Boyland, Philip L.

33 papers

3720917
Boyland, Philip(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611 ; Severa, William(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Geometric representation of the infimax S-adic family. (English summary)
Fund. Math. 240 (2018), no. 1, 15-50.
37B10 (37E05)

3551584
Boyland, Philip(1-FL); de Carvalho, André(BR-SPL-AM); Hall, Toby(4-LVRP-AM)
On digit frequencies in $\beta$ $\beta$ -expansions. (English summary)
Trans. Amer. Math. Soc. 368 (2016), no. 12, 8633-8674.
11A63 (37B10 68R15)

3502068
Boyland, Philip(1-FL); de Carvalho, André(BR-SPL-AM); Hall, Toby(4-LVRP)
New rotation sets in a family of torus homeomorphisms. (English summary)
Invent. Math. 204 (2016), no. 3, 895-937.
37E30 (37E45)

3456599
Boyland, Philip(1-FL); de Carvalho, André(BR-SPL-AM); Hall, Toby(4-LVRP)
Symbol ratio minimax sequences in the lexicographic order. (English summary)
Ergodic Theory Dynam. Systems 35 (2015), no. 8, 2371-2396.
37B10

3104999
Boyland, Philip(1-FL); de Carvalho, André(BR-SPL-AM); Hall, Toby(4-LVRP)
Inverse limits as attractors in parameterized families. (English summary)
Bull. Lond. Math. Soc. 45 (2013), no. 5, 1075–1085.
37B45 (37E05 37E10 37E30 37E45 54H20)

2826939
Boyland, Philip(1-FL); Harrington, Jason(1-FL)
The entropy efficiency of point-push mapping classes on the punctured disk. (English summary)
Algebr. Geom. Topol. 11 (2011), no. 4, 2265–2296.
37Exx

2545012
Boyland, Philip(1-FL)
Transitivity of surface dynamics lifted to abelian covers. (English summary)
Ergodic Theory Dynam. Systems 29 (2009), no. 5, 1417--1449.
37Bxx

2350285
Band, Gavin(4-LVRP); Boyland, Philip(1-FL)
The Burau estimate for the entropy of a braid. (English summary)
Algebr. Geom. Topol. 7 (2007), 1345--1378.
37E30 (20F36 37B40)

2199172
Boyland, Philip(1-FL)
Semiconjugacies to angle-doubling. (English. English summary)
Proc. Amer. Math. Soc. 134 (2006), no. 5, 1299--1307 (electronic).
37E10 (37C15)

2179496
López, Vanessa(1-IL-C); Boyland, Philip(1-FL); Heath, Michael T.(1-IL-C); Moser, Robert D.(1-IL-MC)
Relative periodic solutions of the complex Ginzburg-Landau equation. (English. English summary)
SIAM J. Appl. Dyn. Syst. 4 (2005), no. 4, 1042--1075 (electronic).
35B10 (35Q55 65Mxx)

2160808
Boyland, Philip(1-FL)
Dynamics of two-dimensional time-periodic Euler fluid flows. (English. English summary)
Topology Appl. 152 (2005), no. 1-2, 87--106.
37E30 (37N10 76B99)

1957906
Boyland, Philip(1-FL); Stremler, Mark(1-VDB-ME); Aref, Hassan(1-IL-MC)
Topological fluid mechanics of point vortex motions. (English. English summary)
Phys. D 175 (2003), no. 1-2, 69--95.
76B47 (37N10 58Cxx 76M99)

1999083
Boyland, Philip(1-FL)
Fluid mechanics and mathematical structures. (English. English summary)
An introduction to the geometry and topology of fluid flows (Cambridge, 2000), 105--134,
NATO Sci. Ser. II Math. Phys. Chem., 47,
Kluwer Acad. Publ., Dordrecht, 2001.
37Nxx (53C80 76Bxx)

1802657
Boyland, Philip(1-FL)
New dynamical invariants on hyperbolic manifolds. (English. English summary)
Israel J. Math. 119 (2000), 253--289.
37D40 (37E45)

1742169
Boyland, Philip L.(1-FL); Aref, Hassan(1-IL-MC); Stremler, Mark A.(1-IL-MC)
Topological fluid mechanics of stirring. (English. English summary)
J. Fluid Mech. 403 (2000), 277--304.
76F20 (37E99 37N10 57M25)

1732369
Boyland, Philip(1-FL)
Isotopy stability of dynamics on surfaces. (English. English summary)
Geometry and topology in dynamics (Winston-Salem, NC, 1998/San Antonio, TX, 1999), 17--45,
Contemp. Math., 246,
Amer. Math. Soc., Providence, RI, 1999.
37E30 (37B20 54H20 55M20)

1727015
Aref, H.(1-IL-MC); Boyland, P. L.(1-FL); Stremler, M. A.(1-IL-MC); Vainchtein, D. L.(1-IL-MC)
Turbulent statistical dynamics of a system of point vortices.
Fundamental problematic issues in turbulence (Monte Verita, 1998), 151--161,
Trends Math.,
Birkhäuser, Basel, 1999.
76F55 (76B47)

1721614
Boyland, Philip(1-FL); Golé, Christophe(1-SMTH)
Lagrangian systems on hyperbolic manifolds. (English. English summary)
Ergodic Theory Dynam. Systems 19 (1999), no. 5, 1157--1173.
37J50 (37C50 53D25 58E10)

1720886
Boyland, Philip(1-FL); Golé, Christophe(1-SMTH)
Dynamical stability in Lagrangian systems. (English. English summary)
Hamiltonian systems with three or more degrees of freedom (S'Agaró, 1995), 90--114,
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 533,
Kluwer Acad. Publ., Dordrecht, 1999.
37J50 (37C50 53D25 58E30)

1710169
Boyland, Philip(1-FL); Hall, Toby(4-LVRP)
Isotopy stable dynamics relative to compact invariant sets.
Proc. London Math. Soc. (3) 79 (1999), no. 3, 673--693.
37C25 (55M20 57M60)

1419453
Boyland, Philip(1-SUNYS-IM)
Dual billiards, twist maps and impact oscillators. (English. English summary)
Nonlinearity 9 (1996), no. 6, 1411--1438.
58F99

1288300
Boyland, Philip(1-SUNYS-IM)
Topological methods in surface dynamics. (English. English summary)
Topology Appl. 58 (1994), no. 3, 223--298.
57N05 (58F20)

1257024
Boyland, Philip(1-SUNYS-IM)
Weak disks of Denjoy minimal sets. (English. English summary)
Ergodic Theory Dynam. Systems 13 (1993), no. 4, 597--614.
58F11 (28D05)

1222976
Boyland, Philip(1-SUNYS-IM); Guaschi, John(F-NICES-NL); Hall, Toby(F-NICES-NL)
L'ensemble de rotation des homéomorphismes pseudo-Anosov. (French. English, French summary) [Rotation sets of relative pseudo-Anosov maps]
C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), no. 10, 1077--1080.
58F20 (34C35 54H20)

1219350
Boyland, Philip
The rotation set as a dynamical invariant. (English. English summary)
Twist mappings and their applications, 73--86,
IMA Vol. Math. Appl., 44,
Springer, New York, 1992.
58F08 (58F22)

1161281
Boyland, Philip(1-SUNYS)
Rotation sets and monotone periodic orbits for annulus homeomorphisms.
Comment. Math. Helv. 67 (1992), no. 2, 203--213.
58F20 (58F15)

986261
Boyland, Philip(1-MAIN)
An analog of Sharkovski's theorem for twist maps.
Hamiltonian dynamical systems (Boulder, CO, 1987), 119--133,
Contemp. Math., 81,
Amer. Math. Soc., Providence, RI, 1988.
58F22 (54H20)

967628
Boyland, Philip L.(1-MAIN)
Rotation sets and Morse decompositions in twist maps.
Ergodic Theory Dynam. Systems 8$\sp *$ (1988), Charles Conley Memorial Issue, 33--61.
58F20 (58F12)

918405
Boyland, Philip L.(1-BOST)
Invariant circles and rotation bands in monotone twist maps.
Comm. Math. Phys. 113 (1987), no. 1, 67--77.
58F27 (34C35 54H20 58F22)

880504
Boyland, Philip L.(1-BOST); Hall, Glen Richard(1-BOST)
Invariant circles and the order structure of periodic orbits in monotone twist maps.
Topology 26 (1987), no. 1, 21--35.
58F05 (54H20)

859816
Boyland, Philip L.(1-BOST)
Bifurcations of circle maps: Arnol\cprime d tongues, bistability and rotation intervals.
Comm. Math. Phys. 106 (1986), no. 3, 353--381.
58F14 (58F20)