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math.DS2019
Robust Chaos and the Continuity of Attractors
Paul A. Glendinning, David J. W. Simpson
As the parameters of a map are varied an attractor may vary continuously in the Hausdorff metric. The purpose of this paper is to explore the continuation of chaotic attractors. We…
math.DS2019★ 3 cited
Constructing robust chaos: invariant manifolds and expanding cones
Paul A. Glendinning, David J. W. Simpson
Chaotic attractors in the two-dimensional border-collision normal form (a piecewise-linear map) can persist throughout open regions of parameter space. Such robust chaos has been e…