Can We Work Around Numerical Methods? An Insight

Sandeep Chandana, Rene V. Mayorga

This paper proposes a non ñ conventional technique of analyzing the stability thresholds for certain type of self ñ sustaining oscillations. The revered van-der-Pol equation has been studied in this work with an intention to predict an accurate stability criterion under the effect of a set of parameters and estimation techniques with the help of a novel neural network based approximation module. Three formulated numerical methods and standard Euler and Runge Kutta methods have been used as the preliminary mathematical framework for designing the structure and type of the Neural Network.

Subjects: 15.3 Control; 14. Neural Networks


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