Control of the Coupled Logistic Map

Conference: NDES 2012 - Nonlinear Dynamics of Electronic Systems
07/11/2012 - 07/13/2012 at Wolfenbüttel, Germany

Proceedings: NDES 2012

Pages: 4Language: englishTyp: PDF

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Villet, C. M.; Hoffman, L. D. (Department of Applied Mathematics, University of Johannesburg, 2006 Auckland Park, South Africa)

The Ott-Grebogi-Yorke (OGY) method is applied to the two-dimensional coupled logistic map. The theory is extended to study the control of periodic orbits greater than one for a range of values of the two bifurcation parameters. Chaos is then used as a tool for directing trajectories to targets on attractors. To this end, a novel bisection method is developed for the two-dimensional case.