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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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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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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
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https://doi.org/10.1007/978-3-030-64533-5impulsive dynamical systems; impulsive functional differential equations; impulsive differential equat
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978-3-030-64535-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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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.
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Inner solutions of linear interval systems,In this chapter, we develop theoretical and computational aspects of Floquet theory for periodic linear systems.
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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.
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