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Reference.org
Center manifold
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<p>In the mathematics of evolving systems, the concept of a center manifold was originally developed to determine stability of degenerate equilibria. Subsequently, the concept of center manifolds was realised to be fundamental to <a href="/facts/Mathematical_model/CGhyuxgz">mathematical modelling</a>. </p><p>Center manifolds play an important role in <a href="/facts/Bifurcation_theory/sLsN54Rn">bifurcation theory</a> because interesting behavior takes place on the center manifold and in <a href="/facts/Multiscale_mathematics/PkxUJ6FN">multiscale mathematics</a> because the long time dynamics of the micro-scale often are attracted to a relatively simple center manifold involving the coarse scale variables. </p>