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Applied and computational measurable dynamics / Erik M. Bollt, and Naratip Santitissadeekorn.

By: Contributor(s): Material type: TextTextSeries: Mathematical modeling and computationPublication details: Philadelphia : SIAM, c2013.Description: xiii, 368 p. : illustrations (some color) ; 26 cmISBN:
  • 9781611972634
Subject(s): DDC classification:
  • 515.39 23 B692
Contents:
Preface; 1. Dynamical systems, ensembles, and transfer operators; 2. Dynamical systems terminology and definitions; 3. Frobenius-Perron operator and infinitesimal generator; 4. Graph theoretic methods and Markov models of dynamical transport; 5. Graph partition methods and their relationship to transport in dynamical systems; 6. The topological dynamics perspective of symbol dynamics; 7. Transport mechanism, lobe dynamics, flux rates, and escape; 8. Finite time Lyapunov exponents; 9. Information theory in dynamical systems; A. Computation, codes, and computational complexity; Bibliography; Index.
Summary: An accessible guide to recent developments in computational and applied aspects of measurable dynamical systems, coherent structures and transport problems.
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Includes bibliographical references (pages 333-354) and index.

Preface;
1. Dynamical systems, ensembles, and transfer operators;
2. Dynamical systems terminology and definitions;
3. Frobenius-Perron operator and infinitesimal generator;
4. Graph theoretic methods and Markov models of dynamical transport;
5. Graph partition methods and their relationship to transport in dynamical systems;
6. The topological dynamics perspective of symbol dynamics; 7. Transport mechanism, lobe dynamics, flux rates, and escape;
8. Finite time Lyapunov exponents;
9. Information theory in dynamical systems;
A. Computation, codes, and computational complexity; Bibliography;
Index.

An accessible guide to recent developments in computational and applied aspects of measurable dynamical systems, coherent structures and transport problems.

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