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Philip Boyland | Researchclopedia

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Philip Boyland

60

Works

1,052

Citations

13

h-index

19

i10-index

Research Topics

Mathematical Dynamics and Fractals Quantum chaos and dynamical systems Geometric and Algebraic Topology

Affiliations

Boston University1986–1987

State University of New York1992–1992

Maharishi International University1988–1988

Smith College1999–1999

University of Florida1996–2024

Top Works

Topological fluid mechanics of stirring

Philip Boyland,Hassan Aref,et al.

2000174 citations

Nonlinear Dynamics and Pattern Formation

Topological and Geometric Data Analysis

Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals

1986171 citations

Topological methods in surface dynamics

1994159 citations

Topological fluid mechanics of point vortex motions

Philip Boyland,Mark A. Stremler,et al.

2002128 citations

Dual billiards, twist maps and impact oscillators

199652 citations

Invariant circles and the order structure of periodic orbits in monotone twist maps

Philip Boyland,Glen R. Hall

198744 citations

Rotation sets and monotone periodic orbits for annulus homeomorphisms

199233 citations

New rotation sets in a family of torus homeomorphisms

Philip Boyland,André de Carvalho,et al.

201532 citations

Isotopy stability of dynamics on surfaces

199928 citations