A computation of the limit capacity of the Lorenz attractor

DOI10.1016/0167-2789(85)90063-6zbMath0591.58020OpenAlexW2066469306MaRDI QIDQ1074929

Mark J. McGuinness

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-2789(85)90063-6

zbMATH Keywords

fractal dimensionLorenz attractorlimit capacity

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18)

Related Items (1)

Stochastic dynamics of electric dipole in external electric fields: a perturbed nonlinear pendulum approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On determining the dimension of chaotic flows
• The real and complex Lorenz equations in rotating fluids and lasers
• The Lyapunov dimension of strange attractors
• Measuring the strangeness of strange attractors
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• Fractal Dimensions of Chaotic Flows of Autonomous Dissipative Systems
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Period Three Implies Chaos
• A generalization of the Königsberg bridges problem
• Deterministic Nonperiodic Flow

This page was built for publication: A computation of the limit capacity of the Lorenz attractor