Transient Chaos

Complex Dynamics on Finite Time Scales Ying-Cheng Lai, Tamás Tél ... quantity is the temperature difference between two Y.-C. Lai and T. Tél, Transient Chaos: Complex Dynamics on Finite-Time Scales, Applied Mathematical Sciences 173, ...

Author: Ying-Cheng Lai

Publisher: Springer Science & Business Media

ISBN: 9781441969873

Category: Mathematics

Page: 496

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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.

Handbook of Applications of Chaos Theory

Y.-C. Lai and T. Tél. Transient Chaos: Complex Dynamics on Finite-Time Scales. ... A tutorial on dynamical systems concepts applied to Lagrangian transport in oceanic flows defined as finite time data sets: Theoretical and computational ...

Author: Christos H. Skiadas

Publisher: CRC Press

ISBN: 9781315356549

Category: Mathematics

Page: 934

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In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Applied Mechanics Reviews

Materials science mongraphs 41 ( Elsevier , New York , 1987 ) 11N38 DE CARVALHO , JR FG : Diffusion around oblate ... Sov Aeronaut v 29 0 3 ( 1986 ) dimensional case , Comput Math Appl v 12A n methods of high order for the time ...

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ISBN: OSU:32435026160796

Category: Mechanics, Applied

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Bulletin of the Atomic Scientists

The introduction of the space vehicle, which can completely escape the environment of the Earth, unshackles the scientific investigator and enables him for the first time to perform direct experiments in space concerned with the origin ...

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Page: 88

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The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

Physics Briefs

167-173 The vibrations of a chequered rectangular membrane with different constant densities in each of its four segments ... exhibit complicated dynamic behaviors including period multiplying and demultiplying bifurcations and chaos .

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ISBN: STANFORD:36105005190330

Category: Physics

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