Noise and statistical periodicity

DOI10.1016/0167-2789(87)90125-4zbMath0645.60068OpenAlexW1969549039MaRDI QIDQ1103274

Michael C. Mackey, Andrzej Lasota

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90125-4

zbMATH Keywords

discrete time dynamical systemsasymptotic decomposition theoremevolution of densities

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic stability in control theory (93E15) Stochastic analysis (60H99)

Related Items (10)

Constrictive Markov operators induced by Markov processes ⋮ Asymptotic stability of densities in coupled map lattices ⋮ Stochastic perturbation of dynamical systems: The weak convergence of measures ⋮ Chaos, noise, and extinction in models of population growth ⋮ RANDOMLY CONNECTED DYNAMICAL SYSTEMS ON BANACH SPACES ⋮ MULTIPLICATIVE STOCHASTIC PERTURBATIONS OF ONE-DIMENSIONAL MAPS ⋮ Rotation number of contracted rotations ⋮ Models of the temporal dynamics of visual processing ⋮ How can we describe density evolution under delayed dynamics? ⋮ Asymptotic (statistical) periodicity in two-dimensional maps

Cites Work

• Unnamed Item
• Effect of noise on the standard mapping
• Asymptotic periodicity of the iterates of weakly constrictive Markov operators
• On the significance of absolutely continuous invariant measures
• Attractors of convex maps with positive Schwarzian derivative in the presence of noise
• Randomness implies order
• Small random perturbations of dynamical systems and the definition of attractors
• Asymptotic Periodicity of the Iterates of Markov Operators
• Probabilistic Properties of Deterministic Systems
• Chaotic Behavior in Piecewise Continuous Difference Equations
• ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS

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