Phase transitions for one-dimensional Lorenz-like expanding maps

DOI10.1007/s00574-022-00310-yOpenAlexW4297193258MaRDI QIDQ2091198

Juliano G. Oler, Márcio R. Alves Gouveia

Publication date: 31 October 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03558

zbMATH Keywords

equilibrium measureLorenz maps

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• Structural stability of Lorenz attractors
• The structure of Lorenz attractors
• Equilibrium state for one-dimensional Lorenz-like expanding maps
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Phase transitions for uniformly expanding maps
• Topological conjugation of Lorenz maps by β-transformations
• The Real Fatou Conjecture
• Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
• Deterministic Nonperiodic Flow
• Phase transitions for countable Markov shifts