# A constructive approach to robust chaos using invariant manifolds and expanding cones

@article{Glendinning2021ACA,
title={A constructive approach to robust chaos using invariant manifolds and expanding cones},
author={Paul Glendinning and David J. W. Simpson},
journal={Discrete \& Continuous Dynamical Systems},
year={2021}
}
• Published 2021
• Mathematics
• Discrete & Continuous Dynamical Systems
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 established rigorously in some parameter regimes. Here we provide formal results for robust chaos in the original parameter regime of [S. Banerjee, J.A. Yorke, C. Grebogi, Robust Chaos, Phys. Rev. Lett. 80(14):3049-3052, 1998]. We first construct a trapping region in phase space to prove the existence of a topological…
7 Citations

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