Low-dimensional modelling of dynamics via computer algebra
DOI10.1016/S0010-4655(96)00162-2zbMath0927.65145arXivchao-dyn/9604012OpenAlexW3103196485WikidataQ29542417 ScholiaQ29542417MaRDI QIDQ1292597
Publication date: 6 December 1999
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/chao-dyn/9604012
dynamical systemsbifurcationcomputer algebralong-wave approximationcentre manifoldthin fluid filmlow-dimensional modelling
Symbolic computation and algebraic computation (68W30) Dynamical systems involving maps of the interval (37E05) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)
Related Items (21)
Cites Work
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- The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems
- Perturbation methods, bifurcation theory and computer algebra
- Asymptotic dynamical equations for an ensemble of nonlinear dispersive waves
- Applications of centre manifold theory
- The elements of a nonlinear theory of economic dynamics
- The invariant manifold of beam deformations. I: The simple circular rod
- A complete model of shear dispersion in pipes
- A center-stable manifold theorem for differential equations in Banach spaces
- Initial conditions for models of dynamical systems
- Low-dimensional models of thin film fluid dynamics.
- Amplitude Equations for Systems with Competing Instabilities
- Centre manifolds of forced dynamical systems
- A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
- A Centre Manifold Description of Contaminant Dispersion in Channels with Varying Flow Properties
- The dynamics of triple convection
- The application of centre-manifold theory to the evolution of system which vary slowly in space
- Boundary conditions for approximate differential equations
- Normal Modes for Non-Linear Vibratory Systems
- Appropriate initial conditions for asymptotic descriptions of the long term evolution of dynamical systems
- Dispersion of chemical solutes in chromatographs and reactors
- The Accurate Dynamic Modelling of Contaminant Dispersion in Channels
- An accurate and comprehensive model of thin fluid flows with inertia on curved substrates
- A review of algebraic manipulative programs and their application
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