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Now showing items 11-20 of 27
Article
Impulse-induced localized control of chaos in starlike networks
(American Physical Society, 2016)
Locally decreasing the impulse transmitted by periodic pulses is shown to be a reliable method of taming chaos in starlike networks of dissipative nonlinear oscillators, leading to both synchronous periodic states ...
Article
Stability of non-time-reversible phonobreathers
(2011)
Non-time reversible phonobreathers are non-linear waves that can transport energy in coupled oscillator chains by means of a phase-torsion mechanism. In this paper, the stability properties of these structures have been ...
Article
Moving breather collisions in Klein-Gordon chains of oscillators
(2009)
We investigate the collisions of moving breathers, with the same frequency, in three different Klein-Gordon chains of oscillators. The on-site potentials are: the asymmetric and soft Morse potential, the symmetric and soft ...
Article
Moving discrete breathers in a Klein–Gordon chain with an impurity
(2002)
We analyse the influence of an impurity in the evolution of moving discrete breathers in a Klein–Gordon chain with non-weak nonlinearity. Three different types of behaviour can be observed when moving breathers interact ...
Article
Breather trapping and breather transmission in a DNA model with an interface
(2006)
We study the dynamics of moving discrete breathers in an interfaced piecewise DNA molecule. This is a chain in which all the base pairs are identical and there exists a discontinuity in the orientation of the dipole moments ...
Article
Diffusion equations for nonhomogeneous media. Existence of similarity solutions
(Elsevier, 1985)
We study the invariance of the diffusion equation δP(x,t)/δt = (δ/δx)[D(x)δP(x,t)/δx] under continuous groups of transformations. We show the conditions which D(x) must satisfy for the existence of similarity solutions.
Article
Discrete moving breather collisions in a Klein-Gordon chain of oscillators
(2008)
We study the collisions of moving breathers with the same frequency, traveling with opposite directions within a Klein–Gordon chain of oscillators. Two types of collisions have been analyzed: symmetric and non-symmetric, ...
Article
Demonstration of the stability or instability of multibreathers at low coupling
(2003)
Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation ...
Article
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. ...
Article
Breathers in a system with helicity and dipole interaction
(American Physical Society, 2002)
Recent papers that have studied variants of the Peyrard-Bishop model for DNA, have taken into account the long range interaction due to the dipole moments of the hydrogen bonds between base pairs. In these models the ...