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math.DS2026
Non-intrusive spectral submanifold model reduction for geometrically nonlinear rotating structures with Coriolis and centrifugal forces
Hejun Gao, Yiliang Wang, Yan Qing Wang +2
Rotating structures are widely observed in engineering applications such as turbomachinary and wind turbine. These rotating structures, particularly for blades made by lightweight…
math.DS2025
Model reduction of nonlinear time-delay systems via ODE approximation and spectral submanifolds
Yuan Tang, Mingwu Li
Time-delay dynamical systems inherently embody infinite-dimensional dynamics, thereby amplifying their complexity. This aspect is especially notable in nonlinear dynamical systems,…
math.DS2025
General multi-steps variable-coefficient formulation for computing quasi-periodic solutions with multiple base frequencies
Junqing Wu, Ling Hong, Mingwu Li +1
Quasi-periodic solutions with multiple base frequencies exhibit the feature of -periodicity with respect to each of the hyper-time variables. However, it remains a challenge wo…