Rings of constants of generic 4D Lotka-Volterra systems

Janusz Zieliński; Piotr Ossowski

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Displaying similar documents to “Rings of constants of generic 4D Lotka-Volterra systems”

The five-variable Volterra system

Janusz Zieliński (2011)

Open Mathematics

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We give a description of all polynomial constants of the five-variable Volterra derivation, hence of all polynomial first integrals of its corresponding Volterra system of differential equations. The Volterra system plays a significant role in plasma physics and population biology.

Rings of constants of four-variable Lotka-Volterra systems

Janusz Zieliński (2013)

Open Mathematics

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Lotka-Volterra systems appear in population biology, plasma physics, laser physics and derivation theory, among many others. We determine the rings of constants of four-variable Lotka-Volterra derivations with four parameters C 1, C 2, C 3, C 4 ∈ k, where k is a field of characteristic zero. Thus, we give a full description of polynomial first integrals of the respective systems of differential equations.

The constants of the Volterra derivation

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The ring of constants of the Volterra derivation is found. Confirming a conjecture of Zielinski, it is always a polynomial ring.

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A Distance-Based Method for Attribute Reduction in Incomplete Decision Systems

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