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Artículo
New classes of stable exact solutions for a nonlinear rotational DNA model
(Jagellonian University, 2010)
We consider a system of two coupled nonlinear partial differential equations for describing the rotational motions of bases in both polynucleotide chains of the DNA molecule. The model was proposed by L.V. Yakushevich and ...
Artículo
Very large stochastic resonance gains in finite sets of interacting identical subsystems driven by subthreshold rectangular pulses
(American Physical Society, 2007)
We study the phenomenon of nonlinear stochastic resonance (SR) in a complex noisy system formed by a finite number of interacting subunits driven by rectangular pulsed time periodic forces. We find that very large SR gains ...
Artículo
Stochastic resonance with weak monochromatic driving: Gains above unity induced by high-frequency signals
(European Physical Society, 2007)
We study the effects of a high-frequency (HF) signal on the response of a noisy bistable system to a low-frequency subthreshold sinusoidal signal. We show that, by conveniently choosing the ratio of the amplitude of the ...
Artículo
Soliton ratchets in homogeneous nonlinear Klein-Gordon systems
(2006)
We study in detail the ratchetlike dynamics of topological solitons in homogeneous nonlinear Klein-Gordon systems driven by a biharmonic force. By using a collective coordinate approach with two degrees of freedom, namely ...
Artículo
Nonlinear Schrödinger equation with spatiotemporal perturbations
(2010)
We investigate the dynamics of solitons of the cubic nonlinear Schrödinger equation (NLSE) with the following perturbations: nonparametric spatiotemporal driving of the form f(x,t)=a exp[iK(t)x], damping, and a linear term ...
Ponencia
Overdamped deterministic ratchets driven by multifrequency forces
(Jagellonian University, Cracow, 2006)
We investigate a dissipative, deterministic ratchet model in the overdamped regime driven by a rectangular force. Extensive numerical calculations are presented in a diagram depicting the drift velocity as a function of a ...
Artículo
Generalized traveling-wave method, variational approach, and modified conserved quantities for the perturbed nonlinear Schrödinger equation.
(2010)
The generalized traveling wave method (GTWM) is developed for the nonlinear Schrödinger equation (NLSE) with general perturbations in order to obtain the equations of motion for an arbitrary number of collective coordinates. ...