Topological attractors of contracting Lorenz maps

DOI10.1016/j.anihpc.2017.12.001zbMath1393.37014arXiv1612.00093OpenAlexW2963832788MaRDI QIDQ1641898

Paulo Brandão

Publication date: 20 June 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00093

zbMATH Keywords

topological attractormaps of the intervalcontracting Lorenz maps

Mathematics Subject Classification ID

Related Items (3)

On the Statistical Attractors and Attracting Cantor Sets for Piecewise Smooth Maps ⋮ On the finiteness of attractors for one-dimensional maps with discontinuities ⋮ Hyperbolicity of renormalization for dissipative gap mappings

Cites Work

• Essential dynamics for Lorenz maps on the real line and the lexicographical world
• On the concept of attractor
• Erratum. Hyperbolicity, sinks and measure in one dimensional dynamics
• Structural stability of Lorenz attractors
• Splitting words and Lorenz braids
• Universal models for Lorenz maps
• Wandering Intervals for Lorenz Maps with Bounded Nonlinearity
• The dynamics of perturbations of the contracting Lorenz attractor
• Deterministic Nonperiodic Flow
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