回路シミュレータを用いた「オペアンプによる区分線形回路」の非線形力学・カオス工学教材の開発

概要

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Education materials in the design and experiments of electric circuits for engineering education are updated in the way of PBL (Project/Problem Based Learning) with circuit simulator SPICE (Simulation Program with Integrated Circuit Emphasis). As one of the most representative chaos circuits, we adopt here the Chua circuit which consists of a 3-segment piecewise-linear resistor, active resistor, and energy-storage elements. This piecewise-linear resistor is realized using operational amplifiers, according to the circuit design shown by Kennedy. It is shown in this report that the hysteresis may arise between increasing and decreasing the resistance value. In other words, this chaotic process observed may depend much on initial conditions. Experiments with this circuit, the circuit simulation with SPICE and numerical simulation coded in FORTRAN and the C-language provide students with the guide lines for Nonlinear Dynamical Systems and Chaos Engineering and with problems to obtain problem-solving techniques and skills and to study new items of nonlinear electric and electronic circuits.
2008-01-31