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Phys. Rev. Lett. 78, 4193–4196 (1997)

From Phase to Lag Synchronization in Coupled Chaotic Oscillators

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Michael G. Rosenblum, Arkady S. Pikovsky, and Jürgen Kurths
Department of Physics, Potsdam University, Am Neuen Palais 10, D-14415, Potsdam, Germany

Received 15 October 1996; published in the issue dated 2 June 1997

We study synchronization transitions in a system of two coupled self-sustained chaotic oscillators. We demonstrate that with the increase of coupling strength the system first undergoes the transition to phase synchronization. With a further increase of coupling, a new synchronous regime is observed, where the states of two oscillators are nearly identical, but one system lags in time to the other. We describe this regime as a state with correlated amplitudes and a constant phase shift. These transitions are traced in the Lyapunov spectrum.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.4193
DOI:
10.1103/PhysRevLett.78.4193
PACS:
05.45.+b