Bifurcation theory of impulsive dynamical systems /
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Author / Creator: | Church, Kevin E. M., author. |
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Imprint: | Cham, Switzerland : Springer, [2021] |
Description: | 1 online resource (xvii, 388 pages) : illustrations (some color). |
Language: | English |
Series: | IFSR international series in systems science and systems engineering, 1574-0463 ; volume 34 IFSR international series on systems science and engineering ; v. 34. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12611466 |
Table of Contents:
- Impulsive functional differential equations. Introduction ; General linear systems ; Linear periodic systems ; Nonlinear systems and stability ; Existence, regularity and invariance of centre manifolds ; Computational aspects of centre manifolds ; Hyperbolicity and the classical hierarchy of invariant manifolds ; Smooth bifurcations
- Finite-dimensional ordinary impulsive differential equations. Preliminaries ; Linear systems ; Stability for nonlinear systems ; Invariant manifold theory ; Bifurcations
- Singluar and nonsmooth phenomena. Continuous approximation ; Non-smooth bifurcations
- Applications. Bifurcations in an impulsively damples or driven pendulum ; The Hutchinson equation with pulse harvesting ; Delayed SIR model with pulse vaccinaton and temporary immunity ; Stage-structured predator-prey system with pulsed birth ; Dynamics of an in-host viral infection model with drug treatment.