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Dimension Theory for Ordinary Differential Equations

Bag om Dimension Theory for Ordinary Differential Equations

This book is devoted to the estimation of dimension-like characteristics (Hausdorff dimension, fractal dimension, Lyapunov dimension, topological entropy) for attractors (mainly global B-attractors) of ordinary differential equations, time-discrete systems and dynamical systems on finite-dimensional manifolds. The contraction under flows of parameter-dependent outer measures is shown by introducing varying Lyapunov functions or metric tensors in the calculation of singular values. For the attractors of the Henon and Lorenz systems, exact formulae for the Lyapunov dimension are derived.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783519004370
  • Indbinding:
  • Paperback
  • Sideantal:
  • 443
  • Udgivet:
  • 8. december 2005
  • Udgave:
  • 12005
  • Størrelse:
  • 240x170x23 mm.
  • Vægt:
  • 754 g.
  • 8-11 hverdage.
  • 10. december 2024

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This book is devoted to the estimation of dimension-like characteristics (Hausdorff dimension, fractal dimension, Lyapunov dimension, topological entropy) for attractors
(mainly global B-attractors) of ordinary differential equations, time-discrete systems and dynamical systems on finite-dimensional manifolds. The contraction under flows of
parameter-dependent outer measures is shown by introducing varying Lyapunov functions or metric tensors in the calculation of singular values. For the attractors of the Henon and Lorenz systems, exact formulae for the Lyapunov dimension are derived.

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