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Transient Chaos: Complex Dynamics on Finite Time Scales de Ying-Cheng Lai

Transient Chaos: Complex Dynamics on Finite Time Scales: Applied Mathematical Sciences, cartea 173

Autor Ying-Cheng Lai, Tamás Tél
en Limba Engleză Hardback – 3 mar 2011
The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.
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Specificații

ISBN-13: 9781441969866
ISBN-10: 1441969861
Pagini: 410
Ilustrații: XVI, 496 p.
Dimensiuni: 155 x 235 x 35 mm
Greutate: 0.84 kg
Ediția:2011
Editura: Springer
Colecția Springer
Seria Applied Mathematical Sciences

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

Introduction.- Chaotic Saddles.- Transition to Transient Chaos.- Fractal Basin Boundaries.- Classical Chaotic Scattering.- Passive and Active Processes in open Chaotic Flows.- Quantum Chaotic Scattering and Transport in Nanosctructures.- Transient Chaos in High Dimensions.- Further Applications  and Outlooks.- Appendix: Multifractal Properties of Transient Chaos.

Recenzii

From the reviews:
“The main strengths of the book is its unifying treatment of transient chaos, presented in the first couple of chapters. … Its target is the heterogeneous community of physicists, applied mathematicians and engineers who work in dynamical systems, and are interested in transient chaos. … this book is truly a gem, and is bound to become almost overnight the essential reference on transient chaos, and a must on the bookshelf of anyone seriously interested in the area. I highly recommend it.” (Alessandro P. S. de Moura, Mathematical Reviews, Issue 2012 b)
“The authors did an excellent job providing both a theoretical background necessary for the understanding of the concept of transient chaos and related notions and an overview of a variety of transient-chaos related phenomena. This encyclopedic monograph, nicely written by two well-known experts in the field, will be of interest for graduate students, researchers and engineers who deal with dynamical systems and their applications and have a working knowledge of nonlinear dynamics and sustained chaos.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1218, 2011)

Notă biografică

Ying-Cheng Lai’s main research interests are Chaotic Dynamics, Complex Networks, Quantum Transport in Nanostructures, Biological Physics, and Signal Processing. He is a professor at the Arizona State University. Tamas Tel's main research interests are Chaotic Dynamics, Stochastic Processes, Hydrodynamics, Spreading of Pollutants, and Environmental Flows.

Textul de pe ultima copertă

This book represents the first comprehensive treatment of Transient Chaos. It gives an overview of the subject based on three decades of intensive research. One special emphasis is on applications, and the fact that certain interesting dynamical phenomena can be understood only in the framework of transient chaos. Specific topics treated include basic concepts and characterization of transient chaos, crises, fractal basin boundaries, chaotic scattering, noise-induced chaos, chaotic advections and the spreading of pollutants in fluid flows, quantum chaotic scattering, spatiotemporal chaotic transients and turbulence, controlling transient chaos, and analysis of transient chaotic time series, etc. Materials in the book reflect the most recent advances in the field. Case studies and examples are included in each chapter with relevant experimental evidence wherever appropriate.The book is intended for researchers and graduate students in Physics, Engineering, Applied Mathematics, and Biomedical Sciences. Ying-Cheng Lai is a Professor of Electrical Engineering and Professor of Physics at Arizona State University, USA and a Sixth Century Chair in Electrical Engineering at the University of Aberdeen, UK. Tamás Tél is a Professor of Physics at Eötvös University, Budapest, Hungary.

Caracteristici

Timely book by two well known experts in area Many case studies and examples Comprehensive overview of literature