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Lyapunov function method for the analysis of dissipative autonomous dynamic processes

Lyapunov function method for the analysis of dissipative autonomous dynamic processes We suggest a general technique for studying dissipative autonomous dynamic processes with the use of three types of special Lyapunov functions. We obtain sufficient conditions for the dissipativity of an autonomous dynamic process on a compact Euclidean space. The results can be used in the qualitative analysis of systems of population dynamics and chemical kinetics. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Lyapunov function method for the analysis of dissipative autonomous dynamic processes

Shestakov, A.; Druzhinina, O.
Differential Equations , Volume 45 (8) – Oct 23, 2009
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References (20)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266109080059
Publisher site
See Article on Publisher Site

Abstract

We suggest a general technique for studying dissipative autonomous dynamic processes with the use of three types of special Lyapunov functions. We obtain sufficient conditions for the dissipativity of an autonomous dynamic process on a compact Euclidean space. The results can be used in the qualitative analysis of systems of population dynamics and chemical kinetics.

Journal

Differential Equations – Springer Journals

Published: Oct 23, 2009

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