Advance Elements of Optoisolation Circuits by Ofer Aluf

Author:Ofer Aluf
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

We get cubic function of radius (r) variable :

We know so we ignore all improper results. System limit cycle radius must be real and positive number.

The coefficients are real numbers. Every cubic equation with real coefficients has at least one solution r among the real numbers (r > 0); this is a consequence of the intermediate value theorem . We can distinguish several possible cases using determinant ().

Case a: If , then the equation has three distinct real roots.

Case b: If , then the equation has one real root and pair of complex conjugate roots (not the case since ).

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