Erjaee, G. H.; Atabakzade, M. H.; Saha, L. M. Interesting synchronization-like behavior. (English) Zbl 1084.37506 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 4, 1447-1453 (2004). Summary: We analyze the behavior of some coupled chaotic systems, which are synchronization-like. This phenomenon occurs when all conditional Lyapunov exponents of a system are not negative. Recently, J. W. Shuaiet, K. W. Wong and L. M. Cheng [Synchronization of spatiotemporal chaos positive conditional Lyapunov exponents, Phys. Rev. E56, 2272–2275 (1997)] observed that synchronization can be achieved even with positive conditional Lyapunov exponents. Here, we review this observation, and, based on this observation, we see that not only interesting synchronization behaviors occur with positive or zero conditional Lyapunov exponents, but also these behaviors depend on different eigenvalues of the linearized system describing the evolution of the difference between the pair of chaotic systems. Cited in 2 Documents MSC: 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior Keywords:synchronization; Lyapunov exponents; coupled chaotic systems PDFBibTeX XMLCite \textit{G. H. Erjaee} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 4, 1447--1453 (2004; Zbl 1084.37506) Full Text: DOI References: [1] DOI: 10.1016/S0370-1573(02)00137-0 · Zbl 0995.37022 · doi:10.1016/S0370-1573(02)00137-0 [2] Carroll T. L., Phys. Rev. A 44 pp 2374– [3] DOI: 10.1143/PTP.69.32 · Zbl 1171.70306 · doi:10.1143/PTP.69.32 [4] DOI: 10.1103/PhysRevE.53.R5 · doi:10.1103/PhysRevE.53.R5 [5] DOI: 10.1103/PhysRevE.55.124 · doi:10.1103/PhysRevE.55.124 [6] DOI: 10.1103/PhysRevE.50.1874 · doi:10.1103/PhysRevE.50.1874 [7] DOI: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 · Zbl 1417.37129 · doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 [8] DOI: 10.1103/PhysRevLett.72.1451 · doi:10.1103/PhysRevLett.72.1451 [9] DOI: 10.1103/PhysRevLett.64.821 · Zbl 0938.37019 · doi:10.1103/PhysRevLett.64.821 [10] DOI: 10.1103/PhysRevLett.73.2931 · doi:10.1103/PhysRevLett.73.2931 [11] DOI: 10.1017/CBO9780511755743 · doi:10.1017/CBO9780511755743 [12] Shuaiet J. W., Phys. Rev. E 56 pp 2272– [13] DOI: 10.1103/PhysRevE.50.R647 · doi:10.1103/PhysRevE.50.R647 [14] DOI: 10.1016/0167-2789(85)90011-9 · Zbl 0585.58037 · doi:10.1016/0167-2789(85)90011-9 [15] DOI: 10.1103/PhysRevE.58.5188 · doi:10.1103/PhysRevE.58.5188 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.