4 papers
Nonlinear Model Reduction of Complex Networks via Spectral Submanifolds
Kaviya Bhaskaran, Shobhit Jain, Mingwu Li
Complex networked systems are prevalent in biology, engineering, and the social sciences, yet their high-dimensional, nonlinear dynamics pose major challenges for analysis and pred…
Topology optimization of nonlinear forced response curves via reduction on spectral submanifolds
Hongming Liang, Matteo Pozzi, Jacopo Marconi +2
Forced response curves (FRCs) of nonlinear systems can exhibit complex behaviors, including hardening/softening behavior and bifurcations. Although topology optimization holds grea…
Adjoint Sensitivities for the Optimization of Nonlinear Structural Dynamics via Spectral Submanifolds
Matteo Pozzi, Jacopo Marconi, Shobhit Jain +2
This work presents an optimization framework for tailoring the nonlinear dynamic response of lightly damped mechanical systems using Spectral Submanifold (SSM) reduction. We derive…
Bifurcation analysis of quasi-periodic orbits of mechanical systems with 1:2 internal resonance via spectral submanifolds
Hongming Liang, Shobhit Jain, Mingwu Li
A 1:2 internally resonant mechanical system can undergo secondary Hopf (Neimark-Sacker) bifurcations, resulting in a quasi-periodic response when the system is subject to harmonic…