We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. We point out that these localized solutions, which are surrounded by a pattern-free state, exist for a range of values for the external stress parameter subcritically. We discuss briefly for which experimentally accessible systems such states could possibly be observable
This dissertation studies nonlinear partial differential equations (PDEs) describing pattern formati...
Systems driven far from thermodynamic equilibrium can create dissipative structures through the spon...
flu ff meequilibrium aspects of phase transitions, many have be-come interested in the non-equilibri...
We show that stable standing wave localized solutions of square symmetry are possible for a quintic ...
We show that stable standing wave localized solutions of square symmetry are possible for a quintic ...
The formation of self-organized patterns and localized states are ubiquitous in Nature. Localized st...
Abstract: "Patterned structures are represented by means of a potential equal to the sum of a non-co...
In pattern-forming systems, localized patterns are states of intermediate complexity between fully e...
We consider the transition from a spatially uniform state to a steady, spatially- periodic pattern i...
In pattern-forming systems, localized patterns are states of intermediate complexity between fully e...
In pattern-forming systems, localized patterns are states of intermediate complexity between fully e...
Square Turing patterns are usually unstable in reaction-diffusion systems and are rarely observed in...
Systems driven far from thermodynamic equilibrium can create dissipative structures through the spon...
In this paper, we deal with two models for pattern formation in active system on the d-dimensional t...
Systems driven far from thermodynamic equilibrium can create dissipative structures through the spon...
This dissertation studies nonlinear partial differential equations (PDEs) describing pattern formati...
Systems driven far from thermodynamic equilibrium can create dissipative structures through the spon...
flu ff meequilibrium aspects of phase transitions, many have be-come interested in the non-equilibri...
We show that stable standing wave localized solutions of square symmetry are possible for a quintic ...
We show that stable standing wave localized solutions of square symmetry are possible for a quintic ...
The formation of self-organized patterns and localized states are ubiquitous in Nature. Localized st...
Abstract: "Patterned structures are represented by means of a potential equal to the sum of a non-co...
In pattern-forming systems, localized patterns are states of intermediate complexity between fully e...
We consider the transition from a spatially uniform state to a steady, spatially- periodic pattern i...
In pattern-forming systems, localized patterns are states of intermediate complexity between fully e...
In pattern-forming systems, localized patterns are states of intermediate complexity between fully e...
Square Turing patterns are usually unstable in reaction-diffusion systems and are rarely observed in...
Systems driven far from thermodynamic equilibrium can create dissipative structures through the spon...
In this paper, we deal with two models for pattern formation in active system on the d-dimensional t...
Systems driven far from thermodynamic equilibrium can create dissipative structures through the spon...
This dissertation studies nonlinear partial differential equations (PDEs) describing pattern formati...
Systems driven far from thermodynamic equilibrium can create dissipative structures through the spon...
flu ff meequilibrium aspects of phase transitions, many have be-come interested in the non-equilibri...
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