A model of a simple nonlinear physical system, the driven diode resonator comprised of an oscillator, resistor, inductor, and diode in series, is shown to reduce exactly to a one-dimensional, noninvertible map. With use of a model of the diode which includes the forward bias voltage, reverse recovery time, and junction capacitance, the response of the system is calculated exactly. The solution exhibits the period-doubling route to chaos with universal scaling.

• Received 7 September 1982

DOI:https://doi.org/10.1103/PhysRevLett.49.1295