Titlebook: Order and Chaos in Nonlinear Physical Systems; Stig Lundqvist,Norman H. March,Mario P. Tosi Book 1988 Springer Science+Business Media New

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Book 1988mics, and social theory are already embraced at the time of writing. The study of chaos-related phenomena has a truly interdisciplinary charac- ter and makes use of important concepts and methods from other disciplines. As one important example, for the description of chaotic structures the branch o

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An Introduction to the Properties of One-Dimensional Difference Equations,e been studied, but usually as a finite-difference approximation to be used as a computational algorithm for the continuous system. In this case the approximation is designed such that the difference equation mirrors the corresponding continuous system. However, it is now realized that simple, but n

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Spectral Transform and Solitons: How to Solve and Investigate Nonlinear Evolution Equations,-de Vries (KdV) equation. This nonlinear partial differential equation had been introduced at the end of the last century to describe wave motion in shallow canals.. Zabusky and Kruskal studied the equation because of its relevance to plasma physics, as well as to the Fermi-Pasta-Ulam puzzle. (for a

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Homogeneous Isothermal Oscillations and Spatiotemporal Organization in Chemical Reactions, Chapter 1. Physicochemical systems exhibiting periodic phenomena, in time and/or space, are numerous.. Some of them have been known for more than a century.. The most spectacular include periodic dissolution of metals in acid, periodic adsorption of gas, catalytic decomposition of hydrogen peroxide

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,Synergetics—From Physics to Biology,ysics. It deals with high-energy or high-power physics. Here we are thinking of the huge machines to create new elementary particles or the powerful stellarators, tokomaks, etc., to generate plasmas at very high temperatures in order to eventually produce fusion.

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Instabilities and Chaos in Lasers: Introduction to Hyperchaos,deterministic chaos in lasers is studied by referring to the invariant properties of low-dimensional attractors, in order to isolate the characteristics of chaos from the random fluctuations due to the coupling with a thermal reservoir. For this purpose, attention is focused on single-mode homogeneo

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Electron and Phonon Instabilities,f a crystal come about because a phonon mode goes soft and makes the original atomic arrangement unstable.. The Peierl’s transition leading to dimerization in one-dimensional atomic chains has a similar origin.. Electrons in n-type semiconductors, together with the ionized donors, constitute a plasm

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Classical Chaos and Quantum Eigenvalues,e classical mechanics itself (i.e., the classical limit ? = 0) is subtle and complicated: the orbits of systems governed by Hamilton’s equations of motion may be predictable (regular) or unpredictable (irregular) depending on subtle details of the form of the Hamiltonian .(. ., . .).. A natural ques