Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

On the example of disappearance of periodic solutions for equations with periodic right-hand side

Author(s):

Yuri Vasilievich Churin

Dept. of differential equation
Faculty of Mathematics and Mechanics
Saint-Petersburg State University

Maxim Yurievich Osipov

Dept. of differential equation
Faculty of Mathematics and Mechanics
Saint-Petersburg State University

Abstract:

A differential equation in complex plane with a complex polynomial as right-hand side is considered. The polynomial coefficients depends on time periodically. In assuming that the period of solution does not equal the period of the right-hand side, the example of disappearance of periodic solution with a disconnected limit set has been constructed.

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