Abstract

STABILITY ANALYSIS AND SYNTHESIS OF STOCHASTIC OSCILLATOR SYSTEMS DESCRIBED BY PERTURBED DUFFING EQUATION

1Eze, E. O. 2 Osu, B.O. & 3Ujumadu, R. N.

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Abstract The stability analysis and synthesis of stochastic oscillator systems described by perturbed Duffing equation is studied in this paper. The Lyapunov stability is a tool for the study of dynamical behaviours (stability) of nonlinear systems. The results show the points where the system is Lyapunov stable and where the point is asymptotically stable. This stability analysis is used to checkmate the volatility of the stock and their prices (fluctuations). We recommend the use of other methods of stability to study the market model. These methods can also be compared with each other to see the best method. Keywords: stability analysis, asymptotic stability, perturbed Duffing equation, Lyapunov stability, asymptotic stability dynamical behaviours.

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