Can a polynomial interpolation improve on the Kaplan-Yorke dimension?

DOI10.1016/J.PHYSLETA.2008.05.022zbMath1221.37069OpenAlexW2058786500MaRDI QIDQ716927

Hendrik Richter

Publication date: 27 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.05.022

zbMATH Keywords

Lyapunov exponentsKaplan-Yorke dimensionhigher-dimensional chaotic maps

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• Defect-controlled numerical methods and shadowing for chaotic differential equations
• A comparison of correlation and Lyapunov dimensions
• The Lyapunov dimension of strange attractors
• Dimension, entropy and Lyapunov exponents in differentiable dynamical systems
• Some relations between dimension and Lyapunov exponents
• A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors
• An efficient QR based method for the computation of Lyapunov exponents
• Equivalence of the continuum limit of the generalized Rössler system and the chaotic transmission line oscillator
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• On a family of maps with multiple chaotic attractors
• The second law of thermodynamics and multifractal distribution functions: bin counting, pair correlations, and the Kaplan-Yorke conjecture
• Hyperlabyrinth chaos: From chaotic walks to spatiotemporal chaos
• THE DYNAMICS OF RUNGE–KUTTA METHODS
• THE GENERALIZED HÉNON MAPS: EXAMPLES FOR HIGHER-DIMENSIONAL CHAOS

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