Symbolic dynamics of the Lorenz equations.

DOI10.1016/0960-0779(95)00046-1zbMath1080.37559OpenAlexW1984363496MaRDI QIDQ815520

Bai-Lin Hao, Hai-ping Fang

Publication date: 17 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/270053

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99) Numerical methods for ordinary differential equations (65L99)

Related Items (8)

EXTENDED PHASE DIAGRAM OF THE LORENZ MODEL ⋮ Multirhythmic bursting ⋮ Qualitative feature extractions of chaotic systems ⋮ SYNCHRONIZATION BEHAVIOR IN DISCRETE SYSTEMS ⋮ Decay of correlation implies chaos in the sense of Devaney ⋮ Stochastic properties in Devaney's chaos ⋮ Optimal instruments and models for noisy chaos ⋮ From annular to interval dynamics: symbolic analysis of the periodically forced Brusselator.

Cites Work

• Unnamed Item
• Some flesh on the skeleton: the bifurcation structure of bimodal maps
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A two-dimensional mapping with a strange attractor
• Invariant curves, attractors, and phase diagram of a piecewise linear map with chaos
• Repellers, semi-attractors, and long-lived chaotic transients
• Structural stability of Lorenz attractors
• The structure of Lorenz attractors
• Dynamics retrospective: Great problems, attempts that failed
• Survey of regular and chaotic phenomena in the forced Duffing oscillator
• Symbolic dynamics for the Lozi map
• Admissibility conditions for symbolic sequences of the Lozi map
• Counting the number of periods in one-dimensional maps with multiple critical points
• Symbolic dynamics and systematics of periodic windows
• The Lorenz equations: bifurcations, chaos, and strange attractors
• An equation for continuous chaos
• On finite limit sets for transformations on the unit interval
• Symbolic Dynamics Approach to Intermittent Chaos
• On the symbolic dynamics of the Henon map
• Dynamics of double convection
• Transitions to chaos in two-dimensional double-diffusive convection
• A nonlinear oscillator with a strange attractor
• Deterministic Nonperiodic Flow
• Dynamics for a two-dimensional antisymmetric map
• Normal forms and chaos in thermosolutal convection

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