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This article is cited in 8 scientific papers (total in 8 papers)
Particular integrals of systems of ordinary differential equations
V. N. Gorbuzov, V. Yu. Tyshchenko
Abstract:
For systems of ordinary differential equations, the concept of particular integral is extended, enabling one to find several approaches to constructing the first integral and the last Jacobi multiplier.
Methods are developed for distinguishing a center and focus, and for finding limit cycles of systems having particular algebraic integrals, taking their weight into account, and of systems having conditional particular integrals.
Received: 20.10.1990
Citation:
V. N. Gorbuzov, V. Yu. Tyshchenko, “Particular integrals of systems of ordinary differential equations”, Mat. Sb., 183:3 (1992), 76–94; Russian Acad. Sci. Sb. Math., 75:2 (1993), 353–369
Linking options:
https://www.mathnet.ru/eng/sm1038https://doi.org/10.1070/SM1993v075n02ABEH003389 https://www.mathnet.ru/eng/sm/v183/i3/p76
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Abstract page: | 831 | Russian version PDF: | 663 | English version PDF: | 14 | References: | 53 | First page: | 1 |
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