Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
Adaptively controlled synchronization of delay-coupled networks. / Hövel, Philipp; Lehnert, Judith; Selivanov, Anton; Fradkov, Alexander; Schöll, Eckehard.
CONTROL OF SELF-ORGANIZING NONLINEAR SYSTEMS. ed. / E Scholl; SHL Klapp; P Hovel. Springer Nature, 2016. p. 47-63 (Understanding Complex Systems; Vol. 0).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
}
TY - CHAP
T1 - Adaptively controlled synchronization of delay-coupled networks
AU - Hövel, Philipp
AU - Lehnert, Judith
AU - Selivanov, Anton
AU - Fradkov, Alexander
AU - Schöll, Eckehard
PY - 2016/1/1
Y1 - 2016/1/1
N2 - We discuss an adaptive control delay-coupled networks of Stuart-Landau oscillators, an expansion of systems close to a Hopf bifurcation. Based on the considered, automated control scheme, the speed-gradient method, the topology of a network adjusts itself by changing the link weights in a self-organized manner such that the target state is realized. We find that the emerging topology of the network is modulated by the coupling delay. If the delay time is a multiple of the system’s eigenperiod, the coupling within a cluster and to neighboring clusters is on average positive (excitatory), while the coupling to clusters with a phase lag close to π is negative (inhibitory). For delay times equal to odd multiples of half of the eigenperiod, we find the opposite: Nodes within one cluster and of neighboring clusters are coupled by inhibitory links, while the coupling to clusters distant in phase state is excitatory. In addition, the control scheme is able to construct networks such that they exhibit not only a given cluster state, but also oscillate with a prescribed frequency. Finally, we demonstrate the efficiency of the speed-gradient method in cases where only part of the network is accessible.
AB - We discuss an adaptive control delay-coupled networks of Stuart-Landau oscillators, an expansion of systems close to a Hopf bifurcation. Based on the considered, automated control scheme, the speed-gradient method, the topology of a network adjusts itself by changing the link weights in a self-organized manner such that the target state is realized. We find that the emerging topology of the network is modulated by the coupling delay. If the delay time is a multiple of the system’s eigenperiod, the coupling within a cluster and to neighboring clusters is on average positive (excitatory), while the coupling to clusters with a phase lag close to π is negative (inhibitory). For delay times equal to odd multiples of half of the eigenperiod, we find the opposite: Nodes within one cluster and of neighboring clusters are coupled by inhibitory links, while the coupling to clusters distant in phase state is excitatory. In addition, the control scheme is able to construct networks such that they exhibit not only a given cluster state, but also oscillate with a prescribed frequency. Finally, we demonstrate the efficiency of the speed-gradient method in cases where only part of the network is accessible.
KW - CLUSTER SYNCHRONIZATION
KW - COMPLEX
KW - DYNAMICS
KW - MECHANISM
UR - http://www.scopus.com/inward/record.url?scp=84988530569&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-28028-8_3
DO - 10.1007/978-3-319-28028-8_3
M3 - Chapter
AN - SCOPUS:84988530569
SN - 978-3-319-28027-1
T3 - Understanding Complex Systems
SP - 47
EP - 63
BT - CONTROL OF SELF-ORGANIZING NONLINEAR SYSTEMS
A2 - Scholl, E
A2 - Klapp, SHL
A2 - Hovel, P
PB - Springer Nature
T2 - International Conference on Control of Self-Organizing Nonlinear Systems
Y2 - 25 August 2014 through 28 August 2014
ER -
ID: 37788515