TY - JOUR
T1 - Strong and weak chaos in nonlinear networks with time-delayed couplings
AU - Heiligenthal, Sven
AU - Dahms, Thomas
AU - Yanchuk, Serhiy
AU - Jüngling, Thomas
AU - Flunkert, Valentin
AU - Kanter, Ido
AU - Schöll, Eckehard
AU - Kinzel, Wolfgang
PY - 2011/12/2
Y1 - 2011/12/2
N2 - We study chaotic synchronization in networks with time-delayed coupling. We introduce the notion of strong and weak chaos, distinguished by the scaling properties of the maximum Lyapunov exponent within the synchronization manifold for large delay times, and relate this to the condition for stable or unstable chaotic synchronization, respectively. In simulations of laser models and experiments with electronic circuits, we identify transitions from weak to strong and back to weak chaos upon monotonically increasing the coupling strength.
AB - We study chaotic synchronization in networks with time-delayed coupling. We introduce the notion of strong and weak chaos, distinguished by the scaling properties of the maximum Lyapunov exponent within the synchronization manifold for large delay times, and relate this to the condition for stable or unstable chaotic synchronization, respectively. In simulations of laser models and experiments with electronic circuits, we identify transitions from weak to strong and back to weak chaos upon monotonically increasing the coupling strength.
UR - http://www.scopus.com/inward/record.url?scp=82455186861&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.107.234102
DO - 10.1103/PhysRevLett.107.234102
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C2 - 22182092
AN - SCOPUS:82455186861
SN - 0031-9007
VL - 107
JO - Physical Review Letters
JF - Physical Review Letters
IS - 23
M1 - 234102
ER -