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The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s, nonlinear dynamics theory, and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples from optics, biology and medicine. These include laser systems, optical transmission lines, cortical networks, models of muscle contraction, localized vegetation structures and waves in brain tissues.
Solitons --- Energy dissipation --- Dissipation d'énergie --- Quantum Theory --- Biology --- Optics and Photonics --- Nuclear Physics --- Physics --- Engineering --- Biological Science Disciplines --- Natural Science Disciplines --- Technology, Industry, and Agriculture --- Disciplines and Occupations --- Technology, Industry, Agriculture --- Atomic Physics --- Physical Sciences & Mathematics --- Solitons. --- Energy dissipation. --- Dissipation d'énergie --- EPUB-LIV-FT LIVPHYSI SPRINGER-B --- Degradation, Energy --- Dissipation (Physics) --- Energy degradation --- Energy losses --- Losses, Energy --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Physics. --- Neurobiology. --- Applied mathematics. --- Engineering mathematics. --- Quantum optics. --- Lasers. --- Photonics. --- Laser Technology, Photonics. --- Quantum Optics. --- Applications of Mathematics. --- Force and energy --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Mathematics. --- Optics, Lasers, Photonics, Optical Devices. --- Math --- Science --- Neurosciences --- Engineering analysis --- Mathematical analysis --- Optics --- Photons --- Quantum theory --- New optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators --- Mathematics
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This book is an inspirational introduction to modern research directions and scholarship in nonlinear dynamics, and will also be a valuable reference for researchers in the field. With the scholarly level aimed at the beginning graduate student, the book will have broad appeal to those with an undergraduate background in mathematical or physical sciences.In addition to pedagogical and new material, each chapter reviews the current state of the area and discusses classic and open problems in engaging, surprisingly non-technical ways. The contributors are Brian Davies (bifurcations in maps), Nal
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