Generating Chaos Using Neural-Network-Differential-Equation

In this paper, we propose a new chaos generating system using neural network (NN), named as “Neural-Network-Differential-Equation (NNDE).” The system uses Neural-Network that has an ability to approximate any non-linear function with any precision. It has been confirmed that NNDE is able to generate multiple chaos by changing the nonlinear functions made by NN through altering values of connecting coefficients of neurons. The characters of plural chaos generated by NNDE have been examined on the following points; Lyapunov number, Poincare return map, sensitivity to initial value, fractal dimension and bifurcation diagram.

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