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manifold
(redirected from Manifold theory)

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It includes most of the basic results in manifold theory, as well as some key facts from point set topology and Lie group theory.
For certain classes of dissipative dynamical systems [1] (see examples therein) inertial manifold theory allows for the reduction of the infinite-dimensional dynamics to a finite-dimensional system of ordinary differential equations referred to as inertial form which shares all the long term dynamics of the original problem [2], [3].
 
 
 
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