This article is cited in 4 papers

Deterministic Systems

Forced resonant oscillations of nonlinear autonomous system in equilibrium neighborhood

V. N. Thai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: Consideration was given to existence and stability of oscillations in the case of resonance where in the neighborhood of equilibrium the autonomous nonlinear system is subjected to periodic perturbations. For each of the probable cases where the equilibrium is surrounded or not by a family of periodic oscillations, established were the sufficient conditions solving the problem. The amplitudes of the resonant oscillations were estimated in terms of the small parameter.

Presented by the member of Editorial Board: L. B. Rapoport

Received: 25.12.2009

 English version: Automation and Remote Control, 2010, 71:11, 2360–2366

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