caa a22 4500 445866365 CHVBK 20180317145459.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1140/epjd/e2011-10370-7 doi (NATIONALLICENCE)springer-10.1140/epjd/e2011-10370-7 Complex transitions to synchronization in delay-coupled networks of logistic maps [Elektronische Daten] [C. Masoller, F.M. Atay] Abstract.: A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. When the delays are homogeneous throughout the network, the network synchronizes to a time-dependent state [F.M. Atay, J. Jost, A. Wende, Phys. Rev. Lett. 92, 144101 (2004)], which may be periodic or chaotic depending on the delay; when the delays are sufficiently heterogeneous, the synchronization proceeds to a steady-state, which is unstable for the uncoupled map [C. Masoller, A.C. Marti, Phys. Rev. Lett. 94, 134102 (2005)]. Here we characterize the transition from time-dependent to steady-state synchronization as the width of the delay distribution increases. We also compare the two transitions to synchronization as the coupling strength increases. We use transition probabilities calculated via symbolic analysis and ordinal patterns. We find that, as the coupling strength increases, before the onset of steady-state synchronization the network splits into two clusters which are in anti-phase relation with each other. On the other hand, with increasing delay heterogeneity, no cluster formation is seen at the onset of steady-state synchronization; however, a rather complex unsynchronized state is detected, revealed by a diversity of transition probabilities in the network nodes. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2011 Masoller C. Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Colom 11, Terrassa 08222, Barcelona, Spain aut Atay F.M. Max Planck Institute for Mathematics in the Sciences, 04103, Leipzig, Germany aut The European Physical Journal D Springer-Verlag 62/1(2011-03-01), 119-126 1434-6060 62:1<119 2011 62 10053 https://doi.org/10.1140/epjd/e2011-10370-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2011-10370-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Masoller C. Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Colom 11, Terrassa 08222, Barcelona, Spain aut NATIONALLICENCE 700 1- Atay F.M. Max Planck Institute for Mathematics in the Sciences, 04103, Leipzig, Germany aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 62/1(2011-03-01), 119-126 1434-6060 62:1<119 2011 62 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer