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Chin. Phys. B, 2010, Vol. 19(3): 030510    DOI: 10.1088/1674-1056/19/3/030510
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Transient chaos in smooth memristor oscillator

Bao Bo-Cheng(包伯成)a)b)†, Liu Zhong(刘中) a), and Xu Jian-Ping(许建平)c)
a Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China; b School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, China; c School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
Abstract  This paper presents a new smooth memristor oscillator, which is derived from Chua's oscillator by replacing Chua's diode with a flux-controlled memristor and a negative conductance. Novel parameters and initial conditions are dependent upon dynamical behaviours such as transient chaos and stable chaos with an intermittence period and are found in the smooth memristor oscillator. By using dynamical analysis approaches including time series, phase portraits and bifurcation diagrams, the dynamical behaviours of the proposed memristor oscillator are effectively investigated in this paper.
Keywords:  dynamical behaviour      initial condition      memristor oscillator      transient chaos  
Received:  15 September 2009      Revised:  29 September 2009      Accepted manuscript online: 
PACS:  05.45.Tp (Time series analysis)  
  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Xt (Synchronization; coupled oscillators)  
  02.30.Oz (Bifurcation theory)  
  84.30.Ng (Oscillators, pulse generators, and function generators)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No.~60971090), and the Natural Science Foundations of Jiangsu Province, China (Grant No.~BK2009105).

Cite this article: 

Bao Bo-Cheng(包伯成), Liu Zhong(刘中), and Xu Jian-Ping(许建平) Transient chaos in smooth memristor oscillator 2010 Chin. Phys. B 19 030510

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