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Amplitude and phase modulation equations are derived.
The effects of the position Amplitudetude of the mand, as well as effects of different end conditions on the vibrations, are determined.
The amplitude and phase modulation equations are presented.
The amplitude and phase modulation equations are derived.
Thus, the amplitude and phase modulation equations are produced in terms of operators.
The equilibrium solutions, the periodic solutions and chaotic solutions of the modulation equations are also investigated.
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This set of modulation equations is studied both analytically and numerically.
When three or more simultaneous resonances exist, the modulation equations cannot be made autononous, in general, and hence one may not be able to solve them except numerically.
When only two simultaneous resonances exist, the modulation equations can be transformed into a system of four real first-order differential equations with constant coefficients whose solution depends on the eigenvalues of a four by four constant coefficient matrix.
Extended Kalman filter is used in the estimation step of proposed method, and generator equations are used to calculate the appropriate voltages for the next modulation period.
These parametric equations are called polar equations.
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