Nonlinear Coherent Structures in Physics and Biology: Proceedings of the 7th Interdisciplinary Workshop Held at Dijon, France, 4–6 June 1991

G. M. Wysin, F. G. Mertens (auth.), M. Remoissenet, M. Peyrand (eds.)3540548904, 9783540548904, 0387548904

Nature provides many examples of coherent nonlinear structures and waves, and these have been observed and studied in various fields ranging from fluids and plasmas through solid-state physics to chemistry and biology. These proceedings reflect the remarkable process in understanding and modeling nonlinear phenomena in various systems that has recently been made.Experimental, numerical, and theoretical activities interact in various studies that are presented according to the following classification: magnetic and optical systems, biosystems and molecular systems, lattice excitations and localized modes, two-dimensional structures, theoretical physics, and mathematical methods. The book addresses researchers and graduate students from biology, engineering, mathematics, and physics.

---

Table of contents :
Equations of motion for vortices in 2-D easy-plane magnets….Pages 1-14
Central peak signatures from vortices in 2D easy-plane antiferromagnets….Pages 15-22
Free vortices in the quasi-two dimensional XY antiferromagnet BaNl2(PO 4 ) 2 ?….Pages 23-29
The electric resistivity of a magnetic semiconductor with easy-axis of anisotropy populated by magnon solitons….Pages 30-35
Thermodynamics of quantum spin chains….Pages 36-43
Dissipative superluminous Brillouin solitons in an optical-fiber ring cavity….Pages 44-51
Polarisation fluctuations in nonlinear optical fibres….Pages 52-59
Stochastic dynamics of spatial solitons on the periodic interface of two nonlinear media….Pages 60-68
Conversion of ultrashort optical solitons in the fibre-optical loop….Pages 69-76
Dynamics of breather modes in a nonlinear “helicoidal” model of DNA….Pages 77-86
Equilibrium and nonequilibrium statistical mechanics of a nonlinear model of DNA….Pages 87-94
A simple model of DNA dynamics….Pages 95-100
Anomalous vibrational modes in acetanilide: a F.D.S. incoherent inelastic neutron scattering study….Pages 101-109
Nonlinear excitations in a quantum dimer….Pages 110-117
Kinks in disordered conjugated polymers….Pages 118-125
A discrete selftrapping equation model for Scheibe aggregates….Pages 126-132
Computer simulation of cardiac arrhythmias and of defibrillating electric shocks. Effects of antiarrhythmic drugs….Pages 133-140
Numerical studies of solitons on lattices….Pages 141-150
A symplectic solder for lattice equations….Pages 151-158
Solitary wave solutions to the discrete nonlinear Schrödinger equation….Pages 159-167
Asymptotic bi-soliton in diatomic chains….Pages 168-178
Nonlinear dynamics of localized structures and proton transfer in a hydrogen-bonded chain model including dipole interactions….Pages 179-186
Resonant states in the propagation of waves in a periodic, non-linear medium….Pages 187-194
GAP solitons in 1D asymmetric physical systems….Pages 195-202
Evidence of energy diffusion in pure anharmonic disordered chains….Pages 203-208
A numerical venture into the menagerie of coherent structures of a generalized Boussinesq equation….Pages 209-216
Self-organization and nonlinear dynamics with spatially coherent structures….Pages 217-226
Modulational instability and two-dimensional dynamical structures….Pages 227-233
Competitive interactions and 2-D structures at finite temperatures….Pages 234-241
Interactions of solitons in (2+1) dimensions….Pages 242-249
Spiral waves in excitable media….Pages 250-257
Kadomtsev-Petviashvili and (2+1)-dimensional burgers equations in the Bénard problem….Pages 258-266
Non-linearity and coherence in models of superconductivity….Pages 267-276
Chaotic polaronic and bipolaronic states in coupled electron-phonon systems….Pages 277-283
Chaotic motion of solitons in the PDE model of long Josephson junctions….Pages 284-291
Nonlinear structure of phase motion from the study of differential equations near resonant tori….Pages 292-301
Noise induced bifurcations in simple nonlinear models….Pages 302-309
Coherent behaviour of single degrees of freedom in an order-to-chaos transition….Pages 310-317
Dissipation in Quantum Field Theory….Pages 318-325
Coherence and Quantum Groups….Pages 326-331
Exact periodic solutions for a class of multispeed discrete Boltzmann models….Pages 332-339
Collective coordinates by a variational approach: Problems for sine Gordon and ϕ 4 models….Pages 341-350
Exact solution of the perturbed sine-Gordon breather problem….Pages 351-358
Numerical results concerning the generalized Zakharov system….Pages 359-366
Resonances in nonlinear Klein-Gordon kink scattering by impurities….Pages 367-374
Resonant kink-impurity interactions….Pages 375-382
Localized self-similar structures for a coupled nls equation: An approximate analysis….Pages 383-390
Searching for solitons with a direct binary operator method….Pages 391-397
The inverse problem of dynamics for the nonlinear Klein-Gordon equation. Pulsons and bubbles in the models with logarithmic nonlinearities….Pages 398-398