Neural ODEs can approximate Morse-Smale and continuous-attractor dynamical systems over infinite time in an ε-δ sense, provided limit-cycle periods are matched exactly.
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Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees
Neural ODEs can approximate Morse-Smale and continuous-attractor dynamical systems over infinite time in an ε-δ sense, provided limit-cycle periods are matched exactly.