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

作者: GERD847    時間: 2025-3-21 19:10
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作者: Anecdote    時間: 2025-3-21 21:24
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.
作者: parasite    時間: 2025-3-22 00:37

作者: Inoperable    時間: 2025-3-22 06:07
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
作者: G-spot    時間: 2025-3-22 10:12
Bifurcation Theory of Impulsive Dynamical Systems978-3-030-64533-5Series ISSN 1574-0463 Series E-ISSN 2698-5497
作者: accordance    時間: 2025-3-22 14:40
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.
作者: 投票    時間: 2025-3-22 17:20
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.
作者: amnesia    時間: 2025-3-22 22:28

作者: 鑲嵌細工    時間: 2025-3-23 01:23

作者: STIT    時間: 2025-3-23 08:51

作者: 跳脫衣舞的人    時間: 2025-3-23 12:20
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.
作者: 美色花錢    時間: 2025-3-23 17:44
https://doi.org/10.1007/978-3-030-32090-4the reference bounded solution has exponential trichotomy, but when we move into computational aspects we will assume that the dynamics are periodic. This will allow us to take advantage of the Floquet decomposition, with the result being that computation of invariant manifolds has much in common wi
作者: 平息    時間: 2025-3-23 19:12

作者: 增長    時間: 2025-3-23 23:50

作者: craven    時間: 2025-3-24 04:18

作者: 埋葬    時間: 2025-3-24 09:25
https://doi.org/10.1007/978-3-030-64533-5impulsive dynamical systems; impulsive functional differential equations; impulsive differential equat
作者: Type-1-Diabetes    時間: 2025-3-24 14:19
978-3-030-64535-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
作者: bronchodilator    時間: 2025-3-24 18:35
https://doi.org/10.1007/3-540-16437-5In this chapter, we cover existence and uniqueness of solutions, evolutions families, phase-space decompositions and the variation-of-constants formula for linear impulsive functional differential equations.
作者: conifer    時間: 2025-3-24 19:31
Inner solutions of linear interval systems,In this chapter, we develop theoretical and computational aspects of Floquet theory for periodic linear systems.
作者: 極少    時間: 2025-3-25 00:21
Studies in Computational IntelligenceThis chapter contains a proof of the principle of linearized stability for nonlinear impulsive functional differential equations, in addition to some auxiliary results on smooth dependence on initial conditions.
作者: Esalate    時間: 2025-3-25 05:05
Studies in Computational IntelligenceThis chapter contains proofs of the existence, smoothness, and reduction principle of centre manifolds for impulsive functional differential equations. We also derive the abstract dynamics equations on the centre manifold.
作者: Binge-Drinking    時間: 2025-3-25 09:14
Pierre-Jean Meyer,Alex Devonport,Murat ArcakA follow-up to Chapter ., this chapter is devoted to computational aspects of centre manifold theory. This includes a concrete representation of the centre manifold in Euclidean space, Taylor expansions, and an explicit ordinary impulsive differential equation for the dynamics on the manifold.
作者: 裝勇敢地做    時間: 2025-3-25 14:19

作者: 乏味    時間: 2025-3-25 19:14

作者: 怕失去錢    時間: 2025-3-25 21:54

作者: accomplishment    時間: 2025-3-26 02:19
Relations and Operations over IVIFSs,In this chapter we will discuss some methods of proving stability for nonlinear systems.
作者: Inflammation    時間: 2025-3-26 07:52
Aggregation in Interval-Valued SettingsThis chapter presents analogues of the classical codimension-one bifurcations of flows and maps. Specifically, this includes analogues of the fold (saddle-node), period-doubling, and Hopf (Neimark-Sacker) bifurcation. Additionally, we present the transcritical and pitchfork bifurcations.
作者: 表否定    時間: 2025-3-26 11:16
Studies in Fuzziness and Soft ComputingIn this chapter we will be interested in bifurcations that result from two “non-smooth” phenomena:
作者: Pelago    時間: 2025-3-26 15:07

作者: Ardent    時間: 2025-3-26 16:48
Linear Periodic SystemsIn this chapter, we develop theoretical and computational aspects of Floquet theory for periodic linear systems.
作者: 溺愛    時間: 2025-3-27 00:35
Nonlinear Systems and StabilityThis chapter contains a proof of the principle of linearized stability for nonlinear impulsive functional differential equations, in addition to some auxiliary results on smooth dependence on initial conditions.
作者: 品嘗你的人    時間: 2025-3-27 01:24

作者: 模范    時間: 2025-3-27 05:53
Computational Aspects of Centre ManifoldsA follow-up to Chapter ., this chapter is devoted to computational aspects of centre manifold theory. This includes a concrete representation of the centre manifold in Euclidean space, Taylor expansions, and an explicit ordinary impulsive differential equation for the dynamics on the manifold.
作者: floodgate    時間: 2025-3-27 12:40
Hyperbolicity and the Classical Hierarchy of Invariant ManifoldsWe discuss the existence and smoothness of unstable, stable and centre-stable manifolds, thereby establishing the classical hierarchy of invariant manifolds for impulsive functional differential equations.
作者: LIMN    時間: 2025-3-27 16:32

作者: 夾死提手勢    時間: 2025-3-27 18:01

作者: Myocyte    時間: 2025-3-27 21:56

作者: MAIZE    時間: 2025-3-28 05:21
BifurcationsThis chapter presents analogues of the classical codimension-one bifurcations of flows and maps. Specifically, this includes analogues of the fold (saddle-node), period-doubling, and Hopf (Neimark-Sacker) bifurcation. Additionally, we present the transcritical and pitchfork bifurcations.
作者: badinage    時間: 2025-3-28 06:34

作者: 淘氣    時間: 2025-3-28 11:29
Introductionocesses, these bursts of activity are sometimes intrinsic to the dynamics. For example, the Hodgkin–Huxley model [.] is a nonlinear ordinary differential equation that describes the propagation of action potentials of neurons; here, the bursts of activity correspond to the action potentials and are
作者: GEAR    時間: 2025-3-28 17:44
Smooth Bifurcationsl 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.
作者: observatory    時間: 2025-3-28 19:03

作者: 臭了生氣    時間: 2025-3-28 23:44
Continuous Approximationin 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
作者: 珊瑚    時間: 2025-3-29 04:39
Book 2021tion 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
作者: 厭倦嗎你    時間: 2025-3-29 09:28

作者: 集合    時間: 2025-3-29 14:16

作者: Hyperalgesia    時間: 2025-3-29 18:38

作者: 無節(jié)奏    時間: 2025-3-29 20:26
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