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Artículo
Intersection of crisis loci in a driven nonlinearly damped oscillator
(Elsevier, 1995)
We report on a phenomenon observed in a driven nonlinearly damped oscillator when two control parameters, the frequency of the external excitation and the nonlinear damping coefficient, are varied simultaneously. An interior ...
Artículo
Diffusion in a class of exactly solvable non-harmonic potentials. Intrinsic effects induced by non-linearities
(Elsevier, 1990)
This paper deals with the problem of a particle that diffuses in a potential with a reflecting barrier and has a point of stable equilibrium and a point of unstable equilibrium. Based on the exact solutions obtained earlier ...
Artículo
Lie symmetries and multiple solutions in lambda-omega reaction-diffusion systems
(IOP, 1997)
Lie theory of transformation groups is applied to the study of lambda-omega reaction-diffusion systems in two-dimensional media. Our study proves that they are invariant with respect to a five-parameter symmetry group. ...
Artículo
Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models
(IOP Science, 1997)
Symmetries of nonlinear reaction-diffusion equations determine the existence of regular rotating spiral waves. They are only a consequence of kinetics processes and molecular diffusion. We prove the existence of these waves ...