Control of the Coupled Logistic Map

Konferenz: NDES 2012 - Nonlinear Dynamics of Electronic Systems
11.07.2012 - 13.07.2012 in Wolfenbüttel, Germany

Tagungsband: NDES 2012

Seiten: 4Sprache: EnglischTyp: 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.