On algebraic differential equations with knotted trajectories

Kh. Ganiev

Research Institute of Applied Mathematics and Cybernetics of Gorky University

Abstract: It is proven that a system of three autonomous differential equations with polynomials (of degree no lower than three) for right sides can have a knotted curve as its solution.

UDC: 517.9

Received: 26.07.1971

 English version: Mathematical Notes, 1972, 11:6, 393–395

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