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Tsegelnik V. V. Some analytical properties of solutions of the 3D-dynamical system with square nonlinearity. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 5, pp. 84-88.

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9

Some analytical properties of solutions of the 3D-dynamical system with square nonlinearity

Autors: 
Tsegelnik Vladimir Vladimirovich, Belarusian State University of Informatics and Radioelectronics
Abstract: 

We consider the analytical properties of solutions of the 3D—dynamical system, related with а model of turbulence with spectrally narrow range and model а neuron with complex oscillatory activity. The algorithm of forming of е system exact solutions, expressed in terms of the solutions of the third Painleve’s equation, is offered.

Key words: 
-
Acknowledgments: 
The work was supported by the Ministry of Education of the Republic of Belarus (project 97-3020).
Reference: 
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Received: 
19.04.1998
Accepted: 
05.10.1998
Published: 
25.02.1999
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