Complexity, initial condition sensitivity, dimension and weak chaos in dynamical systems

DOI10.1088/0951-7715/16/4/302zbMath1031.37018arXivmath/0108209OpenAlexW2049236025MaRDI QIDQ4437781

Stefano Galatolo

Publication date: 3 December 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108209

zbMATH Keywords

complexitydimensionasymptotic behaviourweakly chaotic dynamics\(0\)-entropy dynamical systemsinitial condition sensitivityManneville map

Mathematics Subject Classification ID

Topological dynamics (37B99) Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

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