Knotted periodic orbits in suspensions of annulus maps

DOI10.1098/rspa.1987.0071zbMath0642.58039OpenAlexW2033991138MaRDI QIDQ3784903

Philip J. Holmes

Publication date: 1987

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1987.0071

zbMATH Keywords

rotation numbersknotted periodic orbitsresonant torus knotssuspensions of annulus maps

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

A zeta function for flows with positive templates ⋮ Braids and linked periodic orbits of disc homeomorphisms ⋮ Non-monotone periodic orbits of a rotational horseshoe ⋮ Knotted periodic orbits in suspensions of Smale's horseshoe: Extended families and bifurcation sequences ⋮ From template analysis to generating partitions. I: Periodic orbits, knots and symbolic encodings ⋮ Contact topology and hydrodynamics III: knotted orbits

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