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Mode analysis of a multimode ladder oscillator

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2 Author(s)

An arbitrary number of van der Pol oscillators mutually coupled by inductances or capacitances (i.e., a low-pass and a high-pass ladder oscillator) is investigated using the equivalent linearization technique of Kryloff and Bogoliuboff. The network is almost linear and is described by a nonlinear vector differential equation. The active element is assumed to be a cubic nonlinear shunt conductance. It is demonstrated that 1) nonresonant simultaneous double-mode oscillation can be stably excited in a ladder oscillator in which both end cells are opened, 2) but it is not excited in a ladder oscillator in which both end cells are grounded, 3) and more than three modes can not be excited in any ladder oscillator. Experiments confirm that nonresonant simultaneous double-mode oscillation can be excited stably in a ladder oscillator in which both end cells are opened. The experimental amplitudes and oscillating frequencies agree well with theoretical values.

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Circuits and Systems, IEEE Transactions on  (Volume:23 ,  Issue: 2 )