Titlebook: Dissipative Solitons: From Optics to Biology and Medicine; Adrian Ankiewicz,Nail Akhmediev Book 2008 Springer-Verlag Berlin Heidelberg 200

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Book 2008loud wave hundreds of kilometers long – is also a dissipative soliton. During almost four decades of blossoming, soliton science produced brilliant results based on the “inverse scattering technique”, which allowed for construction of soliton solutions for a variety of integrable systems describing

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Jean-Pierre Vidalain,Louis Setieyxes make them akin to molecules. However, the analogy has clear limitations, since these ‘soliton molecules’ are inherently strongly dissipative and require a sustained energy supply from the gain medium.

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The “Unpacked” Core Concept of , non-local effects (walk-off) and diffraction leads to the appearance of an original nonlinear gradient term in the amplitude equation in a bistable regime, and this describes the near-threshold dynamics of intra-cavity fields. Our analytical investigations show the utmost importance of non-local ef

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https://doi.org/10.1007/978-1-4939-6909-8ates extended waves and allows for various resonances of discrete breathers with damped cavity modes. We discuss applications of the discrete breather concept in systems where dissipation is not only unavoidable but essential in order to observe and manipulate discrete breathers, and in order to use

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Jules François,Virgilio Victoria-Troncoso shape. Two types of stable propagating pulses are observed in networks of excitatory and inhibitory neurons. During fast pulses, inhibitory neurons fire a short time before or after the excitatory neurons. During slow pulses, inhibitory cells fire well before neighboring excitatory cells, and poten

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Jane K. A. Cook,A. P. A. Mockettolutions. In two-space dimensions, we show how single-bump, double-bump and multi-ring waves form in response to a Gaussian-shaped stimulus. We also show how a stable, one-armed rotating spiral wave can form and fill the entire domain. All of these phenomena can be initiated at any point in the medi

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Excitability Mediated by Dissipative Solitons in Nonlinear Optical Cavities,spatial dependence, since the system does not exhibit any excitable behavior locally. We demonstrate the existence of two different mechanisms which lead to excitability, pending on the profile of the pump field.

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,Temporal Soliton “Molecules” in Mode-Locked Lasers: Collisions, Pulsations, and Vibrations,xes make them akin to molecules. However, the analogy has clear limitations, since these ‘soliton molecules’ are inherently strongly dissipative and require a sustained energy supply from the gain medium.