Kernel methods for center manifold approximation and a data-based version of the Center Manifold Theorem
Bernard Haasdonk,
Boumediene Hamzi,
Gabriele Santin
et al.
Abstract:For dynamical systems with a non hyperbolic equilibrium, it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory allows to isolate the complicated asymptotic behavior of the system close to the equilibrium point and to obtain meaningful predictions of its behavior by analyzing a reduced order system on the so-called center manifold.Since the center manifold is usually not known, good approximation methods are important as the center manifold theorem s… Show more
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