9783110335545 - oscillations and resonances: 23/1 (de gruyter series in nonlinear analysis & applications, 23/1) de glebov, sergey g. (20 resultados)

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Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 358 | Sprache: Englisch | Produktart: Bücher | This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transitio…n regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators.

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Editorial: De Gruyter, 2017
Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Editorial: De Gruyter, 2017
Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 358 | Sprache: Englisch | Produktart: Bücher | This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transitio…n regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators.

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Editorial: Walter de Gruyter, 2017
Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Editorial: De Gruyter, 2017
Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Hardback. Condición: New. This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteri…stic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators.

Idioma: Inglés
Editorial: De Gruyter, 2017
Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Editorial: De Gruyter, 2017
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Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get…unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators.

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Editorial: De Gruyter, 2017
Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Hardback. Condición: New. This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteri…stic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators.

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Editorial: De Gruyter, 2017
Serie: De Gruyter Series in Nonlinear Analysis and Applications, Libro 23 de 39. Libro 23 de 39 - De Gruyter Series in Nonlinear Analysis and Applications
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Hardcover. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. S. G. Glebov, Ufa St. Petr. Tech. Univ., Russia O. M. Kiselev, Ufa Sci. Center, Russia N. N. Tarkhanov, Univ. of Potsdam, Germany. This two-volume monograph presents new methods of construct.

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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition reg…ions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators 358 pp. Englisch.

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Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions… and to get unified formulas for the connection of characteristic parameters of approximate solutions.This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms.This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems.Contents Asymptotic expansions and seriesAsymptotic methods for solving nonlinear equationsNonlinear oscillator in potential wellAutoresonances in nonlinear systemsAsymptotics for loss of stabilitySystems of coupled oscillatorsDe Gruyter Mouton, Genthiner Straße 13, 10785 Berlin 358 pp. Englisch.