Exactly Solvable Model of a Physical System Exhibiting Universal Chaotic Behavior
- 1 November 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (18), 1295-1298
- https://doi.org/10.1103/physrevlett.49.1295
Abstract
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.Keywords
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