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A Distributional Approach to Asymptotics : Theory and Applications
Integral averaging and bifurcation. Differential Equat 26 1 : Carles, N. Mauser, and H. Semi classical limit of the Hartree equation with harmonic potential.
A Distributional Approach to Asymptotics : Ricardo Estrada :
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Unitary transformations depending on a small parameter. Asymptotics and Borel Summability. Multiple time scale formalism and its application to long water waves. Canonical transformations depending on a small parameter.
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A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics. Annals Math. Dolgopyat and L. Averaging of incompressible flows on two-dimensional surfaces. Doelman, A. Koenderink, and L. Quasi-periodically forced nonlinear Helmholtz oscillators. Dobrokhotov and D. On various averaging methods for a nonlinear oscillator with slow time-dependent potential and a nonconservative perturbation. Dodson, B. Rynne, and J. Dumortier and B. Transition time analysis in singularly perturbed boundary value problems.
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Fundamental concepts of matching. Eckhaus and E. Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type. Theory and Applications of Singular Perturbations. An alternative example of the method of multiple scales.
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Estrada and R. A distributional theory for asymptotic expansions. R Soc. London A Ermentrout and N. Multiple pulse interactions and averaging in systems of coupled neural oscillators. A distributional approach to the boundary layer theory. Asymptotic Expansions. Ellison, A. Improved N-th order averaging theory for periodic systems.