Coupled skinny baker's maps and the Kaplan–Yorke conjecture

DOI10.1088/0951-7715/26/9/2641zbMath1306.37027arXiv1303.0030OpenAlexW3100162705WikidataQ123165943 ScholiaQ123165943MaRDI QIDQ2852526

Maik Gröger, Brian R. Hunt

Publication date: 9 October 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0030

zbMATH Keywords

coupled systeminformation dimensionLyapunov dimensionphysical measureKaplan-Yorke conjectureuni-directional coupling

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Generic properties, structural stability of dynamical systems (37C20) Dimension theory of smooth dynamical systems (37C45)

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