The region of transition between solitons and fronts in dissipative systems governed by the complex Ginzburg-Landau equation is rich with bifurcations. We found that the number of transitions between various types of localized structures is enormous. Fo
Comprehensive numerical simulations (reviewed in Dissipative Solitons, Akhmediev and Ankiewicz (Eds....
Nonlinear dissipative systems, particularly optical dissipative solitons are well described by compl...
Summary. We consider weakly unstable reaction–diffusion systems defined on domains with one or more ...
We show that dissipative systems can have a multiplicity of stationary solutions in the form of both...
Prigogine’s ideas of systems far from equilibrium and self-organization (Prigogine & Lefever. 1968 J...
We show that the complex cubic-quintic Ginzburg-Landau equation has a multiplicity of soliton soluti...
In this dissertation, we develop a theoretical framework for five new classes of pulse or solitary w...
In this paper we analyze in detail the structure of the phase space of a reversible dynamical system...
A new type of stable dynamic bound state of dissipative localized structures is found. It is charact...
Comprehensive numerical simulations (reviewed in Dissipative Solitons, Akhmediev and Ankiewicz (Eds....
In this chapter, we consider a theoretical framework for analyzing the strongly-amplitude modulated ...
Dissipative solitons with extreme spikes (DSESs), previously thought to be rare solutions of the com...
We study patterns that arise in the wake of an externally triggered, spatially propagating instabili...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
We study patterns that arise in the wake of an externally triggered, spatially propagating instabili...
Comprehensive numerical simulations (reviewed in Dissipative Solitons, Akhmediev and Ankiewicz (Eds....
Nonlinear dissipative systems, particularly optical dissipative solitons are well described by compl...
Summary. We consider weakly unstable reaction–diffusion systems defined on domains with one or more ...
We show that dissipative systems can have a multiplicity of stationary solutions in the form of both...
Prigogine’s ideas of systems far from equilibrium and self-organization (Prigogine & Lefever. 1968 J...
We show that the complex cubic-quintic Ginzburg-Landau equation has a multiplicity of soliton soluti...
In this dissertation, we develop a theoretical framework for five new classes of pulse or solitary w...
In this paper we analyze in detail the structure of the phase space of a reversible dynamical system...
A new type of stable dynamic bound state of dissipative localized structures is found. It is charact...
Comprehensive numerical simulations (reviewed in Dissipative Solitons, Akhmediev and Ankiewicz (Eds....
In this chapter, we consider a theoretical framework for analyzing the strongly-amplitude modulated ...
Dissipative solitons with extreme spikes (DSESs), previously thought to be rare solutions of the com...
We study patterns that arise in the wake of an externally triggered, spatially propagating instabili...
We briefly review the recent progress in obtaining (2+1) dimensional integrable generalizations of s...
We study patterns that arise in the wake of an externally triggered, spatially propagating instabili...
Comprehensive numerical simulations (reviewed in Dissipative Solitons, Akhmediev and Ankiewicz (Eds....
Nonlinear dissipative systems, particularly optical dissipative solitons are well described by compl...
Summary. We consider weakly unstable reaction–diffusion systems defined on domains with one or more ...
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