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Phase Space Compression in One-Dimensional Complex Ginzburg--Landau Equation |
GAO Ji-Hua1;PENG Jian-Hua2 |
| 1Shenzhen Key Laboratory of Special Functional Materials, College of Materials, Shenzhen University, Shenzhen 5180602College of Physics, Shenzhen University, Shenzhen 518060 |
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| Cite this article: |
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GAO Ji-Hua, PENG Jian-Hua 2007 Chin. Phys. Lett. 24 1614-1617 |
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Abstract The transition from stationary to oscillatory states in dynamical systems under phase space compression is investigated. By considering the model for the spatially one-dimensional complex Ginzburg--Landau equation, we find that defect turbulence can be substituted with stationary and oscillatory signals by applying system perturbation and confining variable into various ranges. The transition procedure described by the oscillatory frequency is studied via numerical simulations in detail.
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| Keywords:
47.27.Rc
05.45.Gg
82.40.Ck
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Received: 05 January 2007
Published: 17 May 2007
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| PACS: |
47.27.Rc
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(Turbulence control)
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05.45.Gg
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(Control of chaos, applications of chaos)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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[1] Hu G and Qu Z L 1994 Phys. Rev. Lett. 72 68
[2] Kapitaniak T 1994 Phys. Rev. E 50 1642
[3] Lai Y C and Grebogi C 1994 Phys. Rev. E 50 1894
[4] Peng J H, Ding E J, Ding M et al 1996 Phys. Rev. Lett. 76 904
[5] Kocarev L, Parlitz U, Stojanovski T et al 1997 Phys. Rev. E 56 1238
[6] Xiao J H, Hu G and Hu B B 2004 Chin. Phys. Lett. 211224
[7] Alonso S, Sagues F and Mikhailov A S 2003 Science 2991722
[8] Zhang H, Cao Z J, Wu N J et al 2005 Phys. Rev. Lett. 94188301
[9] Jiang M X, Wang X N, Ouyang Q et al 2004 Phys. Rev. E 69 056202
[10] Wang X N, Lu Y, Jiang M X et al 2004 Phys. Rev. E 69056223
[11] Tang G N and Hu G 2006 Chin. Phys. Lett. 23 1523
[12] Xiao J H, Hu G, Yang J Z et al 1998 Phys. Rev. Lett. 81 5552
[13] Gao J H, Wang X G, Hu G et al 2001 Phys. Lett. A 283342
[14] Glass L and Zeng W 1994 Int. J. Bifur. Chaos Appl. Sci. Eng. 4 1061
[15] Luo X S 1999 Acta Phys. Sin. 48 402 (in Chinese)
[16] Zhang X and Shen K 2001 Phys. Rev. E 63 046212
[17] Kuramoto Y 1984 Chemical Oscillations, Waves and Turbulence(New York: Springer)
[18] Cross M and Hohenberg P 1993 Rev. Mod. Phys. 65 851
[19] Shraiman B, Pumir A, Saarloos W et al 1992 Physica D 57 241
[20] Aranson I and Kramer L 2002 Rev. Mod. Phys. 74 99
[21] Chat\'{e H and Manneville P 1996 Physica A 224 348
[22] Hu B and Zhang H 2003 Int. J. Mod. Phys. B 17 3988 |
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