Is the dimension of chaotic attractors invariant under coordinate changes?
From MaRDI portal
Publication:1073428
DOI10.1007/BF01012932zbMath0588.58042OpenAlexW2017767992MaRDI QIDQ1073428
Edward Ott, James A. Yorke, Wm. Douglas Withers
Publication date: 1984
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01012932
Classical equilibrium statistical mechanics (general) (82B05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items (19)
Forecast entropy ⋮ On the equality of Hausdorff and box counting dimensions ⋮ A possible scheme for classifying phase transitions in the generalized entropy spectrum of a nonhyperbolic system ⋮ Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations ⋮ Nonconcave entropies in multifractals and the thermodynamic formalism ⋮ Fractal dimensions and homeomorphic conjugacies. ⋮ Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors. ⋮ Statistical-thermodynamic approach to a chaotic dynamical system: exactly solvable examples. ⋮ Some results on the behavior and estimation of the fractal dimensions of distributions on attractors ⋮ The Lyapunov dimension and its estimation via the Leonov method ⋮ Phase transitions in thermodynamics of a local Lyapunov exponent for fully-developed chaotic systems ⋮ Introduction to multifractals in dynamical systems theory and fully developed fluid turbulence ⋮ Effects of noise on some dynamical models in ecology ⋮ Construction of phenomenological models from numerical scalar time series ⋮ Extraction of dynamical equations from chaotic data ⋮ Dynamics of real polynomials on the plane and triple point phase transition ⋮ Dimension spectra and a mathematical model for phase transition ⋮ Fractal dimension of spatially extended systems ⋮ Transformation invariance of Lyapunov exponents
Cites Work
This page was built for publication: Is the dimension of chaotic attractors invariant under coordinate changes?
