MAPS WITH RANDOM PERTURBATIONS ARE GENERICALLY NOT CHAOTIC

DOI10.1142/S0218127495001058zbMath0886.58027OpenAlexW1991330707MaRDI QIDQ4374572

Katarina Janková, Jaroslav Smítal

Publication date: 4 February 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127495001058

zbMATH Keywords

trajectoriesdynamical systemsrandom perturbationsiteratescontinuous maps of the interval

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (7)

Chaos and stability in some random dynamical systems ⋮ Chaotic behaviour of uniformly convergent non-autonomous systems with randomly perturbed trajectories ⋮ The life and mathematics of Jaroslav Smítal ⋮ On problems of Topological Dynamics in non-autonomous discrete systems ⋮ Random Dynamical Systems Generated by Two Allee Maps ⋮ Recurrence in Systems with Randomly Perturbed Trajectories on the n-Dimensional Cube ⋮ RECURRENCE IN SYSTEMS WITH RANDOM PERTURBATIONS

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