Observability of lag synchronization of coupled chaotic oscillators

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 6, 1999, Pages R6247-R6250

  Taherion, Saeed ^a   Lai, Ying Cheng ^a  

^a UNIVERSITY OF KANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CURRENT VOLTAGE CHARACTERISTICS; OBSERVABILITY; SPURIOUS SIGNAL NOISE; SYNCHRONIZATION;

COUPLED CHAOTIC OSCILLATORS; LAG SYNCHRONIZATION;

OSCILLATORS (ELECTRONIC);

EID: 0032620988     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.R6247     Document Type: Article

References (9)

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2. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
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6. See, for example, N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993)
7. Y.-C. Lai and C. Grebogi, Phys. Rev. E 52, R3313 (1995).
8. In our experiments, the quantification of the noise [J. Engberg and T. Larsen, Noise Theory of Linear and Nonlinear Circuits (Wiley, New York, 1995)] is as follows. The noise is in-band; that is, its frequency spectrum covers that of the chaotic signal. Its root-mean-square voltage is about 4% of that of the chaotic signal.
9. Here in numerical experiments, the noise is uniformly distributed in [-ε,ε], and it is added at each integration step when the differential equations are integrated.