Integrability and stability problems about the Lotka-Volterra system (Q2839697)
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scientific article; zbMATH DE number 6187596
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrability and stability problems about the Lotka-Volterra system |
scientific article; zbMATH DE number 6187596 |
Statements
12 July 2013
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Lotka-Volterra system
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Lyapunov stability
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Runge-Kutta algorithm
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Casimir method
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Integrability and stability problems about the Lotka-Volterra system (English)
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In this paper, a Lotka-Volterra system is studied. The Lyapunov stability is proved for the system. The Poisson geometry of the system under consideration is provided. A numerical integration is presented by means of Lie-Trotter, Kahan and Runge-Kutta 4th-step algorithms.
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