The application of centre manifolds to amplitude expansions. I. Ordinary differential equations
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Publication:796719
DOI10.1016/0022-0396(83)90077-3zbMath0544.34038OpenAlexW1968072005MaRDI QIDQ796719
Jack Carr, Robert G. Muncaster
Publication date: 1983
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(83)90077-3
Related Items (13)
Initial conditions for models of dynamical systems ⋮ A generalized sideband stability theory via center manifold projection ⋮ Amplitude Expansions and Normal Forms in a Model tor Thermohaline Convection ⋮ Weakly nonlinear stability of Hartmann boundary layers ⋮ Coarse variables of autonomous ODE systems and their evolution ⋮ Propagating fronts and the center manifold theorem ⋮ On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type ⋮ Holistic discretization ensures fidelity to Burgers' equation ⋮ Spanwise pairing of finite-amplitude longitudinal vortex rolls in inclined free-convection boundary layers ⋮ Invariant manifolds in mechanics. I. The general construction of coarse theories from fine theories ⋮ Invariant manifolds in mechanics. II. Zero-dimensional elastic bodies with directors ⋮ The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems ⋮ Lyapunov–Schmidt and Centre Manifold Reduction Methods for Nonlocal PDEs Modelling Animal Aggregations
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