Yasuteru Hosokawa

Simple chaotic circuit using CMOS ring oscillators

In this study, a chaotic circuit suitable for an integrated circuit is proposed. The circuit consists of two CMOS ring oscillators and a pair of diodes. By using a simplied model of the circuit, the mechanism of generating chaos is explained and the exact solutions are derived. The exact expressions of the Poincar e map and its Jacobian matrix make those possible to conrm the generation of chaos using the Lyapunov exponents and to investigate the related bifurcation phenomena.

N-phase synchronization of asymmetric attractors in a ring of coupled chaotic circuits

Chaos synchronization can be observed in various natural systems. In this study, we investigate synchronization phenomena on a ring of coupled chaotic circuits. We can observe N-phase chaos synchronization and simple synchronization phenomena depending on initial values in the system. This paper suggests ring topology and alternately shifted bias are essential factors of N-phase synchronization.

Movement of small amplitude parts in a coupled chaotic system

We investigate the movement of small amplitude parts in a coupled chaotic system. The system consists of chaotic circuits using CMOS ring oscillators and capacitors as coupling elements. In the case of coupling 25 chaotic circuits, irregular movements of small amplitude parts are observed for the same parameter and different initial values. This is a kind of spatio-temporal phenomena. We focus attention on difference of the movement. Distributions of the small amplitude parts are investigated.