A multi-hysteresis VCCS and its application to multi-scroll chaotic oscillators

We propose a multi-hysteresis voltage controlled current source (multi-hysteresis VCCS). The multi-hysteresis VCCS consists of multiple single-hysteresis VCCSs in parallel. The multi-hysteresis VCCS can exhibit various kinds of i – v characteristics. In addition, we introduce a chaotic oscillator by applying the multi-hysteresis VCCSs. The proposed oscillator is suitable for the IC implementation. A fully-differential multiscroll chaotic oscillator circuit is designed. The SPICE simulation results confirm the multi-hysteresis characteristics and various chaotic attractors.

[1]  Xinghuo Yu,et al.  On Multiscroll Chaotic Attractors in Hysteresis-Based Piecewise-Linear Systems , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[2]  Y. Horio,et al.  An IC implementation of a hysteresis two-port VCCS chaotic oscillator , 2007, 2007 18th European Conference on Circuit Theory and Design.

[3]  T. Saito,et al.  A two-port VCCS chaotic oscillator and quad screw attractor , 2001 .

[4]  Michael S. Branicky,et al.  Universal Computation and Other Capabilities of Hybrid and Continuous Dynamical Systems , 1995, Theor. Comput. Sci..

[5]  Xinghuo Yu,et al.  n-scroll chaotic oscillators by second-order systems and double-hysteresis blocks , 2003 .

[6]  Ahmed Bouajjani,et al.  Perturbed Turing machines and hybrid systems , 2001, Proceedings 16th Annual IEEE Symposium on Logic in Computer Science.

[7]  F. Han,et al.  A new way of generating grid-scroll chaos and its application to biometric authentication , 2005, 31st Annual Conference of IEEE Industrial Electronics Society, 2005. IECON 2005..

[8]  Toshimichi Saito,et al.  A 4-D chaotic oscillator with a hysteresis 2-port VCCS: the first example of chaotic oscillators consisting of 2-port VCCSs and capacitors , 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).