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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
Discrete breathers and Anderson modes: two faces of the same phenomenon?
(Elsevier, 1999)
Time-periodic localized oscillations occur in a variety of contexts, in particular in weakly coupled anharmonic lattices and in disordered harmonic networks of oscillators, where they are known respectively as discrete ...
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 ...