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On a gradient-like integro-differential equation
Published online by Cambridge University Press: 14 November 2011
Synopsis
Under appropriate conditions on b and a function g with 2k +1 simple zeros, the equation
has a maximal compact invariant set Ab,g in C([−1,0]R), consisting of the zeros of g and the one-dimensional unstable manifolds of these zeros. For k =2, it is shown that there may be a saddle connection in the flow on Ab,g for some g. This implies that the zeros of g as elements of the flow on Ab,g cannot be given the natural order of the reals.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 92 , Issue 1-2 , 1982 , pp. 77 - 85
- Copyright
- Copyright © Royal Society of Edinburgh 1982
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