Fractal dimension of higher-dimensional chaotic repellors

DOI10.1016/S0167-2789(99)00222-5zbMath0974.37016arXivnlin/0003014OpenAlexW2016602755MaRDI QIDQ1972883

Edward Ott, David Sweet

Publication date: 26 April 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0003014

zbMATH Keywords

Lyapunov exponentsfractal dimensionunstable manifoldsnonattracting chaotic setschaotic scattering billiard

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dimension theory of smooth dynamical systems (37C45)

Related Items (5)

Limits to predictability of the asymptotic state of the Atlantic meridional overturning circulation in a conceptual climate model ⋮ Rough basin boundaries in high dimension: Can we classify them experimentally? ⋮ Analysis and applied study of dynamic characteristics of chaotic repeller in complicated system ⋮ Three-dimensional optical billiard chaotic scattering ⋮ Chaotic Saddles in a Generalized Lorenz Model of Magnetoconvection

Cites Work

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• The transition to chaotic attractors with riddled basins
• The Lyapunov dimension of a nowhere differentiable attracting torus
• A Dynamical Meaning of Fractal Dimension
• RIDDLED BASINS
• Topology in chaotic scattering

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