The field of rational constants of the Volterra derivation

Proceedings of the Estonian Academy of Sciences

Janusz ZieliÅ„ski¹ 

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关键词: commutative algebra;    Volterra derivation;    Lotka–Volterra derivation;    factorizable derivation;    rational constant;    rational first integral;   

DOI  :  10.3176/proc.2014.2.03

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

We describe the field of rational constants of the four-variable Volterra derivation. Thus, we determine all rational first integrals of its corresponding system of differential equations. Such derivations play a role in population biology, laser physics, and plasma physics. Moreover, they play an important part in the derivation theory itself, since they are factorizable derivations. The problem is also linked to the invariant theory.

【 授权许可】

Unknown