| 期刊全稱 | Bifurcation Theory of Impulsive Dynamical Systems | | 影響因子2023 | Kevin E.M. Church,Xinzhi Liu | | 視頻video | http://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 |  | | 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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