Nonlinear Equations With Small Parameter
Glebov, Sergey G.; Kiselev, Oleg M.; Tarkhanov, Nikolai N.
ISBN 10: 3110335549 ISBN 13: 9783110335545
Published by De Gruyter, 2017
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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
About the Author:
S. G. Glebov, Ufa St. Petr. Tech. Univ., Russia; O. M. Kiselev, Ufa Sci. Center, Russia; N. N. Tarkhanov, Univ. of Potsdam, Germany.
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Bibliographic Details
Title: Nonlinear Equations With Small Parameter
Publisher: De Gruyter
Publication Date: 2017
Binding: Hardcover
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Oscillations and Resonances
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Condition: 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 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. Seller Inventory # 25897971/12
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Condition: 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 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. Seller Inventory # 25897971/2
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Nonlinear Equations with Small Parameter
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Hardcover. Condition: 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. Seller Inventory # 39174612
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Oscillations and Resonances
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Buch. Condition: Neu. Oscillations and Resonances | Sergey G. Glebov (u. a.) | Buch | ISSN | XVIII | Englisch | 2017 | De Gruyter | EAN 9783110335545 | Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 108806122
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Oscillations and Resonances
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Buch. Condition: 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. Seller Inventory # 9783110335545
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Oscillations and Resonances
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ISBN 10: 3110335549
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Buch. Condition: 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. Seller Inventory # 9783110335545
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Buch. Condition: 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 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 358 pp. Englisch. Seller Inventory # 9783110335545
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