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Spatiotemporal quasiperiodicity transition to chaos in the one-way coupled bistability lattice system

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Abstract

One-way coupled optical bistability lattice (OCBL) system for open flow is investigated. By using numerical simulations spatiotemporal quasiperiodicity is found. A rough phase diagram indicating the main spatiotemporal dynamic behavior in weakly coupled lattice is given. The transitions between spatiotemporal quasiperiodicity and chaos are observed. This result is important for the understanding of turbulence.

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References

  1. Kaneko, K., Period-doubling of kink-antikink patterns, quasiperiodicity in antiferro-like structure and spatial intermittency in coupled map lattices,Prog. Theor. Phys., 1984, 72: 480.

    Article  MATH  Google Scholar 

  2. Kaneko, K.,Theory and Applications of Coupled Map Lattices, New York: Wiley, 1993.

    MATH  Google Scholar 

  3. Gade, P. M., Amritkar, R. E., Spatially periodic orbits in coupled map lattice,Phys. Rev., 1993, E47(1): 143.

    MathSciNet  Google Scholar 

  4. QU Zhilin, Hu Gang, Spatiotemporally periodic states, periodic windows and intermittency in coupled map lattices,Phys. Rev., 1994, E49(2): 1099.

    Google Scholar 

  5. Ding, E. J., Lu, Y. N., Universal scaling behavior in the weakly coupled map lattics,Phys. Lett., 1992, A161: 357.

    MathSciNet  Google Scholar 

  6. Chatterjee, H., Gupte, N., Synchronization in coupled sin circle maps,Phys. Rev., 1996, E53(5): 4457.

    MathSciNet  Google Scholar 

  7. Tian Gang, Yang Shiping, Xu Shushan, Spatiotemporal chaos and control in coupled antisymmetry cubic map lattices,Science in China (in Chinese), Ser. A, 1996, 26(9): 846.

    Google Scholar 

  8. Kaneko, K., Spatial period doubling in open flow,Phys. Lett., 1985, 111: 321.

    Article  Google Scholar 

  9. Willeboordsc, F. H., Kaneko, K., Bifurcation and spatial chaos in an open flow model,Phys. Rev. Lett., 1994, 73(4): 533.

    Article  Google Scholar 

  10. Willeboordsc, F.H., Kaneko, K., Periodic lattices of chaotic defects,Phys. Rev., 1995, E52(2): 1516.

    Google Scholar 

  11. Xie Fagen, Hu Gang, Spatiotemporal periodic pattern and propagated spatiotemporal on-off intermittency in the one-way cdupled map lattice system,Phys. Rev., 1996, 53(5): 4439.

    MathSciNet  Google Scholar 

  12. Zhang Hongjun, Dai Jianhua, Yang Shiping et al., Chaos in liquid crystal optical bistability, inDirections in Chaos (ed. Hao Bailin), Vol. 2, Singapore: World Scientific, 1988, 46–89.

    Google Scholar 

  13. Yang Shiping, Dai Jianhua, Zhang Hongjun et al., Three-frequency quasi-periodic transition to chaos in optical bistability,Chin. Phys., 1990, 10(4): 857.

    Google Scholar 

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Project supported by the Natural Science Foundation of Hebei Province.

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Yang, S., Tian, G., Qu, J. et al. Spatiotemporal quasiperiodicity transition to chaos in the one-way coupled bistability lattice system. Sci. China Ser. A-Math. 42, 213–219 (1999). https://doi.org/10.1007/BF02876574

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  • DOI: https://doi.org/10.1007/BF02876574

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