Singular perturbations of piecewise monotonic maps of the interval.

DOI10.1007/BF01019688zbMath1084.37521MaRDI QIDQ1963583

Boyarski, Abraham

Publication date: 2 February 2000

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

zbMATH Keywords

singular perturbationsexpanding mapsabsolutely continuous invariant measurescomputer orbitsPiecewise monotonic

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

A matrix method for estimating the Lyapunov exponent of one-dimensional systems.

Cites Work

• Unnamed Item
• Randomness implies order
• Small random perturbations of dynamical systems and the definition of attractors
• Stochastic stability in some chaotic dynamical systems
• Random perturbations of transformations of an interval
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Random composing of mappings, small stochastic perturbations and attractors
• Probabilistic Properties of Deterministic Systems
• The ergodic behaviour of piecewise monotonic transformations

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