1985•International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical SystemsRequires access

Effects of Time-Dependent-Pararameter Variation on the Period-Doubling Route to Chaos.

Raymond Kapral, Paul Mandel

Abstract

A common method for investigating bifurcation points in physical systems consists in slowly changing a control parameter and observing the state of the system as a function of the instantaneous value of the parameter. The main reason for adopting this procedure is it’s convenience: An entire bifurcation diagram can be constructed in a single sweep of the bifurcation parameter. The literature on laser instabilities contains many examples of such studies.1

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Key concepts: Period-doubling bifurcation, Bifurcation, Bifurcation diagram, Saddle-node bifurcation, Control theory (sociology), Mathematics, Function (biology), CHAOS (operating system)