Fractal structure of hyperbolic Lipschitzian dynamical systems

DOI10.1134/S1061920812010050zbMath1263.37042MaRDI QIDQ455605

L. V. Lokutsievskiy

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionattractortopological Markov chainLipschitzian mappingMarkov partitioniteration systemKolmogorov dimensionnonwandering points

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Dimension theory of smooth dynamical systems (37C45) Dynamical systems with hyperbolic behavior (37D99)

Related Items (3)

Linear switched dynamical systems on graphs ⋮ Stochastic dynamics of Lie algebras of Poisson brackets in neighborhoods of nonsmoothness points of Hamiltonians ⋮ Typicality of chaotic fractal behavior of integral vortices in Hamiltonian systems with discontinuous right hand side

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fractal structure of hyperbolic Lipschitzian dynamical systems