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Orbital stability of periodic solutions of autonomous systems with impulse effect. (English) Zbl 0669.34044

Systems of autonomous ordinary differential equations with impulses are considered. The authors assume the existence of a periodic solution and study its orbital stability. They give a sufficient condition involving the variational equation.
Reviewer: A.Bacciotti

MSC:

34C25 Periodic solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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References:

[1] ANDRONOV A. A., J. Exp. Theor. Physics 3 (1933)
[2] ANDRONOV, A. A., WITT, A. A. and HAIKIN, S. E. 1981.Oscillation Theory, 468Moscow: Nauka. in Russian
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[8] DOI: 10.1016/0167-6911(83)90029-4 · Zbl 0529.93050
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