Titlebook: Integrability of Nonlinear Systems; Y. Kosmann-Schwarzbach,B. Grammaticos,K. M. Tamizh Conference proceedings 1997 Springer-Verlag Berlin

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書目名稱Integrability of Nonlinear Systems影響因子(影響力)




書目名稱Integrability of Nonlinear Systems影響因子(影響力)學(xué)科排名




書目名稱Integrability of Nonlinear Systems網(wǎng)絡(luò)公開度




書目名稱Integrability of Nonlinear Systems網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Integrability of Nonlinear Systems被引頻次




書目名稱Integrability of Nonlinear Systems被引頻次學(xué)科排名




書目名稱Integrability of Nonlinear Systems年度引用




書目名稱Integrability of Nonlinear Systems年度引用學(xué)科排名




書目名稱Integrability of Nonlinear Systems讀者反饋




書目名稱Integrability of Nonlinear Systems讀者反饋學(xué)科排名

雕鏤

,Integrability — and how to detect it, by “integrability”. The integrability detector on which this whole course in based is the “Painlevé method” which links the integrable character of a (differential) system to the singularity structure of its solutions. Recent results on integrable discrete systems are also discussed here. They are,

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Introduction to the Hirota bilinear method,scuss in detail how this works for equations in the Korteweg-de Vries class. We also show how Hirota’s method can be used to search for new integrable evolution equations and list the results that have been obtained before for the mKdV/sG and nlS classes.

integrated

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Bifurcations, chaos, controlling and synchronization of certain nonlinear oscillators, of damped and driven type. By taking a representative set of examples such as the Duffing, Bonhoeffer-van der Pol and MLC circuit oscillators, we briefly explain the various bifurcations and chaos phenomena associated with these systems. We use numerical and analytical as well as analog simulation

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Quantum and classical integrable systems,derlying hidden symmetry algebra. (In typical applications the latter is either the universal enveloping algebra of an affine Lie algebra or its q-deformation.) A similar relation also holds in the classical case. We discuss different guises of this very important relation and its implication for th

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Conference proceedings 1997 Many mathematical aspects of nonlinear systems, both continuous and discrete, are analyzed here with particular emphasis on the domains of inverse-scattering techniques, singularity analysis, the bilinear formalism, chaos in nonlinear oscillators, Lie-algebraic and group-theoretical methods, classi

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