LOTKA-VOLTERRA CUBICDIFFERENTIAL SYSTEMS WITH (1:-2)- SINGULARITY AND INVARIANT AFFINE STRAIGHT LINES OF TWO DIRECTIONS OF TOTAL ALGEBRAIC MULTIPLICITY SIX
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Keywords

differential cubic system
invariant straight line,
Darboux integral.

How to Cite

TURUTA, S. (2019). LOTKA-VOLTERRA CUBICDIFFERENTIAL SYSTEMS WITH (1:-2)- SINGULARITY AND INVARIANT AFFINE STRAIGHT LINES OF TWO DIRECTIONS OF TOTAL ALGEBRAIC MULTIPLICITY SIX. Acta Et Commentationes Exact and Natural Sciences, 2(2), 71-87. https://doi.org/10.36120/2587-3644.v2i2.71-87

Abstract

The Lotka-Volterra cubicdifferential systems with (1:-2)-singularity possessing invariant
straight lines of two direction and total multiplicity six are classified. There are obtained fifteen distinct
classes modulo the affine transformations and time rescaling. The Darboux first integrals are constructed

https://doi.org/10.36120/2587-3644.v2i2.71-87
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