2024-03-28T22:14:05Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/789762016-06-07T10:11:59Zcom_10261_2855com_10261_4col_10261_2857
http://hdl.handle.net/10261/78976
83065
Simultaneous stabilization of periodic orbits and fixed points in delay-coupled Lorenz systems
International Physics and Control Society
2012
artículo
Choe, Chol-Ung
Jang, Hyok
Ri, Hyo-Min
Dahms, Thomas
Flunkert, Valentín
Hövel, Philipp
Schöll, Eckehard
2012
We study two delay-coupled Lorenz systems and
demonstrate unified chaos control by noninvasive time-
delayed coupling. Both an unstable periodic orbit and
an unstable fixed point of the system can be stabilized
close to a subcritical Hopf bifurcation. Using a multiple scales method, the systems are reduced to Hopf
normal forms, and an analytical approach for stabilizing a periodic orbit as well as a fixed point of the system
is developed. As a result, the equations for the characteristic exponents are derived in an analytical form, re-
vealing the range of coupling parameters for successful
stabilization. Finally, we illustrate the results with numerical simulations, which show good agreement with
the theory.
Cybernetics and Physics
2012
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