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      Invariant manifolds in singular perturbation problems for ordinary differential equations

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          Synopsis

          Based on Fenichel's geometric idea, invariant manifold theory is applied to singular perturbation problems. This approach clarifies the nature of outer and inner solutions. A specific condition is given to ensure the existence of heteroclinic connections between normally hyperbolic invariant manifolds. A method to approximate the connections is also presented.

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          Geometric Theory of Semilinear Parabolic Equations

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            Exponential dichotomies and transversal homoclinic points

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              Invariant manifolds for flows in Banach spaces

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                Author and article information

                Journal
                applab
                Proceedings of the Royal Society of Edinburgh: Section A Mathematics
                Proceedings of the Royal Society of Edinburgh: Section A Mathematics
                Cambridge University Press (CUP)
                0308-2105
                1473-7124
                1990
                November 14 2011
                1990
                : 116
                : 1-2
                : 45-78
                Article
                10.1017/S0308210500031371
                b5b68371-3b47-4be6-a500-7765cab65f11
                © 1990
                History

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