Smooth Dynamics on Weierstrass Nowhere Differentiable Curves

DOI10.2307/2001663zbMath0731.58040OpenAlexW4234412711MaRDI QIDQ3357146

Brian R. Hunt, James A. Yorke

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001663

zbMATH Keywords

invariant setsbasin of attractionsmooth dynamicsfacadeunstable period orbitWeierstraß nowhere differentiable curves

Mathematics Subject Classification ID

Topological dynamics (37B99) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Lacunary series of trigonometric and other functions; Riesz products (42A55) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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Cites Work

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• Basin boundary metamorphoses: Changes in accessible boundary orbits
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