中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60516-060516.doi: 10.1088/1674-1056/19/6/060516
谢玲玲, 高继华
收稿日期:
2009-11-19
出版日期:
2010-06-15
发布日期:
2010-06-15
Xie Ling-Ling(谢玲玲) and Gao Ji-Hua(高继华)†
Received:
2009-11-19
Online:
2010-06-15
Published:
2010-06-15
摘要: The domain size of spiral waves is an important issue in studies of two-dimensional (2D) spatiotemporal patterns. In this work, we use the 2D complex Ginzburg--Landau equation (CGLE) as our model and find that an initially big spiral can successfully transfer to several small spirals by applying a pulse array method. The impacts of several important factors, such as array density, controlling intensity and pulsing time, are investigated. This control approach may be useful for the control of 2D spatiotemporal patterns and has potential applications in the control of some realistic systems, such as meteorological and cardiac systems.
中图分类号: (Nonlinear dynamics and chaos)
谢玲玲, 高继华. Size transition of spiral waves using the pulse array method[J]. 中国物理B, 2010, 19(6): 60516-060516.
Xie Ling-Ling(谢玲玲) and Gao Ji-Hua(高继华). Size transition of spiral waves using the pulse array method[J]. Chin. Phys. B, 2010, 19(6): 60516-060516.
[1] | Diercks J W and Anthes R A 1976 J. Atmos. Sci. 33 959 |
[2] | Winfree A T 1987 When Time Breaks Down (Cambridge: Princeton University Press) |
[3] | Yu L C, Ma J, Zhang G Y and Chen Y 2008 Chin. Phys. Lett. 25 2706 |
[4] | Jakubith S, Rotermund H H, Engel W, Oertzen A von and Ertl G 1990 Phys. Rev. Lett. 65 3013 |
[5] | Ecke R E, Hu Y, Mainieri R and Ahlers G 1995 Science 269 1704 |
[6] | Vanag V K and Epstein I R 2001 Science 294 835 |
[7] | Gong Y and Christini D J 2003 Phys. Rev. Lett. 90 088302 |
[8] | Zaritski R M and Pertsov A M 2002 Phys. Rev. E 66 066120 |
[9] | Goryachev A, Chate H and Kapral R 1998 Phys. Rev. Lett . 80 873 |
[10] | Yuan G Y, Zhang G C, Wang G R and Chen S G 2005 Commun. Theor Phys. 43 459 |
[11] | Xiao J H, Hu G and Hu B 2004 Chin. Phys. Lett. 21 1224 |
[12] | Alonso S, Sagues F and Mikhailov A S 2003 Science 299 1722 |
[13] | Zhang H, Hu B and Hu G 2003 Phys. Rev. E 68 026134 |
[14] | Gan Z N, Ma J, Zhang G Y and Chen Y 2008 Acta Phys. Sin. 57 5400 (in Chinese) |
[15] | Bar M and Eiswirth M 1993 Phys. Rev. E 48 R1635 |
[16] | Brusch L, Torcini A and Bar M 2003 Phys. Rev. Lett. 91 108302 |
[17] | Ouyang Q and Flesselles J M 1996 Nature 379 143 |
[18] | Bar M and Or-Guil M 1999 Phys. Rev. Lett. 82 1160 |
[19] | Liu F C, Wang X F, Li X C and Dong L F 2007 Chin. Phys. 16 2640 |
[20] | Yuan G Y, Yang S P, Wang G R and Chen S G 2008 Chin. Phys. B 17 1925 |
[21] | Steinbock O, Schutze J and Muller S C 1992 Phys. Rev. Lett . 68 248 |
[22] | Bohr T, Huber G and Ott E 1997 Physica D 106 95 |
[23] | Zhan M, Luo J M and Gao J H 2007 Phys. Rev. E 75 016214 |
[24] | Luo J M, Zhang B S and Zhan M 2009 Chaos 19 033133 |
[25] | Hu G, Xiao J H, Chua L O and Pivka L 1998 Phys. Rev. Lett. 80 1884 |
[26] | Kuramoto Y 1984 Chemical Oscillations, Waves and Turbulence (New York: Springer) |
[27] | Cross M and Hohenberg P 1993 Rev. Mod. Phys. 65 851 |
[28] | Aranson I and Kramer L 2002 Rev. Mod. Phys . 74 99 |
[29] | Hagan P S 1982 SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 42 762 |
[30] | Gao J H and Zhan M 2007 Phys. Lett. A 371 96 |
[31] | Eguiluz V, Hernandez-Garcia E and Piro O 1999 Int. J. Bifur. Chaos 9 2209 |
[32] | Lugovtsov B A 2002 J. Appl. Mech. Ech. Phys. 13 237 |
[1] | Abderrahmane Abbes, Adel Ouannas, and Nabil Shawagfeh. An incommensurate fractional discrete macroeconomic system: Bifurcation, chaos, and complexity[J]. 中国物理B, 2023, 32(3): 30203-030203. |
[2] | Xinyu Gao(高昕瑜), Bo Sun(孙博), Yinghong Cao(曹颖鸿), Santo Banerjee, and Jun Mou(牟俊). A color image encryption algorithm based on hyperchaotic map and DNA mutation[J]. 中国物理B, 2023, 32(3): 30501-030501. |
[3] | Huamei Yang(杨华美) and Yuangen Yao(姚元根). Realizing reliable XOR logic operation via logical chaotic resonance in a triple-well potential system[J]. 中国物理B, 2023, 32(2): 20501-020501. |
[4] | Zhixuan Yuan(袁治轩), Mengmeng Du(独盟盟), Yangyang Yu(于羊羊), and Ying Wu(吴莹). Epilepsy dynamics of an astrocyte-neuron model with ammonia intoxication[J]. 中国物理B, 2023, 32(2): 20502-020502. |
[5] | Xiaodong Jiao(焦晓东), Mingfeng Yuan(袁明峰), Jin Tao(陶金), Hao Sun(孙昊), Qinglin Sun(孙青林), and Zengqiang Chen(陈增强). Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability[J]. 中国物理B, 2023, 32(1): 10507-010507. |
[6] | Hsinchen Yu(于心澄), Dong Bai(柏栋), Peishan He(何佩珊), Xiaoping Zhang(张小平), Zhongzhou Ren(任中洲), and Qiang Zheng(郑强). Resonance and antiresonance characteristics in linearly delayed Maryland model[J]. 中国物理B, 2022, 31(12): 120502-120502. |
[7] | Qiankun Sun(孙乾坤), Shaobo He(贺少波), Kehui Sun(孙克辉), and Huihai Wang(王会海). A novel hyperchaotic map with sine chaotification and discrete memristor[J]. 中国物理B, 2022, 31(12): 120501-120501. |
[8] | Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为). Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control[J]. 中国物理B, 2022, 31(10): 100504-100504. |
[9] | Zhi-Wei Jia(贾志伟), Li Li(李丽), Yi-Yan Guo(郭一岩), An-Bang Wang(王安帮), Hong Han(韩红), Jin-Chuan Zhang(张锦川), Pu Li(李璞), Shen-Qiang Zhai(翟慎强), and Feng-Qi Liu(刘峰奇). Periodic and chaotic oscillations in mutual-coupled mid-infrared quantum cascade lasers[J]. 中国物理B, 2022, 31(10): 100505-100505. |
[10] | Rui Wang(王蕊), Meng-Yang Li(李孟洋), and Hai-Jun Luo(罗海军). Exponential sine chaotification model for enhancing chaos and its hardware implementation[J]. 中国物理B, 2022, 31(8): 80508-080508. |
[11] | Gang Zhang(张刚), Yu-Jie Zeng(曾玉洁), and Zhong-Jun Jiang(蒋忠均). Characteristics of piecewise linear symmetric tri-stable stochastic resonance system and its application under different noises[J]. 中国物理B, 2022, 31(8): 80502-080502. |
[12] | Xiaopeng Yan(闫晓鹏), Xingyuan Wang(王兴元), and Yongjin Xian(咸永锦). Synchronously scrambled diffuse image encryption method based on a new cosine chaotic map[J]. 中国物理B, 2022, 31(8): 80504-080504. |
[13] | Yi-Xuan Shan(单仪萱), Hui-Lan Yang(杨惠兰), Hong-Bin Wang(王宏斌), Shuai Zhang(张帅), Ying Li(李颖), and Gui-Zhi Xu(徐桂芝). Effect of astrocyte on synchronization of thermosensitive neuron-astrocyte minimum system[J]. 中国物理B, 2022, 31(8): 80507-080507. |
[14] | Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲), and Tian-Qi Zhang(张天骐). Research and application of stochastic resonance in quad-stable potential system[J]. 中国物理B, 2022, 31(7): 70503-070503. |
[15] | Sheng-Hao Jia(贾生浩), Yu-Xia Li(李玉霞), Qing-Yu Shi(石擎宇), and Xia Huang(黄霞). Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system[J]. 中国物理B, 2022, 31(7): 70505-070505. |
|