Graph theory methods application to studying T-synchronization of chaotic systems

Developed is the approach to chaotic systems T-synchronization analysis, based on previously proposed by the author novel method of discrete mappings and sequences symbolic CTQ-analysis, on the basis of finite alphabet of symbols encoding three successive samples in the state space. As a further development of the approach considered is the time structure graph of chaotic systems' synchronization, its main features are studied. Basic capabilities of this approach are demonstrated by the example of coupled identical logistic maps. Revealed is the sensitivity of mentioned graph structural characteristics to system attractors rebuilding when establishing various synchronization modes of chaotic oscillations.