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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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.

Binge-Drinking

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.

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accomplishment

Relations and Operations over IVIFSs,In this chapter we will discuss some methods of proving stability for nonlinear systems.

Inflammation

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.

表否定

Studies in Fuzziness and Soft ComputingIn this chapter we will be interested in bifurcations that result from two “non-smooth” phenomena:

Pelago

Ardent

Linear Periodic SystemsIn this chapter, we develop theoretical and computational aspects of Floquet theory for periodic linear systems.