溺爱
发表于 2025-3-27 00:35:39
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.
品尝你的人
发表于 2025-3-27 01:24:09
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模范
发表于 2025-3-27 05:53:57
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.
floodgate
发表于 2025-3-27 12:40:08
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.
LIMN
发表于 2025-3-27 16:32:01
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夹死提手势
发表于 2025-3-27 18:01:52
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Myocyte
发表于 2025-3-27 21:56:33
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MAIZE
发表于 2025-3-28 05:21:35
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.
badinage
发表于 2025-3-28 06:34:08
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淘气
发表于 2025-3-28 11:29:21
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