This paper analyzes fundamental phenomena from three coupled relaxation oscillators. The system nonlinearity is a piecewise linear hysteresis comparator and we can explicitly calculate the return map and its Lyapunov exponents. Then we clarify generation of chaos, 2-torus, 3-torus and various kinds of synchronizations. Also, a rough bifurcation diagram is given. It indicates that 3-torus is popular for weak coupling and chaos is popular for relatively strong coupling. Some of the phenomena are confirmed by laboratory measurements.
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