The Utility of an Invariant Manifold Description of the Evolution of a Dynamical System
From MaRDI portal
Publication:4728675
DOI10.1137/0520094zbMath0679.34061OpenAlexW1964440321MaRDI QIDQ4728675
Publication date: 1989
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0520094
Applications of dynamical systems (37N99) Initial value problems for linear higher-order PDEs (35G10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99) Higher-order parabolic equations (35K25)
Related Items
A holistic finite difference approach models linear dynamics consistently, On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism, A complete model of shear dispersion in pipes, Initial conditions for models of dynamical systems, Subharmonic instabilities of finite-amplitude monochromatic waves, Forced-convergence iterative schemes for the approximation of invariant manifolds, The quasi-steady-state approximations revisited: timescales, small parameters, singularities, and normal forms in enzyme kinetics, Choose inter-element coupling to preserve self-adjoint dynamics in multiscale modelling and computation, Low-dimensional models of thin film fluid dynamics., Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer, The invariant manifold of beam deformations. I: The simple circular rod, Holistic discretization ensures fidelity to Burgers' equation, Spanwise pairing of finite-amplitude longitudinal vortex rolls in inclined free-convection boundary layers, Parameterization Method for Unstable Manifolds of Standing Waves on the Line, Analysis of nonlinear behaviour of shallow drought estuaries using the Stommel model, Bifurcations of mode equations: Spin waves, Dimensionality Reduction of Dynamical Systems with Parameters: A Geometric Approach
