Research output: Contribution to journal › Article
Controlling cluster synchronization by adapting the topology. / Lehnert, J.; Hövel, P.; Selivanov, A.; Fradkov, A.; Schöll, E.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 90, No. 4, 2014, p. 1-9.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Controlling cluster synchronization by adapting the topology
AU - Lehnert, J.
AU - Hövel, P.
AU - Selivanov, A.
AU - Fradkov, A.
AU - Schöll, E.
PY - 2014
Y1 - 2014
N2 - © 2014 American Physical Society. We suggest an adaptive control scheme for the control of in-phase and cluster synchronization in delay-coupled networks. Based on the speed-gradient method, our scheme adapts the topology of a network such that the target state is realized. It is robust towards different initial conditions as well as changes in the coupling parameters. The emerging topology is characterized by a delicate interplay of excitatory and inhibitory links leading to the stabilization of the desired cluster state. As a crucial parameter determining this interplay we identify the delay time. Furthermore, we show how to construct networks such that they exhibit not only a given cluster state but also with a given oscillation frequency. We apply our method to coupled Stuart-Landau oscillators, a paradigmatic normal form that naturally arises in an expansion of systems close to a Hopf bifurcation. The successful and robust control of this generic model opens up possible applications in a wide range of sy
AB - © 2014 American Physical Society. We suggest an adaptive control scheme for the control of in-phase and cluster synchronization in delay-coupled networks. Based on the speed-gradient method, our scheme adapts the topology of a network such that the target state is realized. It is robust towards different initial conditions as well as changes in the coupling parameters. The emerging topology is characterized by a delicate interplay of excitatory and inhibitory links leading to the stabilization of the desired cluster state. As a crucial parameter determining this interplay we identify the delay time. Furthermore, we show how to construct networks such that they exhibit not only a given cluster state but also with a given oscillation frequency. We apply our method to coupled Stuart-Landau oscillators, a paradigmatic normal form that naturally arises in an expansion of systems close to a Hopf bifurcation. The successful and robust control of this generic model opens up possible applications in a wide range of sy
U2 - 10.1103/PhysRevE.90.042914
DO - 10.1103/PhysRevE.90.042914
M3 - Article
VL - 90
SP - 1
EP - 9
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 4
ER -
ID: 7036382