Analytical approach to estimating the dimension of attractors

DOI10.1007/BF01182471zbMath0849.34046MaRDI QIDQ1917178

Yanyan Li

Publication date: 15 October 1996

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimension of the attractorsKaplan-Yorke-type estimate

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45)

Cites Work

• Unnamed Item
• Unnamed Item
• The complex Lorenz equations
• The real and complex Lorenz equations in rotating fluids and lasers
• Determining Lyapunov exponents from a time series
• Dimensions and entropies of strange attractors from a fluctuating dynamics approach
• Measuring the strangeness of strange attractors
• Some relations between dimension and Lyapunov exponents
• Infinite-dimensional dynamical systems in mechanics and physics
• Dimension estimate of the global attractor for forced oscillation systems
• Local and global Lyapunov exponents
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Dimension, entropy and Lyapunov exponents
• Attractors representing turbulent flows
• Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
• Deterministic Nonperiodic Flow