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physics.flu-dyn2020
A theoretical framework for Koopman analyses of fluid flows, part 2: from linear to nonlinear dynamics
Wei Zhang, Mingjun Wei
A theoretic framework for dynamics is obtained by transferring dynamics from state space to its dual space. As a result, the linear structure where dynamics are analytically decomp…
physics.flu-dyn2020★ 1 cited
A theoretical framework for Koopman analyses of fluid flows, part 1: local Koopman spectrum and properties
Wei Zhang, Mingjun Wei
Local Koopman spectral problem is studied to resolve all dynamics for a nonlinear system. The proposed spectral problem is compatible with the linear spectral theory for various li…