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

Gary Froyland | Zendy; P. K. Pollett | Zendy; Robyn M. Stuart | Zendy

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

Author(s) -

Gary Froyland,

P. K. Pollett,

Robyn M. Stuart

Publication year - 2014

Publication title -

journal of computational dynamics

Language(s) - English

Resource type - Journals

eISSN - 2158-2505

pISSN - 2158-2491

DOI - 10.3934/jcd.2014.1.135

Subject(s) - metastability , invariant (physics) , closing (real estate) , dynamical systems theory , invariant mass , mathematics , open set , computer science , pure mathematics , statistical physics , physics , mathematical physics , quantum mechanics , political science , law

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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