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Titlebook: Bifurcation Theory of Impulsive Dynamical Systems; Kevin E.M. Church,Xinzhi Liu Book 2021 The Editor(s) (if applicable) and The Author(s),

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樓主
發(fā)表于 2025-3-21 19:10:54 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Bifurcation Theory of Impulsive Dynamical Systems
影響因子2023Kevin E.M. Church,Xinzhi Liu
視頻videohttp://file.papertrans.cn/186/185532/185532.mp4
發(fā)行地址Introduces new framework for nonautonomous dynamical systems.Develops theoretical foundations of impulsive functional differential equations, including linear and nonlinear systems, stability, and inv
學(xué)科分類IFSR International Series in Systems Science and Systems Engineering
圖書封面Titlebook: Bifurcation Theory of Impulsive Dynamical Systems;  Kevin E.M. Church,Xinzhi Liu Book 2021 The Editor(s) (if applicable) and The Author(s),
影響因子.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 l
Pindex Book 2021
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沙發(fā)
發(fā)表于 2025-3-21 21:24:53 | 只看該作者
https://doi.org/10.1007/978-3-030-32090-4This will allow us to take advantage of the Floquet decomposition, with the result being that computation of invariant manifolds has much in common with the same procedure for ordinary differential equations without impulses.
板凳
發(fā)表于 2025-3-22 00:37:05 | 只看該作者
地板
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Book 2021e. 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 app
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發(fā)表于 2025-3-22 10:12:36 | 只看該作者
Bifurcation Theory of Impulsive Dynamical Systems978-3-030-64533-5Series ISSN 1574-0463 Series E-ISSN 2698-5497
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發(fā)表于 2025-3-22 14:40:37 | 只看該作者
Abstraction-Based Control Synthesisl explain how the centre manifold reduction can be adapted to take into account parameters, prove two generic bifurcation patterns and present a general recipe for how one might study smooth local bifurcations in impulsive functional differential equations.
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發(fā)表于 2025-3-22 17:20:22 | 只看該作者
Tables with the Results of Experimentsin time but occurs on a negligibly small time scale. The intuition is that one can ignore the transient small-time intermediate dynamics and consider only the change in state. In this chapter, we explore the consequences of ignoring such small-time dynamics by continuously approximating the impulse effect.
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