Nonlinear Phenomena in Complex Systems, 2005, Vol.8, No.2, pp.121-133

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2005, Vol.8, No.2, pp.121-133

Periodic Solutions of Matrix Impulsive Differential Equations and their Application.
V.A. Chiricalov

The main purpose of the paper is to consider periodic solutions of impulsive matrix differential equations. In our previous paper [1] some preliminary results have been partially obtained. Necessary and sufficient conditions of stability of the periodic solutions have been proved. Conditions of reducibility of the equivalent vector equation to the equation with constant coefficient have been explained. The Chesary's method for finding periodic solutions of nonlinear equations and application of impulsive equations to the problem of Josephson superconducting junction, driven by periodic -function signal, have been considered.
Key words: impulsive matrix differential equation, periodic solutions, stability conditions

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