLozi attractorMisiurewicz domain

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (2)

Parameter-shifted shadowing property for geometric Lorenz attractors ⋮ Boundary influence on the entropy of a Lozi-type map

Cites Work

• Ergodic properties of the Lozi mappings
• Is every approximate trajectory of some process near an exact trajectory of a nearby process?
• Strange attractors in the orientation-preserving Lozi map
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Towards a kneading theory for Lozi mappings. II: Monotonicity of the topological entropy and Hausdorff dimension of attractors
• Monotonicity of the Lozi family near the tent-maps
• Forward limit sets of singularities for the Lozi family
• Shadowing in dynamical systems
• Parameter-shifted shadowing property for geometric Lorenz attractors
• Towards a kneading theory for Lozi mappings I: A solution of the pruning front conjecture and the first tangency problem
• Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’
• THE STRANGE ATTRACTOR OF THE LOZI MAPPING
• An open set of maps for which every point is absolutely nonshadowable

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