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Research on synthesis methodology of piecewise linear chaotic circuit

## Research on synthesis methodology of piecewise linear chaotic circuit

Li Guan-Lin, Chen Xi-You
• #### Abstract

Chaotic oscillator can be produced by a single piecewise-linear element connected to a linear circuit. In this paper, the process of synthesizing the piecewise-linear chaotic circuit is discussed. Firstly, The parameters of the nonlinear element and the admittance function of the one-port circuit are determined by the eigenvalues of the system. Secondly, the one-port circuit is designed according to the admittance function. The one-port circuit can be realized with two kinds of basic admittance functions in parallel. The inductance and the capacitance of the circuit are always positive, and the negative resistances are always commonly grounded. Finally, the example of synthesizing chaotic circuit with the proposed method in presented.

• Funds:

#### References

 [1] Shil'nikov, Leonid P 1993 IEEE Trans on Circuits and Systems 40 784 [2] Chua L O, Lin G N 1990 IEEE Trans on Circuits and Systems 37 885 [3] Kocarev L, Karadzinov L, Chua L O 1993 Journal of Circuits, Systems and Computer 3 239 [4] Tamasevicius A, Namajunas A, Cenys A 1996 Electronic Letters 32 957 [5] Feldmann U, Schwarz W 1994 IEEE Trans on Circuits and Systems 41 190 [6] Makoto Itoh 1997 International Journal of Bifurcation and Chaos 7 1195 [7] Scanlan S O 2001 IEEE Trans on Circuits and Systems 48 1057 [8] Li G L, Chen X Y 2010 Chin. Phys. B 19 030507 [9] Kennedy M P 1993 IEEE Trans on Circuits and Systems I 40 657

#### Cited By

•  [1] Shil'nikov, Leonid P 1993 IEEE Trans on Circuits and Systems 40 784 [2] Chua L O, Lin G N 1990 IEEE Trans on Circuits and Systems 37 885 [3] Kocarev L, Karadzinov L, Chua L O 1993 Journal of Circuits, Systems and Computer 3 239 [4] Tamasevicius A, Namajunas A, Cenys A 1996 Electronic Letters 32 957 [5] Feldmann U, Schwarz W 1994 IEEE Trans on Circuits and Systems 41 190 [6] Makoto Itoh 1997 International Journal of Bifurcation and Chaos 7 1195 [7] Scanlan S O 2001 IEEE Trans on Circuits and Systems 48 1057 [8] Li G L, Chen X Y 2010 Chin. Phys. B 19 030507 [9] Kennedy M P 1993 IEEE Trans on Circuits and Systems I 40 657
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•  Citation:
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• Abstract views:  3289
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##### Publishing process
• Received Date:  31 December 2010
• Accepted Date:  06 April 2011
• Published Online:  15 September 2011

## Research on synthesis methodology of piecewise linear chaotic circuit

• 1. Department of Electrical Engineering, Dalian University of Technology, Dalian 116023, China

Abstract: Chaotic oscillator can be produced by a single piecewise-linear element connected to a linear circuit. In this paper, the process of synthesizing the piecewise-linear chaotic circuit is discussed. Firstly, The parameters of the nonlinear element and the admittance function of the one-port circuit are determined by the eigenvalues of the system. Secondly, the one-port circuit is designed according to the admittance function. The one-port circuit can be realized with two kinds of basic admittance functions in parallel. The inductance and the capacitance of the circuit are always positive, and the negative resistances are always commonly grounded. Finally, the example of synthesizing chaotic circuit with the proposed method in presented.

Reference (9)

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