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Ergodic properties of a method of numerical simulation of chaotic dynamical systems

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Publication:913344
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DOI10.1007/BF01158885zbMath0699.58051MaRDI QIDQ913344

M. L. Blank

Publication date: 1989

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

chaotic dynamical systemsstochastic perturbations


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ergodic theory (37A99)


Related Items

Pathologies generated by round-off in dynamical systems, Perron–Frobenius Operator Filter for Stochastic Dynamical Systems, Existence, mixing and approximation of invariant densities for expanding maps on \(\mathbb{R}^r\)



Cites Work

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  • Central difference scheme and chaos
  • Approach to equilibrium for locally expanding maps in \({\mathbb{R}}^ k\)
  • Do numerical orbits of chaotic dynamical processes represent true orbits?
  • Ergodic properties of invariant measures for piecewise monotonic transformations
  • Effects of phase space discretization on the long-time behavior of dynamical systems
  • Théorie ergodique pour des classes d'opérations non completement continues
  • On the Existence of Invariant Measures for Piecewise Monotonic Transformations
  • Long Periodic Orbits of the Triangle Map
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