A closing scheme for finding almost-invariant sets in open dynamical systems

Gary  Froyland; Philip K.  Pollett; Robyn Margaret Stuart

doi:10.3934/jcd.2014.1.135

A closing scheme for finding almost-invariant sets in open dynamical systems

Gary Froyland, Philip K. Pollett, Robyn Margaret Stuart

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

7 Citationer (Scopus)

Abstract

We explore the concept of metastability or almost-invariance in open dynamical systems. In such systems, the loss of mass through a "hole'' occurs in the presence of metastability. We extend existing techniques for finding almost-invariant sets in closed systems to open systems by introducing a closing operation that has a small impact on the system's metastability.

Originalsprog	Engelsk
Tidsskrift	Journal of Computational Dynamics
Vol/bind	1
Udgave nummer	1
Sider (fra-til)	135 - 162
DOI	https://doi.org/10.3934/jcd.2014.1.135
Status	Udgivet - 2014
Udgivet eksternt	Ja

Adgang til dokumentet

10.3934/jcd.2014.1.135

Citationsformater

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AB - We explore the concept of metastability or almost-invariance in open dynamical systems. In such systems, the loss of mass through a "hole'' occurs in the presence of metastability. We extend existing techniques for finding almost-invariant sets in closed systems to open systems by introducing a closing operation that has a small impact on the system's metastability.

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DO - 10.3934/jcd.2014.1.135

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