Transient Chaos: Complex Dynamics on Finite Time Scales

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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.

Author(s): Ying-Cheng Lai, Tamás Tél (auth.)
Series: Applied Mathematical Sciences 173
Edition: 1
Publisher: Springer-Verlag New York
Year: 2011

Language: English
Pages: 496
Tags: Dynamical Systems and Ergodic Theory;Statistical Physics, Dynamical Systems and Complexity;Applications of Mathematics

Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Introduction to Transient Chaos....Pages 3-35
Transient Chaos in Low-Dimensional Systems....Pages 37-77
Crises....Pages 79-106
Noise and Transient Chaos....Pages 107-143
Front Matter....Pages 145-145
Fractal Basin Boundaries....Pages 147-185
Chaotic Scattering....Pages 187-238
Quantum Chaotic Scattering and Conductance Fluctuations in Nanostructures....Pages 239-262
Front Matter....Pages 263-263
Transient Chaos in Higher Dimensions....Pages 265-310
Transient Chaos in Spatially Extended Systems....Pages 311-339
Front Matter....Pages 341-341
Chaotic Advection in Fluid Flows....Pages 343-383
Controlling Transient Chaos and Applications....Pages 385-412
Transient Chaotic Time-Series Analysis....Pages 413-434
Back Matter....Pages 435-497