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Proceedings Paper

Parametric entrainment of systems governed by ordinary differential equations
Author(s): Russel D. Shermer; Mark L. Spano
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Paper Abstract

For systems represented by ordinary differential equations of a general form, it is shown that time dependencies for the parameters may be determined to generate new behaviors. These new dynamics are mathematical solutions determined using a second set of equations. Under many circumstances the system's new driven behavior entrains to these solutions in a stable manner. The method is explored via numerical simulation of a Duffing-like oscillator system. The results of these computer studies are then applied to an experimental system. A model consisting of a system of ordinary differential equations is determined for the experiment. The parametric driving term is computed and then applied. The response of the system is compared to the response from a sinusoidal driving force of similar characteristics and the results discussed.

Paper Details

Date Published: 1 March 1994
PDF: 5 pages
Proc. SPIE 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization, (1 March 1994); doi: 10.1117/12.167514
Show Author Affiliations
Russel D. Shermer, Naval Surface Warfare Ctr. (United States)
Mark L. Spano, Naval Surface Warfare Ctr. (United States)

Published in SPIE Proceedings Vol. 2037:
Chaos/Nonlinear Dynamics: Methods and Commercialization
Helena S. Wisniewski, Editor(s)

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