5 citations · 5 across the 2 of their papers we have counts for
3 papers
physics.soc-ph2026
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…
math.OC2025
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…
nlin.CD2024★ 5 cited
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…