2020-10-21T21:53:58Z
https://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/116774
2016-06-07T10:11:17Z
com_10261_2855
com_10261_4
col_10261_2857
Zeeb, Steffen
Dahms, Thomas
Flunkert, Valentín
Schöll, Eckehard
Kanter, Ido
Kinzel, Wolfgang
2015-06-18T08:57:06Z
2015-06-18T08:57:06Z
2013-04-10
Physical Review - Section E - Statistical Nonlinear and Soft Matter Physics 87(4): 042910 (2013)
http://hdl.handle.net/10261/116774
10.1103/PhysRevE.87.042910
The attractor dimension at the transition to complete synchronization in a network of chaotic units with time-delayed couplings is investigated. In particular, we determine the Kaplan-Yorke dimension from the spectrum of Lyapunov exponents for iterated maps and for two coupled semiconductor lasers. We argue that the Kaplan-Yorke dimension must be discontinuous at the transition and compare it to the correlation dimension. For a system of Bernoulli maps, we indeed find a jump in the correlation dimension. The magnitude of the discontinuity in the Kaplan-Yorke dimension is calculated for networks of Bernoulli units as a function of the network size. Furthermore, the scaling of the Kaplan-Yorke dimension as well as of the Kolmogorov entropy with system size and time delay is investigated. © 2013 American Physical Society.
eng
http://creativecommons.org/licenses/by/3.0/
openAccess
Discontinuous attractor dimension at the synchronization transition of time-delayed chaotic systems
artículo