Synergetic phenomena in active lattices
Subtitle: patterns, waves, solitons, chaos
By: by Vladimir I. Nekorkin, Manuel G. Velarde
Contributors: Velarde, Manuel G. (Manuel García)
Series: Springer Series in Synergetics, 0172-7389; Springer series in synergetics (Unnumbered)
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin
Language: eng
Format: [electronic resource]
Number of pages: 357
ISBN-13: 9783642560538
Description: Within nonlinear spatio-temporal dynamics, active lattice systems are of relevance to the study of multi-dimensional dynamical systems and the theory of nonlinear waves and dis- sipative structures of extended systems. In this book, the authors deal with basic concepts and models, with methodolo- gies for studying the existence and stability of motions, understanding the mechanisms of formation of patterns and waves, their propagation and interactions in active lattice systems, and about how much cooperation or competition bet- ween order and chaos is crucial for synergetic behavior and evolution. The results described in the book have both inter- and trans-disciplinary features and a fundamental character. It is a textbook for graduate courses in nonlinear sciences, including physics, biophysics, biomathematics, bioengineering, neurodynamics, electrical and electronic engineering, mathematical economics, and computer sciences.
Table of contents: title: Solitary Waves, Bound Soliton States, and Chaotic Soliton Trains in a Dissipative Boussinesq-Korteweg-de Vries Equation; title: Self-Organization in a Long Josephson Junction; title: Spatial Structures, Wave Fronts, Periodic Waves, Pulses and Solitary Waves in a One-Dimensional Array of Chua's Circuits; title: Patterns, Spatial Disorder and Waves in a Dynamical Lattice of Bistable Units; title: Mutual Synchronization, Control and Replication of Patterns and Waves in Coupled Lattices Composed of Bistable Units; title: Spatio-Temporal Chaos in Bistable Coupled Map Lattices; title: Conclusions and Perspective.