| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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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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| Cite this article: |
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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.
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| Keywords:
82.40.Bj
47.52.+j
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Received: 02 April 2009
Published: 02 July 2009
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| PACS: |
82.40.Bj
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(Oscillations, chaos, and bifurcations)
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47.52.+j
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(Chaos in fluid dynamics)
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[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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