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

Format:

Book

Author/Creator:

Bollt, Erik M., author.

Santitissadeekorn, Naratip, author.

Contributor:

Society for Industrial and Applied Mathematics, publisher.

Series:

Mathematical modeling and computation.

Mathematical modeling and computation

Language:

English

Subjects (All):

Dynamics.

Graph theory.

Ergodic theory.

Dynamics--Data processing.

Physical Description:

1 PDF (xiv, 368 pages)

Place of Publication:

Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2013.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

Until recently, measurable dynamics has been held as a highly theoretcal mathematical topic with few generally known obvious links for practitioners in areas of applied mathematics. However, the advent of high-speed computers, rapidly developing algorithms, and new numerical methods has allowed for a tremendous amount of progress and sophistication in efforts to represent the notion of a transfer operator discretely but to high resolution. This book connects many concepts in dynamical systems with mathematical tools from areas such as graph theory and ergodic theory. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures, and transport problems. The new and fast-developing computational tools discussed throughout the book allow for detailed analysis of real-world problems that are simply beyond the reach of traditional methods.

Contents:

Preface

Dynamical systems, ensembles, and transfer operators

Dynamical systems terminology and definitions

Frobenius-Perron operator and infintesimal generator

Graph theoretic methods and Markov models of dynamical transport

Graph partition methods and their relationship to transport in dynamical systems

The topological dynamics perspective of symbol dynamics

Transport mechanism, lobe dynamics, flux rates, and escape

Finite time Lyapunov exponents

Information theory in dynamical systems

Appendix A. Computation, codes, and computational complexity

Bibliography

Index.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Title from title screen, viewed 10/29/2013.

ISBN:

1-61197-264-7

OCLC:

861789642

Publisher Number:

MM18 SIAM