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Necessary and sufficient conditions for the existence of self-oscillations in a finite-dimensional continuous dynamical system

✍ Scribed by O. V. Druzhinina; A. A. Shestakov

Book ID
110206896
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
174 KB
Volume
53
Category
Article
ISSN
1028-3358

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By extending Darboux method to three dimension, we present necessary and sufficient conditions for the existence of periodic orbits in three species Lotka-Volterra systems with the same intrinsic growth rates. Therefore, all the published sufficient or necessary conditions for the existence of perio