Bifurcation phenomena from a simple hysteresis network

Kenya Jin’no · 2002

In order to analyze artificial neural networks which can treat dynamical information, we consider the simple hysteresis network whose cross connections are uniform. Also, it has only two parameters: self feedback and DC term. For this simple hysteresis network, we analyze discontinuous period doubling like bifurcation set. Even if all self feedback parameters are same value, we discover chaotic response which is confirmed by Lyapunov exponents and continuous spectrum. In our previous works, we have analyzed much simpler cases. In this paper, we analyze bifurcation phenomena by numerical experiments and laboratory measurements.

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