A Digital Nonautonomous Chaotic Oscillator Suitable for Information Transmission

In this brief, an all-digital chaotic operating electronic circuit, which is suitable for information modulation and chaotic transmission, is introduced. The chaotic oscillating circuit is a nonautonomous one, and it is designed in such a way that signals at all stages are digital ones. No analog subcircuit is involved in generating chaos. Oscillator design and experimental demonstration of its chaotic behavior are provided, together with the evaluation of the chaotic properties that it possesses, employing established nonlinear dynamics tools.

[1]  S. G. Stavrinides,et al.  The Route from Synchronization to Desynchronization of Chaotic Operating Circuits and Systems , 2013 .

[2]  Ángel Rodríguez-Vázquez,et al.  Mixed-signal map-configurable integrated chaos generator for chaotic communications , 2001 .

[3]  L. Magafas,et al.  Digital Chaotic Synchronized Communication System , 2009 .

[4]  L. Chua.  Nonlinear circuits , 1984 .

[5]  Alexander S. Dmitriev,et al.  AMPLITUDE MODULATION AND DEMODULATION OF CHAOTIC SIGNALS , 2004 .

[6]  Amalia Miliou,et al.  Nonlinear electronic circuit, Part I: Multiple routes to chaos , 2009 .

[7]  E. Ott.  Chaos in Dynamical Systems: Contents , 1993 .

[8]  H. Schuster.  Deterministic chaos: An introduction (2nd revised edition) , 1988 .

[9]  P. Grassberger,et al.  Dimensions and entropies of strange attractors from a fluctuating dynamics approach , 1984 .

[10]  E. Süli,et al.  An introduction to numerical analysis , 2003 .

[11]  F. Takens.  Detecting strange attractors in turbulence , 1981 .

[12]  K. Pawelzik,et al.  Optimal Embeddings of Chaotic Attractors from Topological Considerations , 1991 .

[13]  Wei-Der Chang,et al.  Digital secure communication via chaotic systems , 2009, Digit. Signal Process..

[14]  Teh-Lu Liao,et al.  Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization , 2005 .

[15]  Alan J. Michaels.  A maximal entropy digital chaotic circuit , 2011, 2011 IEEE International Symposium of Circuits and Systems (ISCAS).

[16]  Ahmed S. Elwakil,et al.  On the realization of circuit-independent nonautonomous pulse-excited chaotic oscillator circuits , 2004, IEEE Transactions on Circuits and Systems II: Express Briefs.

[17]  P. Grassberger,et al.  Estimation of the Kolmogorov entropy from a chaotic signal , 1983 .

[18]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[19]  Amalia Miliou,et al.  Nonlinear Electronic Circuit - PART II - Synchronization in a Chaotic MODEM Scheme , 2009 .

[20]  P. Grassberger,et al.  Characterization of Strange Attractors , 1983 .

[21]  E. Ott.  Chaos in Dynamical Systems: Contents , 2002 .

[22]  Bharathwaj Muthuswamy,et al.  Implementing Memristor Based Chaotic Circuits , 2010, Int. J. Bifurc. Chaos.