Exact Lyapunov dimension of attractors and convergence for the Lorenz system

DOI10.5890/JAND.2018.09.009zbMath1400.34094OpenAlexW2891878819WikidataQ129223041 ScholiaQ129223041MaRDI QIDQ4554124

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Publication date: 7 November 2018

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/jand.2018.09.009

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors of solutions to ordinary differential equations (34D45)

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Cites Work

• Lyapunov dimension formulas for Lorenz-like systems
• Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
• Lyapunov functions in the attractor dimension theory
• Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system
• The dimension formula for the Lorenz attractor
• Fishing principle for homoclinic and heteroclinic trajectories
• Local estimates for the Hausdorff dimension of an attractor
• Lyapunov dimension formula for the global attractor of the Lorenz system
• Local and global Lyapunov exponents
• Attraktorlokalisierung des Lorenz-Systems
• On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
• Deterministic Nonperiodic Flow
• On the shape and dimension of the Lorenz attractor
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