Chaos in discrete maps, deterministic scattering, and nondifferentiable functions.

DOI10.1007/BF01019718zbMath1084.37512MaRDI QIDQ1963522

Yanyan Li

Publication date: 2 February 2000

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

zbMATH Keywords

random walksnondifferentiable functionsChaotic dynamicsdeterministic scattering

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18) Applications of statistical mechanics to specific types of physical systems (82D99) Dynamical aspects of statistical mechanics (37A60)

Related Items (4)

SU(2)/U(1) dynamical system ⋮ Symmetry-breaking and fractal dependence on initial conditions in dynamical systems: One-dimensional noninvertible mappings ⋮ Groups and dynamical systems. Discrete time dynamics on the E(2) group ⋮ Asymptotic fractals

Cites Work

• Quantitative universality for a class of nonlinear transformations
• Smooth functions
• Strange attractors and chaotic motions of dynamical systems
• Ergodic theory of chaos and strange attractors
• Simple mathematical models with very complicated dynamics
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