Titlebook: Dissipative Solitons in Reaction Diffusion Systems; Mechanisms, Dynamics Andreas W. Liehr Book 2013 Springer-Verlag Berlin Heidelberg 2013

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Cooperation and the Weighing of Interests of dissipative solitons in spatially extended systems. These are the dynamics of single dissipative solitons, their mutual interaction by scattering and formation of bound states, as well as generation and annihilation processes. Due to the focus of the book, only continuously driven experiments are considered.

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Cooperatives in Economic Literature—ticular we will discuss the fact, that under certain circumstances bound states of dissipative solitons propagate uniformly while unbound dissipative solitons are stationary. Finally, the dynamics of dissipative solitons in the vicinity of the drift-bifurcation are deduced.

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Modeling,minimal requirement for structure formation? Therefore the considerations start with discussing the dynamics resulting from a cubic non-linearity which leads to the concept of bifurcations and bistability. Taking spatial coupling into account one finds periodic structures and stationary fronts. Exte

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Dynamics,context the central concept of critical modes is introduced and discussed on basis of single dissipative solitons and their basic bound states. These considerations lead to analytic expression for the drift- and rotational velocities of the structures in the vicinity of the bifurcation point. In par

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Interaction of Slow Dissipative Solitudes,nalysis. This approach results into a reduction of the field dynamics to the position and excitation of the respective propagator mode where the interaction between dissipative solitons can be regarded approximately as classical central force. Starting from the reduced dynamics, scattering and the f

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Generation and Annihilation,ted. The transition is controlled by the intrinsic velocity of the dissipative solitons, which is adjusted by varying the time scale constant of the driving inhibitor. The formation of bound states is observed for slow dissipative solitons. With increasing propagator mode amplitude, the interaction

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