Differential Geometry Applications to Nonlinear Oscillators Analysis
نویسندگان
چکیده
In this work a new approach to stability analysis is applied to nonlinear oscillators. Based on the use of local metrics properties of curvature and torsion resulting from Differential Geometry and while considering trajectory curves as plane or space curves, these properties directly provide their slow manifold analytical equation and its stable and unstable parts. Van der Pol and Colpitts models emphasize the application of this method to electronic systems.
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