Rapid convergence of time-averaged frequency in phase synchronized systems

TL;DR

This paper demonstrates that many phase synchronized chaotic oscillator systems rapidly converge to a common frequency, with convergence speed inversely proportional to measurement duration, shedding light on synchronization mechanisms.

Contribution

It provides numerical and experimental evidence for rapid frequency convergence in non-identical chaotic oscillators, explaining phase synchronization phenomena.

Findings

Frequency convergence speed scales as inverse of measurement period

Chaotic oscillators reach phase synchronization through rapid frequency convergence

Experimental validation supports numerical results

Abstract

Numerical and experimental evidence is presented to show that many phase synchronized systems of non-identical chaotic oscillators, where the chaotic state is reached through a period-doubling cascade, show rapid convergence of the time-averaged frequency. The speed of convergence toward the natural frequency scales as the inverse of the measurement period. The results also suggest an explanation for why such chaotic oscillators can be phase synchronized.