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＜電子ブック＞
Instabilities and Nonequilibrium Structures IV / edited by E. Tirapegui, W. Zeller
(Mathematics and Its Applications ; 267)

版	1st ed. 1993.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1993
本文言語	英語
大きさ	X, 374 p : online resource
著者標目	Tirapegui, E editor Zeller, W editor SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Mathematical analysis LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Differential equations LCSH:System theory LCSH:Mathematical physics FREE:Applications of Mathematics FREE:Analysis FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations FREE:Complex Systems FREE:Theoretical, Mathematical and Computational Physics
一般注記	I Statistical Mechanics And Related Topics -- Nonequilibrium Potentials For Period Doubling -- On Soliton Instabilities In 1 + 1 Dimensional Integrable Systems -- A Catastrophic View Of Quasi And Pseudospin Physics -- An Approach To Quantum Dissipation -- Arnold Tongues In A Periodically Perturbed Logistic Oscillator -- Axisymmetric Coherent Vortex States In AC Driven Josephson Junctions Arrays -- Comments On The Topological Organization Of 3D-Flows And 2D-Maps -- Phase Bistability And Squeezing In A Two-Photon Micromaser -- Phase Space Fluctuations In Neutral Fermi Liquids -- Polar Decomposition And Dense Similarity To Unitary Operators -- Site-Exchange Cellular Automata -- Steady State Segregation In Diffusion-Limited Bimolecular Reactions: Effect Of Strong Space Disorder And A Galanin Approach -- Schrödinger’s Cat And Squeezing -- Sequential Iteration For Extremal Automata -- A Stochastic Approach Towards The Study Of The One-Dimensional Landau Ginzgurg Distribution -- Effective Potential For Stochastic Processes -- II Instabilities In Nonequilibrium Systems -- Some Asymptotic Time Behavior For The Real Ginzburg Landau Equations -- Anomalous Transport In Heterogeneous Materials -- Subcritical Traveling Pulses And Pattern Formation In A Film Dragging Experiment -- Empirical Determination Of The Onset Of Convection For A Hard Disk System -- 1D And 2D Nonlinear Evolution Equations For Bénard-Marangoni Convection -- A Generalized Swift-Hohenberg Model For Several Convective Problems -- Two Dimensional Patterns In A Model For The Electrohydrodynamic Instability Of Nematic Liquid Crystals -- Turing Structures In The Presence Of Gradients -- Stability Limits Of Defects And Spatio-Temporal Chaos In Nonequilibrium Media -- The Fragmentation Of A Drop Falling In A Fluid: Geometry And Velocity -- TheRole Of Dispersion In The Generalized Kuramoto Sivashinsky Equation -- Three-Modes Nonlinear Statistical Description For A Global Drift Wave Turbulence -- Spreading Of A Droplet On A Solid Surface And The Hoffman-Tanner Law -- Coriolis Force And Centrifugal Force Induced Flow Instabilities -- Amplitude Equations For Viscoelastic Convective Fluids -- Instabilities Mediated By Line Defects In Three Dimensions Without Unbinding -- Generation Of Side Jets In Forced Axisymmetric Jets -- Parametric Forcing Of Coupled Pendula -- Tracer Dispersion In The Taylor-Couette Instability With Axial Flow -- Critical Velocities And Nucleation Of Vortices In A Model Of Superflow We have classified the articles presented here in two Sections according to their general content. In Part I we have included papers which deal with statistical mechanics, math­ ematical aspects of dynamical systems and sthochastic effects in nonequilibrium systems. Part II is devoted mainly to instabilities and self-organization in extended nonequilibrium systems. The study of partial differential equations by numerical and analytic methods plays a great role here and many works are related to this subject. Most recent developments in this fascinating and rapidly growing area are discussed. PART I STATISTICAL MECHANICS AND RELATED TOPICS NONEQUILIBRIUM POTENTIALS FOR PERIOD DOUBLING R. Graham and A. Hamm Fachbereich Physik, Universitiit Gesamthochschule Essen D4300 Essen 1 Germany ABSTRACT. In this lecture we consider the influence of weak stochastic perturbations on period doubling using nonequilibrium potentials, a concept which is explained in section 1 and formulated for the case of maps in section 2. In section 3 nonequilibrium potentials are considered for the family of quadratic maps (a) at the Feigenbaum 'attractor' with Gaussian noise, (b) for more general non­ Gaussian noise, and (c) for the case of a strange repeller. Our discussion will be informal. A more detailed account of this and related material can be found in our papers [1-3] and in the reviews [4, 5], where further references to related work are also given. 1 HTTP:URL=https://doi.org/10.1007/978-94-011-1906-1

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