Öbek Eşzamanlılığın Nedensellik Entropisi ile Belirlenmesi

Year 2019, , 1027 - 1036, 20.09.2019

Özge Canlı , Serkan Günel

https://doi.org/10.21205/deufmd.2019216330

Abstract

Kaotik sistemler birbirine durum
değişkenleri üzerinden bağlandığında uygun şartlarda öbek eşzamanlılık
gerçekleştirebileceği bilinmektedir. Sürekli zamanlı sistemlerden oluşan böyle
bir ağda örneklenmiş gözlem vektörleri kullanılarak ağın içindeki öbeklerin
belirlenmesi problemi ele alınmıştır. Buna ek olarak; ağ içerisinde bağlantı
şiddetinin değişmesi sonucu yeni öbekler oluşursa öbeklerin yeniden
belirlenebileceği ön görülmektedir. Öbek eşzamanlılığın belirlenmesi için bilgi
kuramı ölçütlerinden biri olan nedensellik entropisi ölçütünün kestirimleri yapılmıştır.
Bu ölçüt aynı ya da farklı öbekte olan kaotik sistemleri birbirinden ayrıştırmaktadır. 

Keywords

Eşzamanlılık, Bilgi kuramı, Nedensellik entropisi, Öbek eşzamanlılık

Detection of Cluster Synchronization via Causation Entropy

Abstract

When
chaotic systems are coupled to each other through state variables, the cluster
synchronization can occur in the proper circumstances. The problem of detection
of cluster synchronization by using observation samples has been investigated
in a coupled continuous time chaotic network. If the coupling strengths of this
network change, the network can form new clusters. The detection of clusters
has been also determined in case of rearranging clusters. In order to detect
cluster synchronization,  the causation
entropy has been estimated from observation vectors. This measure has been
shown to distinguish the systems forming in the network. 

Keywords

Synchronization, Information theory, Causation entropy, Cluster Synchronization

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