INTEGRABILITY CONDITIONS FOR LOTKA-VOLTERRA DIFFERENTIAL SYSTEM WITH A BUNDLE OF TWO INVARIANT STRAIGHT LINES
Vol 6 No 2 (2018), Статьи
Vol 6 No 2 (2018)

INTEGRABILITY CONDITIONS FOR LOTKA-VOLTERRA DIFFERENTIAL SYSTEM WITH A BUNDLE OF TWO INVARIANT STRAIGHT LINES

Статьи
https://doi.org/10.36120/2587-3644.v6i2.31-50
Published December 20, 2018
Dumitru COZMA
Universitatea de Stat din Tiraspol
Rodica DRUȚA
Tiraspol State University

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Keywords

Lotka-Volterra differential system
invariant algebraic curves
integrability

How to Cite

COZMA, D., & DRUȚA, R. (2018). INTEGRABILITY CONDITIONS FOR LOTKA-VOLTERRA DIFFERENTIAL SYSTEM WITH A BUNDLE OF TWO INVARIANT STRAIGHT LINES. Acta Et Commentationes Exact and Natural Sciences, 6(2), 31-50. https://doi.org/10.36120/2587-3644.v6i2.31-50
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Abstract

Pentru sistemul diferenţial Lotka-Volterra sunt determinate condițiile de existență a unui
fascicol format din două drepte invariante și o cubică invariantă ireductibilă. Aplicând teoria Darboux de
integrabilitate se studiază integrabilitatea sistemelor obținute cu trei soluții algebrice.

https://doi.org/10.36120/2587-3644.v6i2.31-50
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