Abstract

Following a brief survey of the theory, especially Eckweiler's work, of nonlinear oscillators satisfying an equation of the form (d2q)/(dt2) + εF(dq/dt) + q=0 a special case is considered for which the stable limit cycles have a definite relation to one another and to the so called Planck oscillator. A nonlinear ``quantum effect'' is discussed and shown to be similar to the harmonic quantum oscillator in some respects. No physical model is proposed for which the equation considered would be a description but various possibilities in this regard are indicated.

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