Particular integrals of systems of ordinary differential equations

V. N. Gorbuzov   ; V. Yu. Tyshchenko

Sbornik. Mathematics, Tome 75 (1993) no. 2, pp. 353-369

Résumé

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.

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