Synchronization Detection System, Synchronization Detection Device and Synchronization Detection Method in Oscillator System
A synchronization detection device includes: a pseudo-vorticity matrix calculation unit that inputs time evolution information of phases from an oscillator system including a finite number of oscillators and calculates a matrix having elements each of which is a discretized value of a phase difference obtained by two of the oscillators by time evolution; a synchronization graph generation unit that generates a synchronization graph that visualizes two-point synchronization with a graph representation; a partial synchronization set detection unit that detects a plurality of subsets of the oscillators having no common portion and partially synchronized in a set of a finite number of the oscillators in the synchronization graph; and a synchronization index calculation unit that generates an index characterizing partial synchronization of the oscillator system using a calculation result calculated by the pseudo-vorticity matrix calculation unit and a partial synchronization set detected by the partial synchronization set detection unit.
1 . A synchronization detection system comprising:
a phase information output unit that outputs time evolution information of phases from an oscillator system including a finite number of oscillators;
a pseudo-vorticity matrix calculation unit that calculates a matrix having elements each of which is a discretized value of a phase difference obtained by two of the oscillators by time evolution;
a synchronization graph generation unit that generates a synchronization graph that visualizes two-point synchronization with a graph representation;
a partial synchronization set detection unit that detects a plurality of subsets of the oscillators that have no common portion and are partially synchronized in a set of a finite number of the oscillators in the synchronization graph generated by the synchronization graph generation unit; and
a synchronization index calculation unit that generates an index characterizing partial synchronization of the oscillator system using a calculation result calculated by the pseudo-vorticity matrix calculation unit and a partial synchronization set detected by the partial synchronization set detection unit.
2 . A synchronization detection device comprising:
a pseudo-vorticity matrix calculation unit that inputs time evolution information of phases from an oscillator system including a finite number of oscillators and calculates a matrix having elements each of which is a discretized value of a phase difference obtained by two of the oscillators by time evolution;
a synchronization graph generation unit that generates a synchronization graph that visualizes two-point synchronization with a graph representation;
a partial synchronization set detection unit that detects a plurality of subsets of the oscillators that have no common portion and are partially synchronized in a set of a finite number of the oscillators in the synchronization graph generated by the synchronization graph generation unit; and
a synchronization index calculation unit that generates an index characterizing partial synchronization of the oscillator system using a calculation result calculated by the pseudo-vorticity matrix calculation unit and a partial synchronization set detected by the partial synchronization set detection unit.
3 . The synchronization detection device according to claim 2 , wherein the synchronization index calculation unit generates at least one of an entropy index characterizing partial synchronization of the oscillator system and a frequency index characterizing the partial synchronization.
4 . The synchronization detection device according to claim 2 , wherein the pseudo-vorticity matrix calculation unit expresses partial synchronization occurring in the oscillator system as a matrix having elements each of which is a discretized value of a phase difference obtained by two of the oscillators by time evolution.
5 . The synchronization detection device according to claim 2 , wherein the synchronization graph generation unit generates the synchronization graph by visualizing two-point synchronization, for partial synchronization occurring in the oscillator system, with a graph representation.
6 . The synchronization detection device according to claim 5 , wherein the partial synchronization set detection unit detects and visualizes a partial synchronization set from the synchronization graph.
7 . A synchronization detection method comprising:
a pseudo-vorticity matrix calculation step of inputting time evolution information of phases from an oscillator system including a finite number of oscillators and calculating a matrix having elements each of which is a discretized value of a phase difference obtained by two of the oscillators by time evolution;
a synchronization graph generation step of generating a synchronization graph that visualizes two-point synchronization with a graph representation;
a partial synchronization set detection step of detecting a plurality of subsets of the oscillators that have no common portion and are partially synchronized in a set of a finite number of the oscillators in the synchronization graph generated in the synchronization graph generation step; and
a synchronization index calculation step of generating an index characterizing partial synchronization of the oscillator system using a calculation result calculated in the pseudo-vorticity matrix calculation step and a partial synchronization set detected in the partial synchronization set detection step.