Topological conjugation of Lorenz maps by β-transformations

DOI10.1017/S0305004100068675zbMath0705.58035MaRDI QIDQ3485638

Paul Glendinning

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

topological entropynon-wandering setkneading theoryLorenz map\(\beta \) -transformationtopologically conjugate of maps

Mathematics Subject Classification ID

Entropy in general topology (54C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Symbolic dynamics and rotation numbers
• The Lorenz equations: bifurcations, chaos, and strange attractors
• The Basic Lorenz List and Sparrow'S Conjecture A
• The Maximal Measure for Linear Mod One Transformations
• Symbolic Dynamics and Transformations of the Unit Interval