Detecting Cluster Synchronization in Chaotic Dynamic Networks via Information Theoretic Measures

CANLI USTA Ö., GÜNEL S.

42nd International Conference on Telecommunications and Signal Processing (TSP), Budapest, Macaristan, 1 - 03 Temmuz 2019, ss.521-524, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası:
  • Doi Numarası: 10.1109/tsp.2019.8768823
  • Basıldığı Şehir: Budapest
  • Basıldığı Ülke: Macaristan
  • Sayfa Sayıları: ss.521-524
  • Anahtar Kelimeler: cluster synchronization, information theory, transfer entropy, NEIGHBORS
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

Sub-systems in a network of chaotic dynamic systems can form clusters of synchronization. In this study, we investigate the problem of detection of cluster synchronization via information theoretic measures. We have shown that, if the existing information measures in the literature, particularly transfer entropy, is estimated from sequential observations of continuous chaotic systems, it is hard to detect cluster synchronization, directly. On the other hand, if the state space is reconstructed from the observed data in the light of Takens' embedding theorem first, the cluster synchronization can be detected easily.