Monotonicity and non-monotonicity regions of topological entropy for Lorenz-like families with infinite derivatives

DOI10.2478/amns.2020.2.00052OpenAlexW3095879606MaRDI QIDQ2690775

K. A. Safonov, Mikhail Malkin

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00052

zbMATH Keywords

topological entropyhomoclinic bifurcationLorenz attractorjump of entropy

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Cites Work

• On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
• Symbolic Quest into Homoclinic Chaos
• Homoclinic bifurcation to a transitive attractor of Lorenz type
• Entropy of piecewise monotone mappings
• NORMAL FORMS AND LORENZ ATTRACTORS
• A simple proof for monotonicity of entropy in the quadratic family
• Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system
• SMOOTH SYMMETRIC AND LORENZ MODELS FOR UNIMODAL MAPS
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