-
针对随机相位作用的Duffing混沌系统, 研究了随机相位强度变化时系统混沌动力学的演化行为及伴随的随机共振现象. 结合Lyapunov指数、庞加莱截面、相图、时间历程图、功率谱等工具, 发现当噪声强度增大时, 系统存在从混沌状态转化为有序状态的过程, 即存在噪声抑制混沌的现象, 且在这一过程中, 系统亦存在随机共振现象, 而且随机共振曲线上最优的噪声强度恰为噪声抑制混沌的参数临界点. 通过含随机相位周期力的平均效应分析并结合系统的分岔图, 探讨了噪声对混沌运动演化的作用机理, 解释了在此过程中随机共振的形成机理, 论证了噪声抑制混沌与随机共振的相互关系.
-
关键词:
- 混沌 /
- 随机相位 /
- 随机共振 /
- Lyapunov指数
[1] Matsumoto K, Tsuda I 1983 J. Stat. Phys. 31 87
[2] Ramesh M, Narayanan S 1999 Chaos, Soliton. Fract. 10 1473
[3] Yang X L, Xu W 2009 Acta Phys. Sin. 58 3722 (in Chinese) [杨晓丽, 徐伟 2009 物理学报 58 3722]
[4] Wei J G, Leng G 1997 Appl. Math. Comput. 88 77
[5] Yoshimoto M, Shirahama H, Kurosawa S 2008 J. Chem. Phys. 129 014508
[6] Lei Y M, Xu W, Xu Y, Fang T 2004 Chaos, Soliton. Fract. 21 1175
[7] Xu Y, Mahmoud G M, Xu W, Lei Y M 2005 Chaos, Soliton. Fract. 23 265
[8] Li S, Xu W, Li R H 2006 Acta Phys. Sin. 55 1049 (in Chinese) [李爽, 徐伟, 李瑞红 2006 物理学报 55 1049]
[9] Gu Y F, Xiao J 2014 Acta Phys. Sin. 63 160506 (in Chinese) [古元凤, 肖剑 2014 物理学报 63 160506]
[10] Gammaitoni L, Hänggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[11] Zhang G J, Xu J X 2005 Chaos, Soliton. Fract. 27 1056
[12] Jngling T, Benner H, Stemler T, Just W 2008 Phys. Rev. E 77 036216
[13] Arathi S, Rajasekar S 2014 Commun. Nonlinear Sci. Numer. Simulat. 19 4049
[14] Lu K, Wang F Z, Zhang G L, Fu W H 2013 Chin. Phys. B 22 120202
[15] Zhang L Y, Jin G X, Cao L, Wang Z Y 2012 Chin. Phys. B 21 120502
[16] Wang K K, Liu X B 2014 Chin. Phys. B 23 010502
[17] Yamazaki H, Yamada T, Kai S 1998 Phys. Rev. Lett. 81 4112
[18] Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
[19] Qian M, Zhang X J 2001 Phys. Rev. E 65 011101
[20] Zhang X J 2004 J. Phys. A: Math. Gen. 37 7473
-
[1] Matsumoto K, Tsuda I 1983 J. Stat. Phys. 31 87
[2] Ramesh M, Narayanan S 1999 Chaos, Soliton. Fract. 10 1473
[3] Yang X L, Xu W 2009 Acta Phys. Sin. 58 3722 (in Chinese) [杨晓丽, 徐伟 2009 物理学报 58 3722]
[4] Wei J G, Leng G 1997 Appl. Math. Comput. 88 77
[5] Yoshimoto M, Shirahama H, Kurosawa S 2008 J. Chem. Phys. 129 014508
[6] Lei Y M, Xu W, Xu Y, Fang T 2004 Chaos, Soliton. Fract. 21 1175
[7] Xu Y, Mahmoud G M, Xu W, Lei Y M 2005 Chaos, Soliton. Fract. 23 265
[8] Li S, Xu W, Li R H 2006 Acta Phys. Sin. 55 1049 (in Chinese) [李爽, 徐伟, 李瑞红 2006 物理学报 55 1049]
[9] Gu Y F, Xiao J 2014 Acta Phys. Sin. 63 160506 (in Chinese) [古元凤, 肖剑 2014 物理学报 63 160506]
[10] Gammaitoni L, Hänggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[11] Zhang G J, Xu J X 2005 Chaos, Soliton. Fract. 27 1056
[12] Jngling T, Benner H, Stemler T, Just W 2008 Phys. Rev. E 77 036216
[13] Arathi S, Rajasekar S 2014 Commun. Nonlinear Sci. Numer. Simulat. 19 4049
[14] Lu K, Wang F Z, Zhang G L, Fu W H 2013 Chin. Phys. B 22 120202
[15] Zhang L Y, Jin G X, Cao L, Wang Z Y 2012 Chin. Phys. B 21 120502
[16] Wang K K, Liu X B 2014 Chin. Phys. B 23 010502
[17] Yamazaki H, Yamada T, Kai S 1998 Phys. Rev. Lett. 81 4112
[18] Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
[19] Qian M, Zhang X J 2001 Phys. Rev. E 65 011101
[20] Zhang X J 2004 J. Phys. A: Math. Gen. 37 7473
| 引用本文: |
|
| Citation: |
|
计量
- 文章访问数: 1330
- PDF下载量: 405
- 被引次数: 0
下载:
