Dissipative solitons : from optics to biology and medicine / edited by N. Akhmediev, A. Ankiewicz.

Format:

Book

Contributor:

Akhmediev, Nail N., editor.

Ankiewicz, Adrian, editor.

Series:

Lecture notes in physics ; 751.

Lecture notes in physics ; 751

Language:

English

Subjects (All):

Solitons.

Energy dissipation.

Physical Description:

1 online resource (XIII, 479 p. 349 illus.)

Edition:

1st ed. 2008.

Place of Publication:

Berlin, Germany : Springer, [2008]

Language Note:

English

Summary:

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.

Contents:

Three Sources and Three Component Parts of the Concept of Dissipative Solitons

Solitons in Viscous Flows

Cavity Solitons in Semiconductor Devices

Dissipative Solitons in Laser Systems with Non-Local and Non-Instantaneous Nonlinearity

Excitability Mediated by Dissipative Solitons in Nonlinear Optical Cavities

Temporal Soliton #x201C;Molecules#x201D; in Mode-Locked Lasers: Collisions, Pulsations, and Vibrations

Compounds of Fiber-Optic Solitons

Dissipative Nonlinear Structures in Fiber Optics

Three-Wave Dissipative Brillouin Solitons

Spatial Dissipative Solitons Under Convective and Absolute Instabilities in Optical Parametric Oscillators

Discrete Breathers with Dissipation

Anharmonic Oscillations, Dissipative Solitons and Non-Ohmic Supersonic Electric Transport

Coherent Optical Pulse Dynamics in Nano-composite Plasmonic Bragg Gratings

Collective Focusing and Modulational Instability of Light and Cold Atoms

On Vegetation Clustering, Localized Bare Soil Spots and Fairy Circles

Propagation of Traveling Pulses in Cortical Networks

Wave Phenomena in Neuronal Networks

Spiral Waves and Dissipative Solitons in Weakly Excitable Media.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9783540782179

3540782176