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JOURNALS // Modelirovanie i Analiz Informatsionnykh Sistem // Archive

Model. Anal. Inform. Sist., 2008 Volume 15, Number 2, Pages 67–71 (Mi mais101)

Parametric excitation of chaotic oscillations in one second order differential equation with delay

E. P. Kubishkin, A. Yu. Koverga

Yaroslavl State University

Abstract: We study some differential equations with delay that are the models of different electronic devices. We show that the internal resonance is a reason why the regions associated with chaotic oscillations appear in the parametric resonance domain. The scenario of the chaotic oscillations emergence is studied. We calculate Lyapunov exponents and Lyapunov dimension of the chaotic attractor.

UDC: 517.38:62-50

Received: 30.04.2008



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