Constructs a trapping region and invariant expanding cone to prove robust chaos and characterize the attractor in the border-collision normal form for the 1998 Banerjee-Yorke-Grebogi parameter regime.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.DS 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
Conditions are obtained for continuity of chaotic attractors in piecewise-smooth maps, strengthening the notion of robust chaos beyond what holds for smooth unimodal maps.
citing papers explorer
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Constructing robust chaos: invariant manifolds and expanding cones
Constructs a trapping region and invariant expanding cone to prove robust chaos and characterize the attractor in the border-collision normal form for the 1998 Banerjee-Yorke-Grebogi parameter regime.
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Robust Chaos and the Continuity of Attractors
Conditions are obtained for continuity of chaotic attractors in piecewise-smooth maps, strengthening the notion of robust chaos beyond what holds for smooth unimodal maps.