吉林大学学报(工学版) ›› 2000, Vol. 30 ›› Issue (01): 67-71.

• paper • Previous Articles     Next Articles

The Transitivity Arise Some Sufficient Condition Which Sensitive Dependence on Initial Conditions and Chaos

GAO Yu-liang   

  1. Dept of Mathematics, Jilin Teachers College, Jilin 132011, China
  • Received:1999-03-04 Online:2000-01-25 Published:2000-01-25

Abstract:

In this paper,it is introduced that transitivity arise some sufficient condition which sensitive dependence on initial conditions and chaos.

Key words: transitivity, sensitive dependence on initial condition, chaos

CLC Number: 

  • O19


[1] Devaney R L. An introduction to chaoeic dunamical
[M]. Rystems Kedwood City Calif:Addison-Wesley, 1986.

[2] Banks J, Br,∞ds J, Cairns G, et al. On devaney's definition of chaos
[J]. Amer. Math. Monthly, 1992,99(4):332-334.

[3] 麦结华.一类描述非混沌映射的符号动力系统
[J].科学通报, 1993 , 38 (15): 1427-1430.

[4] Walters P. An introduction to ergodic theory
[ M]. New Yorke: Springer-Verlag, 1982.

[1] WANG Tian-hao, WANG Zhong-fu, WANG Yu-meng, YANG Kai-yu, GAO Yin-han, MA Xi-lai. Statistic analysis of cable bundle crosstalk based on polynomial chaos expansion [J]. 吉林大学学报(工学版), 2017, 47(5): 1568-1576.
[2] HU Guan-yu, QIAO Pei-li. Chaos covariance matrix adaptation evolution strategy optimization algorithm [J]. 吉林大学学报(工学版), 2017, 47(3): 937-943.
[3] LI Ling, SHI Shu-ming, WANG Xian-bin, YU Zhuang. Stability of high-speed and turning vehicle influenced by engine braking [J]. 吉林大学学报(工学版), 2017, 47(1): 64-70.
[4] WANG Shi, SUI Yong-xin, DONG Yan, YANG Huai-jiang. LAN traffic flow prediction using improved small data method [J]. 吉林大学学报(工学版), 2016, 46(4): 1254-1260.
[5] SUN Xiao-dong,QUAN Ai-juan, LI Yong. New frequency estimation method for harmonic signal submerged in complex noise background [J]. 吉林大学学报(工学版), 2015, 45(2): 653-657.
[6] XING Hong-yan, GONG Ping, XU Wei. Weak periodic signal detection based on dissipative coupling synchronization and noise impact analysis [J]. 吉林大学学报(工学版), 2014, 44(4): 1182-1190.
[7] TIAN Hai-jiang, LEI Peng,WANG Yong. Image encryption algorithm based on chaos and dynamic DNA coding [J]. 吉林大学学报(工学版), 2014, 44(3): 801-806.
[8] LIU Qiang,SUN Ji-zhe,CHEN Xi-hong,LIU Ji-ye,ZHANG Qun. Application analysis of CPSO-LSSVM algorithm in AR clock error prediction [J]. 吉林大学学报(工学版), 2014, 44(3): 807-811.
[9] PU Xin, TIAN Xiao-jian, WANG Chun-min, ZHANG Jing, DONG Lei, YIN Jing. Image encryption scheme based on substitution of fiber chaotic system [J]. 吉林大学学报(工学版), 2014, 44(01): 270-275.
[10] LIU Peng, TIAN Xiao-jian, CAO Jun-sheng, YANG Yue. Image encryption algorithm based on hyper-chaos of Er-doped fiber laser [J]. 吉林大学学报(工学版), 2012, 42(增刊1): 405-409.
[11] ZHANG Niao-na, ZHOU Sui, ZHANG De-jiang. Synchronization control of finite time convergence between two different structure chaos systems [J]. 吉林大学学报(工学版), 2011, 41(4): 1131-1134.
[12] SUN Guang-Hui, WANG Mao, SHEN Li-Qun. Adaptive synchronization of fractionalorder chaotic systems and parameters identification [J]. 吉林大学学报(工学版), 2010, 40(增刊): 354-0359.
[13] HUANG Jin-wang,FENG Jiu-chao,CHEN Hong-bin . FPGA implementation for chaosbased communication system [J]. 吉林大学学报(工学版), 2009, 39(03): 814-0818.
[14] HE Xue-jun, ZHANG Qi-chang, ZHAO De-min . Dynamics of periodic and chaotic motion of rainwindinduced vibrations of cable structure [J]. 吉林大学学报(工学版), 2009, 39(03): 679-0685.
[15] WANG Bo, FENG Jiu-chao . Chaos steganography algorithm for video sequence based on H.264 [J]. 吉林大学学报(工学版), 2008, 38(04): 960-965.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!