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- W2002205687 abstract "We present an equivalent low-order model for a simple PDE system that exhibits interesting low-dimensional dynamics with a rich variety of homoclinic phenomena and whose effective dimension may be gradually increased by means of system parameters. The system is a linear heat equation subject to a nonlinear and nonlocal boundary condition and the reduction procedure is based on a finite element method. We will show that both the PDE and ODE systems have indentical stationary solution with a very similar linear stability behaviour and exhibit also very similar dynamics, at least within parameter ranges corresponding to physical devices." @default.
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- W2002205687 date "1996-08-01" @default.
- W2002205687 modified "2023-09-27" @default.
- W2002205687 title "Equivalent low-order model for a nonlinear diffusion equation" @default.
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- W2002205687 doi "https://doi.org/10.1016/0167-2789(96)00068-1" @default.
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