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math.DS2004
Semiconjugacies to angle-doubling
Philip Boyland
A simple consequence of a theorem of Franks says that whenever a continuous map, , is homotopic to angle doubling on the circle it is semiconjugate to it. We show that when this…
math.DS2003
Dynamics of two-dimensional time-periodic Euler fluid flows
Philip Boyland
This paper investigates the dynamics of time-periodic Euler flows in multi-connected, planar fluid regions which are ``stirred'' by the moving boundaries. The classical Helmholtz t…
math.DS1999
Isotopy Stability of Dynamics on Surfaces
Philip Boyland
This paper investigates dynamics that persist under isotopy in classes of orientation-preserving homeomorphisms of orientable surfaces. The persistence of periodic points with resp…