Local Lyapunov exponents and a local estimate of Hausdorff dimension

Alp Eden

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1989)

  • Volume: 23, Issue: 3, page 405-413
  • ISSN: 0764-583X

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Eden, Alp. "Local Lyapunov exponents and a local estimate of Hausdorff dimension." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 23.3 (1989): 405-413. <http://eudml.org/doc/193569>.

@article{Eden1989,
author = {Eden, Alp},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Hausdorff dimension; attractor; dissipative ODE},
language = {eng},
number = {3},
pages = {405-413},
publisher = {Dunod},
title = {Local Lyapunov exponents and a local estimate of Hausdorff dimension},
url = {http://eudml.org/doc/193569},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Eden, Alp
TI - Local Lyapunov exponents and a local estimate of Hausdorff dimension
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1989
PB - Dunod
VL - 23
IS - 3
SP - 405
EP - 413
LA - eng
KW - Hausdorff dimension; attractor; dissipative ODE
UR - http://eudml.org/doc/193569
ER -

References

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  1. [M] Ricardo MANÉ, « On the dimension of the compact invariant sets of certain nonlinear maps», Dynamical System and Turb. Warkwick 1980, Lecture Notes in Mathematics 1007 Springer-Verlag, p. 230-242. Zbl0544.58014MR654892
  2. [CFT] P. CONSTANTIN, C. FOIAS, R. TEMAM, « Attractors Representing Turbulent Flows», AMS Memoirs, p. 314, 1985. Zbl0567.35070MR776345
  3. [EFT] A. EDEN, C. FOIAS, R. TEMAM, Local and Global Lyapunov Exponents, in preparation. Zbl0718.34080
  4. [L] E. N. LORENZ, « Deterministic nonperiodic flow», J. Atmos. Sci., 20, 1963, p. 130-141. 
  5. [ER] J. P. ECKMANN, D. RUELLE, « Ergodic Theory of Chaos and Strange Attractors», Rev. of Modern Physics, vol. 57, n° 3, 1985. Zbl0989.37516MR800052
  6. [E] A. EDEN, « An Abstract Theory of L-exponents with Applications to Dimension Analysis», Ph. D. thesis. 
  7. [T] R. TEMAN, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, 1988. Zbl0662.35001MR953967
  8. [GT] J. M. GHIDAGLIA, R. TEMAM, « Attractors for damped nonlinear hyperbolic equations», Jour. Math. Pure and Appl. 66, 1987. Zbl0572.35071MR913856

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