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Showing 1 to 2 of 2 for “"inertial manifold"”.
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Nucleation in the one-dimensional Cahn-Hilliard Model
… equation. The dynamics can be reduced to an inertial manifold. Using Conley index theory we study the fine structure of the global attractor. In particular we consider the basin of attraction D of the homogenuous solution. We show that the first spikes always lie on the boundary of D and …
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Inertial manifolds in biological systems
… In Nonlinear Dynamics, such functions are called Inertial Manifolds. They are defined as manifolds that are invariant under the flow of the dynamical system, and attract all trajectories exponentially. The first example gives rise to a generalisation of a theorem which, in the literature, is …