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Erschienen in:
Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms Kapitel lesen Erstes Kapitel lesen

2021 | OriginalPaper | Buchkapitel

11. The Dynamics of Periodic Switching Systems

verfasst von : Jose S. Cánovas

Erschienen in: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics

Verlag: Springer International Publishing

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Abstract

Switching systems have been recently used to model phenomena from Biology, Economy, Physics, etc. They consist in the iteration of a finite number of maps which can be viewed as the dynamics of a class of triangular maps. We make a special emphasis to periodic switching by showing that the dynamics of these systems can be analyzed from associated dynamical systems. Hence, we introduce the basic background of regular enough piecewise monotone maps and then, as an application, we study the dynamics of two periodic models coming from Biology.

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Vorheriges Kapitel Convergence Rate of Random Attractors for 2D Navier–Stokes Equation Towards the Deterministic Singleton Attractor
Nächstes Kapitel Co-jumps and Markov Counting Systems in Random Environments
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1
With the exception of a fixed point or a two periodic orbit at the interval endpoints.
 
2
Dinaburg [13] gave simultaneously a Bowen like definition for continuous maps on a compact metric space.
 
3
Since Smale’s work (see [36]), horseshoes have been in the core of chaotic dynamics, describing what we could call random deterministic systems.
 
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Metadaten
Titel
The Dynamics of Periodic Switching Systems
verfasst von
Jose S. Cánovas
Copyright-Jahr
2021
Buch
Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics

Print ISBN: 978-3-030-50301-7

Electronic ISBN: 978-3-030-50302-4

Copyright-Jahr: 2021

DOI
https://doi.org/10.1007/978-3-030-50302-4_11