Parametric Excitation and Resonance

Parametric Excitation and Resonance

The following examples of dynamical systems which are subject to parametric excitation and parametric resonances are presented here in the context of SSM analysis

Extraction of Stability Diagrams

The following systems feature purely parametric excitation. For them the stability diagram and related forced response is computed

Systems under parametric and external excitation

The following systems are subject to direct excitation in combination with resonant parametric driving.

For more information refer to T. Thurnher, G. Haller & S. Jain, Nonautonomous Spectral Submanifolds for Model Reduction of Nonlinear Mechanical Systems under Parametric Resonance (2023). (submitted to Chaos)