Network Mutual Information and Synchronization under Time Transformations

Details Network Mutual Information and Synchronization under Time Transformations Network Mutual Information and Synchronization under Time Transformations

2007-06-22

arxiv.org/abs/0706.3324v4

Physics

Condensed Matter

Statistical Mechanics

15 pg

Scientific paper

10.1088/1367-2630/10/8/083003

We investigate the effect of general time transformations on the phase synchronization (PS) phenomenon and the mutual information rate (MIR) between pairs of nodes in dynamical networks. We demonstrate two important results concerning the invariance of both PS and the MIR. Under time transformations PS can neither be introduced nor destroyed and the MIR cannot be raised from zero. On the other hand, for proper time transformations the timing between the cycles of the coupled oscillators can be largely improved. Finally, we discuss the relevance of our findings for communication in dynamical networks.

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