Author

Shobhit Jain

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Open access Aug 2026

Computing parameter-dependent invariant manifolds for data-free nonlinear model reduction

This work develops efficient computational expressions for invariant manifolds and their reduced dynamics that depend smoothly on system parameters, without shifting coordinates or introducing parameters as auxiliary variables and demonstrates the effectiveness of the method on a range of high-fidelity numerical models...

Shobhit Jain, Ming-Wu Li · Nonlinear dynamics · 1 citation

Jul 2026

Nonlinear model reduction of complex networks via spectral submanifolds

Across all the realizations, SSM/gSSM consistently outperform classical spectral and mean-field methods in modeling critical transitions at both microscopic and macroscopic scales, establishing SSM-based reduction as a robust, interpretable tool for nonlinear networked systems with broad applicability to epidemiology,...

K. Bhaskaran, Shobhit Jain, Mingwu Li · Physical Review E · 1 citation