Download Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives - Ricardo Carretero-González | PDF
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Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives
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We nowadays think of such localized nonlinear excitations as being ubiquitous in nature due to their experimental realization in many diverse systems including,.
Physico-mechanical properties of polymers in solid state, in particular conditions of their structural transformations, are substantially defined by existence and mobility of elementary nonlinear excitations. The localized oscillatory excitations (breathers) which have been revealed in crystalline pe are important for thermodynamic studies.
The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied science, as well as engineering, due to their importance in understanding and predicting phenomena arising in nonlinear and complex systems, but also due to their potential for the development and design of novel applications.
We consider time-periodic nonlinear localized excitations(nle s) on one- dimensional translation- the existence, stability, and properties of nonlinear lo-.
Dust crystals are shown to support nonlinear kink-shaped supersonic solitary excitations [1], related to longitudinal dust grain displacement, as well as modulated envelope localized modes associated with either longitudinal [2] or transverse [3, 4] oscillations. The effect of mode- as well as layer-coupling is consid-ered.
Localized excitations have been at the heart of developments of nonlinear dynamics (and especially of nonlinear complex systems) during the past few decades. Their names may vary (solitons, instantons, kinks, breathers, vortices, vortex download now author: ricardo carretero-gonzález.
Recently, attention has been focused on the dynamics of large amplitudes of localized excitation in dna, in which the double helix fluctuates between an open.
Excitation thresholds for nonlinear localized modes on lattices.
The study of integrable property and exact solution of nonlinear evolution equations is of fundamental importance in the discipline of mathematical physics.
Localized modes (ilms) or solitons are investigated in periodic arrays of coupled nonlinear resonators under simultaneous external and parametric excitations.
Localized excitations in nonlinear complex systems - current state of the art and future perspectives, carretero-gonzalez, ricardo; cuevas-maraver, jesus;.
Abstract we consider the discrete klein–gordon equation for magnetic metama- terials derived by lazarides, eleftheriou, and tsironis phys rev lett 97:157406.
Novel variable separation solutions and exotic localized excitations via the etm in nonlinear soliton systems.
The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied sci-ence, as well as engineering, due to their importance in understanding and predicting phenomena arising in nonlinear and complex systems, but also due to their potential for the development and design of novel applications.
In the framework of the dnls equation with nearest-neighbor coupling we discuss the stability of highly localized, “breather-like”, excitations under the influence of thermal fluctuations. Numerical analysis shows that the lifetime of the breather is always finite and in a large parameter region inversely proportional to the noise variance for fixed damping and nonlinearity.
Folded localized excitations in a generalized (2 + 1)-dimensional perturbed.
In the case of onedimensional nonlinear schrddinger (nls) lattice, a localized mode lying below the linear excitation band in the small amplitude limit reduces to the one-soliton solution of the continuum nls equation.
Downloadable (with restrictions)! the nonlinear localized excitations and gap multi-instability phenomena in the array of optical fibers are investigated.
We study a (2 + 1)-dimensional variable-coefficient-coupled partially nonlocal nonlinear schrödinger equation with nonlinearities localized in x and y-directions.
We study localized nonlinear excitations in diffusive hindmarsh-rose neural networks. We show that the hindmarsh-rose model can be reduced to a modified complex ginzburg-landau equation through the application of a perturbation technique. We equally report on the presence of envelop solitons of the nerve impulse in this neural network.
Mar 31, 2020 by means of the semidiscrete multiple-scale method, different types of nonlinear localized excitations are gotten.
We conclude that the presence of nonlinearity favors (inhibits) the propagation of localized (extended) excitations.
The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied science, as well as engineering, due to their.
In classical nonlinear lattices, discrete breathers which are localized nonlinear excitation, generic time periodic and spatially localized solutions of the nonlinear systems [10,11], can play.
Nonlinear localized excitations in discrete systems faustino palmero nonlinear dynamics and statistichal physics of dna, nonlinearity 17, 1-40, 2004).
Feb 24, 2021 individually, in the absence of excitation, each nonlinear oscillator is a in which local interactions and localized endogenous energy sources.
Spin dynamics of soliton-like localized excitations in a discrete ferromagnetic chain with an easy-axis anisotropy and weak exchange interaction is studied. The relation of these excitations and dynamic magnetic solitons in the long-wave approximation is determined, and the dependence of frequency of localized excitations on the exchange interaction parameter for a fixed value of the total.
Oct 11, 1993 introduction models that correspond to discrete nonlinear sys- tems.
As a result we find that the existence of localized excitations can be a generic property of nonlinear hamiltonian lattices in contrast to nonlinear hamiltonian fields. We use recent results that localized excitations in nonlinear hamiltonian lattices can be viewed and described as multiple-frequency excitations.
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