Experimental study of imperfect phase synchronization in the forced Lorenz system

Chaos - Tập 13 Số 1 - Trang 319-326 - 2003
Antonio Pujol-Peré1, O. Calvo2, Manuel A. Matı́as1, Jürgen Kurths3
1Instituto Mediterráneo de Estudios Avanzados, IMEDEA (CSIC-UIB) E-07071 Palma de Mallorca, Spain
2Departament de Fı́sica, Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain
3Institute of Physics, Potsdam University, PF 601553, D-14115 Potsdam, Germany

Tóm tắt

In this work we demonstrate for an experimental system, that exhibits the Lorenz butterfly attractor behavior, that perfect chaotic phase synchronization cannot be achieved in systems with an unbounded distribution of intrinsic time scales. Instead, imperfect phase synchronization is characterized by the occurrence of phase slips, associated to epochs of time during which the chaotic oscillator exhibits a slower time scale. Interestingly, during phase slips the chaotic oscillator keeps in sync with the drive, but with a different locking ratio.

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