For citation:
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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Russian
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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.
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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
Journal issue:
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