Some General Properties of Magnetic Amplifiers

Manley, J. M.

doi:10.1109/jrproc.1951.231835

Cited by 12 publications

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The impedance matrix of the perturbing element on the right side is, to second order: Zu = -R( 1 -,6!~) Z,a = R~n Z, 5 Also to second order, the circuit equations are LI + _b_ (1 + _!_ dp,) and a phase angle 1r /2. In a global fashion, this solution gives the full sweep of the behavior of the Van der Pol equation, subject only to the restriction that the perturbations remain pertyrbations, i.e., that too large values of the initial 1° be avoided.…”

Section: Examplesmentioning

confidence: 99%

The Transient Behavior of Nonlinear Systems

Clauser

1960

IRE Trans. Circuit Theory

View full text Add to dashboard Cite

particles are so large that gain fluctuations from their discreteness is not appreciable.It is to be remarked that because of inclusion of fluctuation effects, the quantum model is more complete than the classical nonlinear circuit. The idealized reactor is noise-free because its response is a single valued function of stimulus. The noise sources inherently associated with any physical reactor must be evaluated from the departure from the ideal. These departures include the dissipative effects which any real inductor or capacitor exhibits. The low-noise performance of the back-biased semiconductor junction used as a nonlinear capacitor arises from the relatively small dissipation of energy.The final difference which we wish to mention is perhaps the most puzzling of all. This is that the idealized reactor is described by nonlinear equations while the analogous quantum mechanical system is analyzed by linear operations. It is true that we do not solve for the same quantities in both cases. In the reactor, we calculate relations between current, voltage, charge, and flux linkage. In the maser, Schroedinger and Heisenberg's methods actually evaluate probability density functions from which only average values of observable quantities can be obtained. But the calculations are linear, and for large systems the average values furnish an adequate description.

show abstract

Section: Examplesmentioning

confidence: 99%