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math.DS2026
Predicting Generalized Steady States in Aperiodically Forced Mechanical Systems
Roshan S. Kaundinya, Isabella Thiel, Bálint Kaszás +2
The existence of generalized steady states (GSSs) in nonlinear mechanical systems under moderate temporally aperiodic forcing has only been shown recently. Here we derive systemati…
math.DS2024
Nonlinear Model Reduction to Random Spectral Submanifolds in Random Vibrations
Zhenwei Xu, Roshan S. Kaundinya, Shobhit Jain +1
Dynamical systems in engineering and physics are often subject to irregular excitations that are best modeled as random. Monte Carlo simulations are routinely performed on such ran…