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In this paper noise-induced intermittency phenomenon in Hénon map is studied. Through numerical simulation and global analysis the mechanism of noise-induced intermittency in Hénon map is revealed. By using stochastic sensitivity function method to detect whether there will be collisions between confidence ellipse of periodic attractor and chaotic saddle, a method to estimate the critical strength of noise is proposed. Results show that the noise-induced intermittency in Hénon map is caused by interactions between cycle attractor and unstable manifold of chaotic saddle, whereas the stochastic sensitivity function method can estimate the critical noise strength in intermittency phenomenon accurately.
[1] Zhang X Y, Xu W, Zhou B C 2011 Acta Phys. Sin. 60 060514(in Chinese) [张晓燕, 徐伟, 周丙常 2011 60 060514]
[2] Zeng C H, Wang H, Wang H T 2011 Chin. Phys. B 20 050502
[3] Buric N, Todorovic K, Vasovic N 2010 Phys. Rev. E 82 037201
[4] Du L, Xu W, Xu Y, Wang L 2012 Acta Phys. Sin. 61 050504(in Chinese) [都琳, 徐伟, 许勇, 王亮 2012 61 050504]
[5] Feng J, Xu W, Gu R C, Di G G 2011 Acta Phys. Sin. 60 090507(in Chinese) [冯俊, 徐伟, 顾仁财, 狄根虎 2011 60 090507]
[6] Tél T, Lai Y C, Gruiz M 2008 International Journal of Bifurcation and Chaos 18 509
[7] Lai Y C, Liu Z, Billings L, Schwartz I B 2003 Phys. Rev. E 67 026210
[8] Tél T, Lai Y C 2010 Phys. Rev. E 81 056208
[9] Mil’shtein G N, Ryashko L B 1995 Journal of Applied Mathematics and Mechanics 59 47
[10] Bashkirtseva I A, Ryashko L B 2009 Phys. Rev. E 79 041106
[11] Jiang J 2012 Chin. Phys. Letters 29 050503
[12] Bashkirtseva I A, Ryashko L B, Tsvetkov I N 2010 Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis 17 501
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[1] Zhang X Y, Xu W, Zhou B C 2011 Acta Phys. Sin. 60 060514(in Chinese) [张晓燕, 徐伟, 周丙常 2011 60 060514]
[2] Zeng C H, Wang H, Wang H T 2011 Chin. Phys. B 20 050502
[3] Buric N, Todorovic K, Vasovic N 2010 Phys. Rev. E 82 037201
[4] Du L, Xu W, Xu Y, Wang L 2012 Acta Phys. Sin. 61 050504(in Chinese) [都琳, 徐伟, 许勇, 王亮 2012 61 050504]
[5] Feng J, Xu W, Gu R C, Di G G 2011 Acta Phys. Sin. 60 090507(in Chinese) [冯俊, 徐伟, 顾仁财, 狄根虎 2011 60 090507]
[6] Tél T, Lai Y C, Gruiz M 2008 International Journal of Bifurcation and Chaos 18 509
[7] Lai Y C, Liu Z, Billings L, Schwartz I B 2003 Phys. Rev. E 67 026210
[8] Tél T, Lai Y C 2010 Phys. Rev. E 81 056208
[9] Mil’shtein G N, Ryashko L B 1995 Journal of Applied Mathematics and Mechanics 59 47
[10] Bashkirtseva I A, Ryashko L B 2009 Phys. Rev. E 79 041106
[11] Jiang J 2012 Chin. Phys. Letters 29 050503
[12] Bashkirtseva I A, Ryashko L B, Tsvetkov I N 2010 Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis 17 501
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