We address the stability of solitary pulses as well as some other travelling structures near the onset of spatiotemporal chaos in a two-species reaction-diffusion model describing the oxidation of CO on a Pt(110) surface in one spatial dimension. First, the boundary of the existence region of stable pulses is explored by means of numerical integration of the reaction-diffusion equations. The partial differential equations (PDE) of the model are next reduced to a set of ordinary differential equations (ODE) by the introduction of a moving frame and a detailed analysis of travelling wave solutions and their bifurcations is presented. The results are then compared to findings in numerical simulations and stability computations in the full PDE....
We analyse instabilities of standing pulses in reaction-diffusion systems that are caused by an abso...
A study is presented of a one-dimensional, nonlinear partial differential equation that describes ev...
A reaction-diffusion model for CO oxidation on Pt(110) single crystals proposed by Krischer, Eiswirt...
We address the stability of solitary pulses as well as some other traveling structures near the onse...
We consider a family of differential equations that describes traveling waves in a reaction-diffusio...
We consider a family of differential equations that describes traveling waves in a reaction-diffusio...
We present a detailed study of the statistical steady states of a model for CO oxidation on Pt(110) ...
We present a detailed study of the statistical steady states of a model for CO oxidation on Pt(110) ...
Reaction-diffusion equations have proved to be highly successful models for a wide range of biologic...
We present numerical studies of a model for CO oxidation on the surface of Pt(110) proposed in Ref. ...
We present numerical studies of a model for CO oxidation on the surface of Pt(110) proposed in Ref. ...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this article, a general geometric singular perturbation framework is developed to study the impac...
We analyse instabilities of standing pulses in reaction-diffusion systems that are caused by an abso...
We analyse instabilities of standing pulses in reaction-diffusion systems that are caused by an abso...
A study is presented of a one-dimensional, nonlinear partial differential equation that describes ev...
A reaction-diffusion model for CO oxidation on Pt(110) single crystals proposed by Krischer, Eiswirt...
We address the stability of solitary pulses as well as some other traveling structures near the onse...
We consider a family of differential equations that describes traveling waves in a reaction-diffusio...
We consider a family of differential equations that describes traveling waves in a reaction-diffusio...
We present a detailed study of the statistical steady states of a model for CO oxidation on Pt(110) ...
We present a detailed study of the statistical steady states of a model for CO oxidation on Pt(110) ...
Reaction-diffusion equations have proved to be highly successful models for a wide range of biologic...
We present numerical studies of a model for CO oxidation on the surface of Pt(110) proposed in Ref. ...
We present numerical studies of a model for CO oxidation on the surface of Pt(110) proposed in Ref. ...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this article, a general geometric singular perturbation framework is developed to study the impac...
We analyse instabilities of standing pulses in reaction-diffusion systems that are caused by an abso...
We analyse instabilities of standing pulses in reaction-diffusion systems that are caused by an abso...
A study is presented of a one-dimensional, nonlinear partial differential equation that describes ev...
A reaction-diffusion model for CO oxidation on Pt(110) single crystals proposed by Krischer, Eiswirt...