Chin. Phys. Lett.  2009, Vol. 26 Issue (7): 078202    DOI: 10.1088/0256-307X/26/7/078202
CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
A Novel Method for the Initial-Condition Estimation of a Tent Map
CHEN Xi, GAO Yong, YANG Yuan
Department of Electronic Engineering, Xi'an University of Technology, Xi'an 710048
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CHEN Xi, GAO Yong, YANG Yuan 2009 Chin. Phys. Lett. 26 078202
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Abstract Based on the connection between the tent map and the saw tooth map or Bernoulli map, a novel method for the initial-condition estimation of the tent map is presented. In the method, firstly the symbolic sequence generated from the tent map is converted to the forms obtained from the saw tooth map and Bernoulli map, and then the relationship between the symbolic sequence and the initial condition of the tent map can be obtained from the initial-condition estimation equations, which can be easily obtained, hence the estimation of the tent map can be achieved finally. The method is computationally simple and the error of the estimator is less than 1/2N. The method is verified by software simulation.
Keywords: 82.40.Bj      47.52.+j     
Received: 02 April 2009      Published: 02 July 2009
PACS:  82.40.Bj (Oscillations, chaos, and bifurcations)  
  47.52.+j (Chaos in fluid dynamics)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/7/078202       OR      https://cpl.iphy.ac.cn/Y2009/V26/I7/078202
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CHEN Xi
GAO Yong
YANG Yuan
[1] Kay S 1995 IEEE Trans. Signal Processing 431009
[2] Ling C, Wu X F and Sun S G 1999 IEEE Trans. SignalProcessing 47 1424
[3] Kay S and Nagesha V 1995 IEEE Trans. SignalProcessing 43 2013
[4] Papadopoulos H C and Wornell G W 1995 IEEE Trans.Inform. Theory 41 312
[5] Hao B L 1993 Starting With Parabolas: AnIntroduction to Chaotic Dynamics (Shanghai: Shanghai Scientificand Technological Education Publishing House) chap 1 p 12 (inChinese)
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