A Note on the Dynamics of Piecewise-Autonomous Bistable Parabolic Equations
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چکیده
For a family of piecewise-autonomous one-dimensional bistable parabolic equations, with vanishing diffusion and Neumann boundary conditions, we determine the number and Morse indices of their equilibria as a function of the number of subintervals where the equations are autonomous. We conjecture how to build their attractors in a recursive way as the number of subintervals increases.
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تاریخ انتشار 2007