[1] Chen Yichuan. Family of Invariant Cantor Sets as Orbits of Differential Equations[J]. International Journal of Bifurcation and Chaos, 2008, 18(7): 1825-1843.
[2] Góra P, Boyarsky A. On the Significance of the Tent Map[J]. International Journal of Bifurcation and Chaos, 2003, 13(5): 1299-1301.
[3] Lai Dejian, Chen Guanrong. Generating Different Statis- tical Distributions by the Chaotic Skew Tent Map[J]. International Journal of Bifurcation and Chaos, 2000, 10(6): 1509-1512.
[4] 于万波, 杨雪松, 魏小鹏. 单位区域上随机折线映射及
其交叉迭代的混沌分析[J]. 计算机应用研究, 2011, 28(10): 3837-3842.
[5] Li Changpin, Chen Guanrong. On the Marotto-Li-Chen Theorem and Its Application to Chaotification of Multi-dimensional Discrete Dynamical Systems[J]. Chaos, Solitons & Fractal, 2003, 18(4): 807-817.
[6] Wang Xiaofan, Chen Guanrong, Yu Xinghuo. Anticontrol of Chaos in Continuous-time Systems via Time-delay Feedback[J]. Chaos, Solitons & Fractal, 2000, 15(2): 771-779.
[7] Chen Guanrong, Huang Lin, Huang Yu. Chaotic Behavior of Interval Maps and Total Variations of Iterates[J]. International Journal of Bifurcation and Chaos, 2004, 14(7): 2161-2186.
[8] Zhang Xu, Shi Yuming, Chen Guanrong. Constructing Chaotic Polynomial Maps[J]. International Journal of Bifurcation and Chaos, 2009, 19(2): 531-543.
[9] Li Tianyan, York J A. Period Three Implies Chaos[J]. American Mathematical Monthly, 1975, 82(10): 985-992.
[10] Brooks B J, Cairns J, Cairen S, et al, On Devaney’s Definition of Chaos[J]. American Mathematical Monthly, 1992, 99(4): 332-334.
[11] Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos[M]. New York, USA: Springer-Verlag, 1990.
[12] Wang Lidong, Huang Guifen, Huan Songmei. Distribu- tional Chaos in a Sequence[J]. Nonlinear Analysis, 2007, 67(10): 2131-2136.
[13] Liu Heng, Wang Lidong, Chu Zhenyan. Devaney’s Chaos Implies Distributional Chaos in a Sequence[J]. Nonlinear Analysis, 2009, 71(12): 6144-6147.
[14] Akhmet M U. Li-Yorke Chaos in the System with Impacts[J]. Journal of Mathematical Analysis and Applications, 2009, 351(3): 804-810.
[15] Pisarchik A N, Zanin M. Image Encryption with Chaotically Coupled Chaotic Maps[J]. Physica D: Monlinear Phenomena, 2008, 237(20): 2638-2648.
[16] Gao Tiegang, Chen Zengqiang. A New Image Encryption Algorithm Based Xon Hyper-Chaos[J]. Physics Letters A, 2008, 372(4): 394-400.
[17] Huang C K, Nien H H. Multi Chaotic Systems Based Pixel Shuffle for Image Encryption[J]. Optics Communications, 2009, 282(11): 2123-2127. |