For complex dynamical systems with periodic vector fields, Fourier-based Carleman linearization gives finite-section approximations that converge exponentially to the true solution, with explicit error bounds over a time horizon.
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Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds
For complex dynamical systems with periodic vector fields, Fourier-based Carleman linearization gives finite-section approximations that converge exponentially to the true solution, with explicit error bounds over a time horizon.