Applications Of Centre Manifold Theory

By Marina Bosch. 2016

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The free energy principle made simpler but not too simple (2022, unknown): “One can formulate this along the lines of the centre manifold theorem [13,50], where we have a (fast) flow off the centre manifold and a (slow) flow of the autonomous mode on the manifold.”
A free energy principle for a particular physics (2019, background): “eters in synergetics that reflect the amplitude of slow, unstable eigenmodes (Haken, 1983). In terms of centre manifold theory, they correspond to solutions on the slow (unstable or centre) manifold (Carr, 1981; Davis, 2006). In brief, the Markov blanket of a particle constitutes a set of vector sta”
Numerical computation of nonlinear normal modes in mechanical engineering (2016, methodology): “The constructive approach for calculating NNMs was then inspired by the center manifold theory [107].”
Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations (2020, background): “Often a center manifold reduction reduces a higher dimensional problem to a lower dimensional one, and the normal form can be computed on the center manifold [9,26,40, 57].”