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The constants of the Volterra derivation

100%

Hegedűs P.

Open Mathematics

2012

tom 10

nr 3

969-973

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

The five-variable Volterra system

80%

Zieliński J.

Open Mathematics

2011

tom 9

nr 4

888-896

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

80%

Zieliński J.

Open Mathematics

2013

tom 11

nr 11

1923-1931

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.

Ograniczanie wyników

3 Open Mathematics

2 Zieliński J.

1 Hegedűs P.

1 2013

1 2012

1 2011

Wyniki wyszukiwania

The constants of the Volterra derivation

The five-variable Volterra system

Rings of constants of four-variable Lotka-Volterra systems