Fluctuation phenomena : disorder and nonlinearity : proceedings of the international workshop, San Lorenzo de El Escorial, Madrid, Spain, 26-30 September 1994 /
This book addresses the issues of nonlinearity and disorder. It covers mathematical and numerical techniques as well as applications of nonlinearity and disorder. The analysis of continuous and discrete systems is also shown.
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Corporate Authors: | ; |
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Group Author: | ; ; |
Published: |
World Scientific Pub. Co.,
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Publisher Address: | Singapore ; River Edge, N.J. : |
Publication Dates: | 1995. |
Literature type: | eBook |
Language: | English |
Subjects: | |
Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/2647#t=toc |
Summary: |
This book addresses the issues of nonlinearity and disorder. It covers mathematical and numerical techniques as well as applications of nonlinearity and disorder. The analysis of continuous and discrete systems is also shown. |
Carrier Form: | 1 online resource (xv,426pages) : illustrations |
Bibliography: | Includes bibliographical references. |
ISBN: | 9789814503877 |
CLC: | O42-532 |
Contents: |
Mathematical studies and chaos. Fractal dimension as an eigen characteristic of the waveinteraction process / S. A. Bulgakov -- Motion of curves and surfaces / K. Nakayama and M. Wadati -- Diffusion for Hamiltonian maps with frequency modulation / G. Turchetti, A. Bazzani and R. Cesari -- Some symmetries of a porous medium equation with absorption / M. L. Gandarias -- mKP equation and the double singular manifold / P. R. Gordon and P. G. Estevez -- Moment theory and the two-dimensional Schrodinger equation / V. M. Perez-Garcia, M. A. Porras and L. Vazquez -- Chaotic attractor with macroscopic "holes" / E. del Rio -- Chaotic behaviour in a parametrically driven reduction of a perturbed Burgers-Korteweg-de Vries equation / M. A. F. Sanjuan -- Stochastic dynamics. Linear response theory and thermodynamics / M. Bianucci ... [et al.] -- Blow-up and thermal fluctuations in the nonlinear Schrodinger equation / P. L. Christiansen ... [et al.] -- Nonlinearity and white noise / M. De Faria and L. Streit -- Quantum dissipation in non homogeneous environments / F. Illuminati, M. Patriarca and P. Sodano -- Analytical and numerical solutions of the forced Burgers equation / S. De Lillo, P. Delsanto and M. Scalerandi -- Some aspects of the escape problem for systems driven by dichotomous noise / F. Javier de la Rubia, J. Olarrea and J. M. R. Parrondo -- Nonequilibrium phase transitions and external noise / J. M. Sancho, P. Luque and J. Garcia-Ojalvo -- Numerical schemes. Parallel numerical solution process of a two dimensional time dependent nonlinear partial differential equation / I. Martin, F. Tirado and L. Vazquez -- Conservative numerical schemes for Euler-Lagrange equations / S. Jimenez -- A self-adaptive approach to the parallel simulation of the one dimensional nonlinear Schrodinger equation / I. Martin ... [et al.] -- Biological systems. Unsupervised learning in networks with node parameters / J. A. Dente and R. Vilela-Mendes -- Some connections between neurophysiology and optical computing based on the theory of complexity / J. A. Martin-Pereda and A. Gonzalez-Marcos -- Stationary states of coupled bistable elements / R. S. MacKay and J. A. Sepulchre -- Biomolecular dynamics. Dynamical disorder in a model of base pair motion in DNA / M. A. Collins and F. Zhang -- Thermal effects in nonlinear structures such as the Davydov soliton: The Brownian motion approach and the Gibbs approach / V. M. Kenkre -- Modelling local denaturation in DNA / V. Muto -- Nonlinear energy localization in a disordered system. Application to DNA melting / M. Peyrard, T. Dauxois and K. Forinash. Fluid dynamics and plasmas. An integral equation approach to internal solitary waves / W. A. B. Evans -- Pinning effects in pattern formation / C. Perez-Garcia ... [et al.] -- On fluctuation induced nonlinear transport in plasmas / K. H. Spatschek and Th. Eickermann -- Solitons and solitonic wave trains in dissipative flows / M. G. Velarde -- Josephson junctions and Sine-Gordon solitons. Stability of breathers in inductively coupled long Josephson junctions / T. Skiniotis and T. Bountis -- Experiments with solitons in coupled Josephson transmission lines / A. V. Ustinov -- Josephson junctions ladder: ground state and dynamical properties / J. J. Mazo and F. Falo -- Non-equilibrium phase transitions in the two dimensional driven Sine-Gordon model / A. Sanchez ... [et al.] -- Lattices. Electric field domains in superlattices / L. L. Bonilla -- A new look at nonlinear dynamics in solids with inelastic neutron-scattering spectroscopy / F. Fillaux -- AC dissipative dynamics of the Frenkel-Kontorova model / L. M. Fioria ... [et al.] -- Effect of long-range harmonic interactions on nonlinear dynamics in one-dimensional lattices / Y. Gaididei ... [et al.] -- Statistical mechanics of one-dimensional Sine-lattice model in an external field / S. Homma -- Pulse-envelope solitons on 2-d lattices with in-plane displacements / R. Hub, F. G. Mertens and Y. Gaididei -- Gap solitons in a diatomic chain with quadratic on-site nonlinearities / Yu. S. Kivshar and O. A. Chubykalo -- Nonlinear disordered lattices and effective equation method / V. V. Konotop -- Modulationai instability and localized modes in one and two-dimensiona! lattices / J. M. Bilbault ... [et al.] -- Nonlinear localized modes, vortices and domain walls in ordered and disordered nonlinear lattices / S. Takeno and S. Homma -- Electronic propagation in a nonlinear random binary alloy / G. P. Tsironis and M. I. Molina -- Gap solitons in di- and three-atomic elastic chains: the first steps on the way to quasiperiodicity / O. V. Usatenko, A. S. Kovalev and A. A. Vyalov -- An O(3,1) nonlinear [symbol]-model and the Ablowitz-Ladik hierarchy / V. E. Vekslerchik -- Domain boundaries associated with spontaneous deformations of antiferromagnetic chains / A. M. Kosevich -- Numerical study of breathers in anharmonic chains at the anticontinuum limit / J. L. Marin, S. Aubry and L. M. Floria. Transitions in a generalized Frenkel-Kontorova type model / P. J. Martinez and L. M. Floria -- Phase-nonlinearity interplay in small quantum systems / S. Raghavan, V. M. Kenkre and A. R. Bishop -- The discrete nonlinear Schrodinger equation and its quantum foundation: the Dimer case / D. Vitali, P. Allegrini and P. Grigolini -- Localization and nonlinearity. Polaronic localisation of an electron in a magnetic field / S. Aubry -- Disorder-induced breakdown of soliton and polaron particles / A. R. Bishop ... [et al.] -- Electron in a two dimensional system with point scatterers and magnetic field / S. A. Gredeskul ... [et al.] -- Understanding the mechanisms of length scale competition: the Sine-Gordon soliton case / A. Sanchez, A. R. Bishop and F. Dominguez-Adame -- Dynamics of ionic and orientational defects in hydrogen fluoride and ice / A. V. Savin and A. V. Zolotaryuk -- Solitary waves in polyethylene crystals / F. Zhang and M. A. Collins -- Electron-phonon interaction, localization and polaron formation in ID disordered systems / G. Kopidakis, C. M. Soukoulis and E. N. Economou -- Nonlinear optics. Envelope solitons in media with temporally modulated dispersion / F. Kh. Abdullaev -- Compression and tunnelling of solitons in optical fibers / D. Anderson ... [et al.] -- Nonlinear amplification of solitons in high dispersion fiber transmission systems / I. Gabitov ... [et al.] -- Role of integrability and controllability of optical solitons in fiber communications / A. Hasegawa -- Numerical simulations of the Maxwell-Bloch Laser equations / I. Martin ... [et al.] -- Three-wave soliton morphogenesis in a CW-pumped Brillouin-fiber-ring laser / C. Montes ... [et al.] -- Transmission of solitons generated by direct modulation of laser diodes / L. Pesquera and C. R. Mirasso -- Polarization instabilities in transverse laser patterns / M. San Miguel ... [et al.] -- Pulse compression by wave collapse / S. K. Turitsyn. |