Bifurcation Theory of Impulsive Dynamical Systems - Couverture rigide
Livre 21 sur 21: IFSR International Series in Systems Science and Systems Engineering
Synopsis
Impulsive functional differential equations.- Preliminaries.- General linear systems.- Linear periodic systems.- Nonlinear systems and stability.- Invariant manifold theory.- Smooth bifurcations.- Finite-dimensional ordinary impulsive differential equations.- Preliminaries.- Linear systems.- Stability for nonlinear systems.- Invariant manifold theory.- Bifurcations.- Special topics and applications.- Continuous approximation.- Non-smooth bifurcations.- Bifurcations in models from mathematical epidemiology and ecology.
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Bifurcation Theory of Impulsive Dynamical Systems (IFSR International Series in Systems Science and Systems Engineering, 34)
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Bifurcation Theory of Impulsive Dynamical Systems
Edité par
Springer International Publishing Mrz 2021, 2021
ISBN 10 : 3030645320
ISBN 13 : 9783030645328
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are unique to impulsive dynamical systems. The monograph is split into four distinct parts, independently addressing both finite and infinite-dimensional dynamical systems before discussing their applications. The primary contributions are a rigorous nonautonomous dynamical systems framework and analysis of nonlinear systems, stability, and invariant manifold theory. Special attention is paid to the centre manifold and associated reduction principle, as these are essential to the local bifurcation theory. Specifying to periodic systems, the Floquet theory is extended to impulsive functional differential equations, and this permits an exploration of the impulsive analogues of saddle-node, transcritical, pitchfork and Hopf bifurcations.Readers will learn how techniques of classical bifurcation theory extend to impulsive functional differential equations and, as a special case, impulsive differential equations without delays. They will learn about stability for fixed points, periodic orbits and complete bounded trajectories, and how the linearization of the dynamical system allows for a suitable definition of hyperbolicity. They will see how to complete a centre manifold reduction and analyze a bifurcation at a nonhyperbolic steady state. 408 pp. Englisch. N° de réf. du vendeur 9783030645328
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Bifurcation Theory of Impulsive Dynamical Systems
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Springer International Publishing, 2021
ISBN 10 : 3030645320
ISBN 13 : 9783030645328
Neuf
Couverture rigide
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduces new framework for nonautonomous dynamical systemsDevelops theoretical foundations of impulsive functional differential equations, including linear and nonlinear systems, stability, and invariant manifold theory. N° de réf. du vendeur 457046589
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Bifurcation Theory of Impulsive Dynamical Systems
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Etat : New. pp. 405 1st Edition NO-PA16APR2015-KAP. N° de réf. du vendeur 26390048381
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Bifurcation Theory of Impulsive Dynamical Systems
Edité par
Springer International Publishing, 2021
ISBN 10 : 3030645320
ISBN 13 : 9783030645328
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Couverture rigide
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Etat : Hervorragend. Zustand: Hervorragend | Seiten: 408 | Sprache: Englisch | Produktart: Bücher | This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are unique to impulsive dynamical systems. The monograph is split into four distinct parts, independently addressing both finite and infinite-dimensional dynamical systems before discussing their applications. The primary contributions are a rigorous nonautonomous dynamical systems framework and analysis of nonlinear systems, stability, and invariant manifold theory. Special attention is paid to the centre manifold and associated reduction principle, as these are essential to the local bifurcation theory. Specifying to periodic systems, the Floquet theory is extended to impulsive functional differential equations, and this permits an exploration of the impulsive analogues of saddle-node, transcritical, pitchfork and Hopf bifurcations.Readers will learn how techniques of classical bifurcation theory extend to impulsive functional differential equations and, as a special case, impulsive differential equations without delays. They will learn about stability for fixed points, periodic orbits and complete bounded trajectories, and how the linearization of the dynamical system allows for a suitable definition of hyperbolicity. They will see how to complete a centre manifold reduction and analyze a bifurcation at a nonhyperbolic steady state. N° de réf. du vendeur 37295517/1
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Bifurcation Theory of Impulsive Dynamical Systems
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Bifurcation Theory of Impulsive Dynamical Systems
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Etat : New. PRINT ON DEMAND pp. 405. N° de réf. du vendeur 18390048375
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Bifurcation Theory of Impulsive Dynamical Systems
Edité par
Springer International Publishing, 2021
ISBN 10 : 3030645320
ISBN 13 : 9783030645328
Neuf
Couverture rigide
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Buch. Etat : Neu. Bifurcation Theory of Impulsive Dynamical Systems | Xinzhi Liu (u. a.) | Buch | xvii | Englisch | 2021 | Springer International Publishing | EAN 9783030645328 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 119127139
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Bifurcation Theory of Impulsive Dynamical Systems
ISBN 10 : 3030645320
ISBN 13 : 9783030645328
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. Neuware -This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, but also some non-smooth bifurcation phenomena that are unique to impulsive dynamical systems. The monograph is split into four distinct parts, independently addressing both finite and infinite-dimensional dynamical systems before discussing their applications. The primary contributions are a rigorous nonautonomous dynamical systems framework and analysis of nonlinear systems, stability, and invariant manifold theory. Special attention is paid to the centre manifold and associated reduction principle, as these are essential to the local bifurcation theory. Specifying to periodic systems, the Floquet theory is extended to impulsive functional differential equations, and this permits an exploration of the impulsive analogues of saddle-node, transcritical, pitchfork and Hopf bifurcations.Readers will learn how techniques of classical bifurcation theory extend to impulsive functional differential equations and, as a special case, impulsive differential equations without delays. They will learn about stability for fixed points, periodic orbits and complete bounded trajectories, and how the linearization of the dynamical system allows for a suitable definition of hyperbolicity. They will see how to complete a centre manifold reduction and analyze a bifurcation at a nonhyperbolic steady state.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 408 pp. Englisch. N° de réf. du vendeur 9783030645328
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