On the symmetry-breaking bifurcation of chaotic attractors

DOI10.1007/BF01019782zbMath0667.58047OpenAlexW178035926MaRDI QIDQ1117540

K. G. Szabó, Tamás Tél

Publication date: 1989

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01019782

zbMATH Keywords

chaospiecewise linear mapstrange attractorcrisissymmetry-breakingband splitting

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Nonlinear dynamics and chaos in sigma-delta modulation ⋮ Chaotic mixing in crystalline granular media ⋮ Symbolic dynamics and characterization of complexity ⋮ Phase space reconstruction for symmetric dynamical systems

Cites Work

• Unnamed Item
• Ergodic properties of the Lozi mappings
• The Hausdorff dimension of some fractals and attractors of overlapping construction
• A two-dimensional mapping with a strange attractor
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Fat baker's transformations
• Fractal measures and their singularities: The characterization of strange sets
• Strange attractors and chaotic motions of dynamical systems
• Dimension, entropy and Lyapunov exponents
• Analytic results for the scaling behaviour of a piecewise-linear map of the circle
• On the abundance of aperiodic behaviour for maps on the unit interval
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow
• ON THE GENERATION OF A PERIODIC MOTION FROM TRAJECTORIES DOUBLY ASYMPTOTIC TO AN EQUILIBRIUM STATE OF SADDLE TYPE

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