A Chaotic Circuit with Ferroelectric Nonlinearity

In this paper, the possibility of observing strange attractors in an electronic circuit including a nonlinear ferroelectric component has been investigated. The ferroelectric constitutes the medium interposed between the two plates of a capacitor. A circuit including the nonlinearity of the ferroelectric has been designed, while the parameters have been found by performing numerical integration with respect to different values of them. The circuit has been realized on a discrete components board. Experimental results, showing that for a suitable range of parameters a chaotic attractor emerges, are reported.

[1]  T. Saito Reality of chaos in four-dimensional hysteretic circuits , 1991 .

[2]  Controlled chaos in ferroelectric systems , 1994, Proceedings of 1994 IEEE International Symposium on Applications of Ferroelectrics.

[3]  Y. Nishio,et al.  Chaotic phenomena in an LCR oscillator with a hysteresis inductor , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[4]  Hanz Richter,et al.  Modeling Nonlinear Behavior in a Piezoelectric Actuator , 2001 .

[5]  T. Saito An approach toward higher dimensional hysteresis chaos generators , 1990 .

[6]  D. Pescetti,et al.  Mathematical modelling of hysteresis , 1989 .

[7]  A. M. Glass,et al.  Principles and Applications of Ferroelectrics and Related Materials , 1977 .

[8]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[9]  Toshimichi Saito,et al.  A four-dimensional plus hysteresis chaos generator , 1994 .

[10]  Willem L. De Koning,et al.  State-space analysis and identification for a class of hysteretic systems , 2001, Autom..

[11]  Edgar Sanchez-Sinencio,et al.  A 4-D chaotic oscillator based on a differential hysteresis comparator , 1998 .

[12]  C. Kittel Introduction to solid state physics , 1954 .

[13]  P. Arena,et al.  Hyperchaos from cellular neural networks , 1995 .

[14]  Lee,et al.  Computationally Efficient Ferroelectric Capacitor Model For Circuit Simulation , 1997, 1997 Symposium on VLSI Technology.

[15]  Rabinder N Madan,et al.  Chua's Circuit: A Paradigm for Chaos , 1993, Chua's Circuit.