Dissipative Solitons in Reaction Diffusion Systems :
General Material Designation
[Book]
Other Title Information
Mechanisms, Dynamics, Interaction
First Statement of Responsibility
by Andreas W. Liehr.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
2013
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 recurs en línia (1 recurs en línia (XIX, 212 pàgines)).
SERIES
Series Title
Springer Series in Synergetics, 70.
CONTENTS NOTE
Text of Note
Conté: Experimental Observations --; Modeling --; Dynamics --; Interaction of Slow Dissipative Solitons --; Dynamics and Interaction of Experimental Dissipative Solitons --; Generation and Annihilation
SUMMARY OR ABSTRACT
Text of Note
Dissipative solitons are local excitations of nonlinear continuous systems which emerge due to a flux of energy or matter. Although they are continuous entities, dissipative solitons in reaction diffusion systems behave like particles: They are generated or annihilated as a whole, propagate with a well-defined velocity and interact with each other, which can lead to the formation of bound states, e.g. This book introduces dissipative solitons in the context of pattern formation, discusses experimental findings in chemical and physical systems, deduces a phenomenological model of dissipative solitons from basic principles, analyzes their dynamics and interaction from a theoretical point of view and verifies these finding in an experimental system by means of stochastic data analysis. Finally, the mechanisms of annihilation and generation are explained on the basis of simulations. Theoretical considerations focus on a certain family of reaction diffusion models with the result such that basic and advanced analytical methods can be introduced from scratch and can be followed down to computational results.