E-MAIL: dynamics@math.uh.edu PHONE: 713-743-3512 FAX: 713-743-3505
[Abstract]
D. Chillingworth and M. Golubitsky. Pattern Formation for a Planar Layer
of Nematic Liquid Crystal. . Preprint.
[hous3.pdf 968K]
[Abstract]
M. Golubitsky, L-J. Shiau, and A. Torok. Bifurcation on the visual
cortex with weakly anisotropic lateral coupling. SIAM J. Appl.
Dynam. Sys. To appear.
[hallucinate.ps.gz 6.6M]
[Abstract]
H.W. Broer, M. Golubitsky, and G. Vegter. The geometry of resonance tongues: a
singularity theory approach. Nonlinearity. Submitted.
[bgv.pdf 278K]
[Abstract]
M. Golubitsky and D. Chillingworth. Bifurcation and planar pattern
formation for a liquid crystal . To appear.
[bporto.ps.gz 461K]
[Abstract]
P.C. Bressloff, J.D. Cowan, M. Golubitsky, P.J. Thomas, and
M.C. Wiener. What geometric visual hallucinations tell us
about the visual cortex. Neural Computation. To appear.
[nc.pdf 1.7MB]
[Abstract]
M. Golubitsky and I. Stewart. Patterns of oscillation
in coupled cell systems. In: Geometry, Dynamics, and
Mechanics: 60th Birthday Volume for J.E. Marsden (P. Holmes,
P. Newton, and A. Weinstein, eds.) Springer-Verlag. To appear.
[Paper.ps.gz 203K]
[Abstract]
M. Golubitsky, K. Josic, and T.J. Kaper. An unfolding theory
approach to bursting in fast-slow systems. In: Global Analysis
of Dynamical Systems: Festschrift dedicated to Floris Takens on the
occasion of his 60th birthday (H.W. Broer, B. Krauskopf and
G. Vegter, eds.), Institute of Physics Publ., 2001, 277-308.
[bursting12.ps.gz 662K]
[Abstract]
M. Golubitsky and I. Melbourne, A Symmetry Classification of Columns.
Visual Mathematics. 3 No. 1 (2001)
[Online HTML Paper]
[Abstract]
P.C. Bressloff, J.D. Cowan, M. Golubitsky, P.J. Thomas, and
M.C. Wiener. Geometric visual hallucinations, Euclidean symmetry, and
the functional architecture of striate cortex. Phil. Trans. Royal
Soc. London B 356 (2001) 299-330.
[Paper.pdf 4.6MB]
[Abstract]
P.C. Bressloff, J.D. Cowan, M. Golubitsky, and P.J. Thomas. Scalar
and pseudoscalar bifurcations motivated by pattern formation on the
visual cortex. Nonlinearity 14 (2001) 739-775.
[Paper.ps.gz 626K]
[Abstract]
P.L. Buono and M. Golubitsky. Models of central pattern generators
for quadruped locomotion: I. primary gaits. J. Math. Biol.
42 No. 4 (2001) 291-326.
[Paper.ps.gz 539K]
[Abstract]
P.L. Buono, M. Golubitsky and A. Palacios. Heteroclinic cycles in
rings of coupled cells. Physica D 143 (2000) 74-108.
[Abstract]
D. Barkley, L.S. Tuckerman and M. Golubitsky. Bifurcation theory for
three-dimensional flow in the wake of a circular cylinder.
Phys. Rev. E. 61 No. 5 (2000) 5247-5252.
[Paper.pdf 72K]
[Abstract]
M. Field, Ergodicity and robustness of symmetric attractors,
Proc Equadiff, Berlin 1999, submitted.
[Abstract]
M. J. Field, Generators for compact Lie groups, to appear in Proc.
Amer. Math. Soc.
[Abstract]
M. Golubitsky, E. Knobloch, and I. Stewart,
Target Patterns and Spirals in Planar Reaction-Diffusion Systems,
J. Nonlinear Sci. 10 (2000) 333-354.
[Abstract]
M. Golubitsky, V.G. LeBlanc and I. Melbourne, Hopf Bifurcation from
Rotating Waves and Patterns in Physical Space
J. Nonlin. Sci. 10 (2000) 69-101.
[Abstract]
M. Golubitsky, I. Stewart, P.L. Buono and J.J. Collins. The Role of
Symmetry in Locomotor Central Pattern Generators and Animal Gaits.
Nature. 401 (1999) 693-695.
[Paper.pdf 158K]
[Abstract]
C. N. Jensen, M. Golubitsky, and H. True. Symmetry, generic
bifurcations, and mode interaction in nonlinear railway dynamics,
International Journal of Bifurcation and Chaos. 9
No. 7 (1999) 1321-1331. See also: IUTAM Symposium on New
Applications of Nonlinear and Chaotic Dynamics in Mechanics (F.C.
Moon, Ed.) Kluwer Acad. Publ., 1999, 387-396.
[Abstract]
P-L. Buono, M. Golubitsky and A. Palacios, Heteroclinic Cycles in
Systems with D_n Symmetry. In:
Bifurcation Theory and its Numerical Analysis (Z. Chen, S-N Chow and
K. Li, eds), Springer-Verlag Singapore Pte. Ltd., 1999, 13-27.
[Paper.ps.gz 354K]
[Abstract]
P. Ashwin and M. J. Field, Heteroclinic networks in coupled cell systems,
Arch. Rat. Mech. and Anal.( 148) (1999), 107-143.
[ ]
M J Field and W Parry, Stable ergodicity of skew extensions by compact
Lie groups Topology 38(1), (1999), 167-187.
[Abstract] M J Field,
Heteroclinic cycles in symmetrically coupled systems. In: Pattern
Formation in Continuous and Coupled Systems, (M. Golubitsky, D. Luss
and S.H. Strogatz, eds.) IMA Volumes in Mathematics and its Applications
115, Springer, New York, 1999, 49-64.
[Abstract]
M. Golubitsky and I. Stewart, Symmetry and Pattern Formation in Coupled
Cell Networks. In: Pattern Formation in Continuous and Coupled
Systems, (M. Golubitsky, D. Luss and S.H. Strogatz, eds.) IMA Volumes
in Mathematics and its Applications 115, Springer, New York, 1999,
65-82. [Paper.ps.gz 93K]
[Abstract]
M. Golubitsky, I. Stewart, P.L. Buono and J.J. Collins. A modular
network for legged locomotion. Physica D. 115(1998) 56-72.
[Abstract]
M. Golubitsky and I. Melbourne, A Symmetry Classification of Columns.
In: Bridges: Mathematical Connections in Art, Music, and Science,
(Reza Sarhangi, ed.), 1998 Bridges Conference (1998) 209-223.
[Paper.ps.gz 1.27Mb]
[Abstract]
D. Gillis and M. Golubitsky, Patterns in square arrays of coupled cells.
JMAA. 208 (1997) 487-509.
[Abstract]
D. Gillis and M. Golubitsky, An Algorithm for Symmetry Detectives.
Physica D . 107 (1997) 23-29.
[Abstract]
M. Golubitsky, V.G. LeBlanc and I. Melbourne, Meandering of the Spiral
Tip: An Alternative Approach. J. Nonlin. Sci. 7, No. 6
(1997) 555-586.
[Abstract]
C. Hou and M. Golubitsky, An example of symmetry breaking
to heteroclinic cycles, J. Diff. Eqn. 133 No. 1 (1997) 30-48.
[Abstract]
B. Dionne, M. Golubitsky and I. Stewart, Coupled cells with internal
symmetry Part I: wreath products. Nonlinearity 9 (1996) 559-574.
[Abstract]
B. Dionne, M. Golubitsky and I. Stewart, Coupled cells with internal
symmetry Part II: direct products. Nonlinearity 9 (1996) 575-599.
[Abstract]
M.J. Field, Symmetry breaking for equivariant maps. In: Algebraic groups
and Lie groups, Volume in Honour of R. W. Richardson,
Cambridge University Press, (1997), 219--253.
[Abstract]
M. Field, Lectures on Bifurcations, Dynamics and Symmetry,
Pitman Research Notes in Mathematics, 356, November 1996.
[Abstract]
M. Field, Symmetry breaking for compact Lie groups, Mem. Amer. Math.
Soc 574, 1996.
[Abstract]
M.J. Field, Geometric methods in bifurcation theory, In: Pattern formation
and symmetry breaking in PDEs. Fields Institute Communications, AMS,
5, 181-208.
[Abstract]
M. J. Field, I. Melbourne and M. Nicol, Symmetric Attractors for
Diffeomorphisms and Flows, Proc. London Math. Soc., 72
(1996) 657-696.
[Abstract]
M. Golubitsky, J.-M. Mao and M. Nicol, Symmetries of periodic
solutions for planar potential systems. Proc. Amer. Math. Soc.
124 (1996) 3219-3228.
[Abstract]
P. Chossat and M. J. Field, Geometric analysis of the effect of symmetry
breaking perturbations on an O(2) invariant homoclinic cycle, In: Normal
forms and Homoclinic Chaos. Fields Institute Communications, AMS, 4,
(1995), 21-42.
[Abstract]
M. Dellnitz, M. Field, M. Golubitsky, A. Hohmann and J. Ma. Cycling Chaos.
Intern. J. Bifur. & Chaos 5 No. 4 (1995) 1243-1247.
[Abstract]
M. Dellnitz, M. Golubitsky, A. Hohmann and I. Stewart,
Spirals in scalar reaction diffusion equations. Intern. J. Bifur.
& Chaos 5(6) (1995) 1487-1501.
[Abstract]
B. Dionne, M. Golubitsky, M. Silber and I. Stewart, Time-periodic
spatially-periodic planforms in Euclidean equivariant systems.
Phil. Trans. R. Soc. London A 352 (1995) 125-168.
[Abstract]
M. Field and M. Golubitsky, Symmetric chaos: how and why.
Notices AMS 42 No. 2 (1995) 240-244.
[Abstract]
M. Golubitsky, J. Marsden, I. Stewart and M. Dellnitz, The
constrained Liapunov-Schmidt procedure and periodic orbits. Fields
Institute Proceedings. 4 (1995) 81-127.
[Abstract]
M. Golubitsky and M. Nicol, Symmetry Detectives for SBR attractors.
Nonlinearity 8 (1995) 1027-1037.
[Abstract]
M. Dellnitz, M. Golubitsky and M. Nicol, Symmetry of Attractors and the
Karhunen-Loeve Decomposition. In: Trends and Perspectives in
Applied Mathematics (L. Sirovich, ed.) Appl. Math. Sci.
100, Springer-Verlag, New York, 1994, 73-108.
[Abstract]
M. J. Field, Determinacy and branching patterns for the equivariant Hopf
bifurcation, Nonlinearity, 7 (1994), 403-415.
[Abstract]
M. J. Field,
Blowing-up in equivariant bifurcation theory. In:
Dynamics, Bifurcation and Symmetries: New Trends and New Tools
(P. Chossat and
J.-M. Gambaudo, Eds) NATO ARW Series, Kluwer, Amsterdam (1994), 111-122.
[Abstract]
M. Field, M. Golubitsky and M. Nicol, A note on symmetries of
invariant sets with compact group actions. In: Equadiff 8.
Tatra Mountains Math. Publ. 4 (1994) 93-104.
[Abstract]
M. J. Field and J. W. Swift,
Hopf bifurcation and the Hopf fibration,
Nonlinearity, 7 (1994), 385-402.
[Abstract]
M. Golubitsky, I. Stewart and B. Dionne, Coupled cells:
wreath products and direct products. In: Dynamics, Bifurcation and
Symmetry (P. Chossat, ed.) NATO ARW Series, Kluwer, Amsterdam, 1994,
127-138.
[Abstract]
E. Barany, M. Dellnitz and M. Golubitsky, Detecting the
symmetry of attractors. Physica D 67 (1993) 66-87.
[Abstract]
I.R. Epstein and M. Golubitsky, Symmetric patterns in linear
arrays of coupled cells. Chaos 3(1) (1993) 1-5.
[Abstract]
M. Field and M. Golubitsky, Symmetries on the edge of chaos.
New Scientist, 1855, January 9, 1993, 32-35.
[Abstract]
M. Golubitsky and I.Stewart, An algebraic criterion for
symmetric Hopf bifurcation. Proc. R. Soc. London. 440 (1993)
727-732.
[Abstract]
I. Melbourne, M. Dellnitz and M. Golubitsky, The structure of
symmetric attractors. Arch. Rational Mech. Anal. 123
(1993) 75-98.
[ ]
[Abstract]
E. Barany, M. Golubitsky and J. Turski. Bifurcations with
local gauge symmetries in the Ginzburg-Landau equations. Physica
D56 (1992) 36-56.
[Abstract]
M. Dellnitz, M. Golubitsky and I. Melbourne, Mechanisms of
symmetry creation. In: Bifurcation and Symmetry (E. Allgower,
K. Boehmer and M. Golubitsky, eds.), ISNM 104, Birkhausser,
Basel, 1992, 99-109.
[Paper.ps.gz 217K]
[Abstract]
B. Dionne and M. Golubitsky, Planforms in two and three
dimensions. ZAMP. 43 (1992) 36-62.
[Abstract]
W.W. Farr and M. Golubitsky, Rotating chemical waves in the
Gray-Scott model. SIAM J. Appl. Math. . 52 No.1
(1992) 181-221.
[ ]
German translation by Micha Lotrovsky: Chaotische Symmetrien,
Birkhauser Verlag, Basel, 1993.
French translation by Christian Jeanmougin: La Symetrie du
Chaos, InterEditions, Paris, 1993.
[ ]
M. J. Field and R. W. Richardson,
Symmetry breaking and branching patterns in
equivariant bifurcation theory I, Arch. Rational Mech. & Anal.
118 (1992), 297-348.
[ ]
M. J. Field and R. W. Richardson,
Symmetry breaking and branching patterns in
equivariant bifurcation theory II,
Arch. Rational Mech. & Anal.
120 (1992), 147-190.
[ ]
German translation by Hanjo Schnug: Denkt Gott symmetrisch? Das
Ebenmass in Mathematik und Natur, Birkhauser Verlag, Basel, 1993.
Dutch translation by Hans van Cuijlenborg: Turings tijger,
Epsilon Uitgaven, Utrecht, 1994.
Italian translation by Libero Sosio: Terribili simmetrie Dio e un
geometra? , Saggi Scientifici, Bollati Borighieri, Torino 1995.
Es Dios un geometra?, Spanish translation by Mercedes Garcia
Garmilla, CRITICA, Barcelona, 1995.
Japanese translation, Tuttle-Mori Agency Inc., Tokyo, 1995.
Greek translation, 1995.
[Abstract]
D.G. Aronson, M. Golubitsky and M. Krupa, Large arrays of
Josephson junctions and iterates of maps with S_n symmetry.
Nonlinearity. 4 (1991) 861-902.
[Abstract]
D.G. Aronson, M. Golubitsky and J. Mallet-Paret, Ponies on a
merry-go-round in large arrays of Josephson junctions.
Nonlinearity. 4 (1991) 903-910.
[Abstract]
J.D. Crawford, M.Golubitsky, M.G.M. Gomes, E. Knobloch and
I.N. Stewart, Boundary conditions as symmetry constraints.
Singularity Theory and Its Applications, Warwick 1989, Part II.
(M. Roberts and I.N. Stewart, eds), Lecture Notes in Math. 1463,
Springer-Verlag, Heidelberg, 1991, 63-79.
[Abstract]
M. J. Field,
Local structure of equivariant dynamics, Singularities, Bifurcations, and
Dynamics, Proceedings of Symposium on Singularity Theory and its
Applications, Warwick, 1989 (eds. R. M. Roberts and I. N. Stewart),
Lect. Notes in Math. 1463, Springer-Verlag, Heidelberg (1991),
168-195.
[Abstract]
M. Field, M. Golubitsky and I.N. Stewart, Bifurcations on
hemispheres. J. Nonlinear Science 1 (1991) 201-223.
[Abstract]
M. J. Field and J. W. Swift.
Stationary bifurcation to limit cycles and heteroclinic cycles,
Nonlinearity 4 (1991), 1001-1043.
[Abstract]
M. Golubitsky, Genericity, bifurcation and symmetry. In:
Patterns and Dynamics in Reactive Media (H.L. Swinney, R. Aris
and D.G. Aronson, eds.). IMA Volumes in Mathematics and its
Applications, Volume 37. Springer-Verlag, New York, 1991, 71-88.
[Abstract]
M. Golubitsky, M. Krupa and C. Lim, Time-reversibility and
particle sedimentation. SIAM J. Appl. Math. 51 No. 1
(1991) 49-72.
[Abstract]
M. Field and M. Golubitsky, Symmetric chaos. Computers in
Physics. Sep/Oct 1990, 470-479.
[ ]
M. J. Field and R. W. Richardson,
Symmetry breaking in equivariant
bifurcation problems, Bull. Amer. Math. Soc.,
22(1) (1990), 79-84.
[Abstract]
S.A. van Gils and M. Golubitsky, A torus bifurcation
theorem in the presence of symmetry. Dyn. Diff. Eqn.
2, No. 2 (1990) 133-163.
[ ]
M. J. Field and R. W. Richardson,
Symmetry Breaking and the Maximal
Isotropy Subgroup Conjecture for
Reflection Groups, Arch.
Rational Mech. & Anal., 105(1) (1989), 61-94.
[ ]
[Abstract]
I. Melbourne, P. Chossat and M. Golubitsky, Heteroclinic
cycles involving periodic solutions in mode interactions with O(2)
symmetry. Proc. Roy. Soc. Edinburgh 113A (1989)
315-345.
[ ]
A. Vanderbauwhede, M. Krupa and M. Golubitsky, Secondary
bifurcations in symmetric systems. Differential Equations,
Lect. Notes Pure Appl. Math. 118 (C.M. Dafermos, G. Ladas and
G. Papanicolaou, Eds.) Marcel Dekker, Inc., New York, 1989, 709-716.
[ ]
P. Chossat and M. Golubitsky, Symmetry increasing
bifurcation of chaotic attractors. Physica D 32
(1988) 423-436.
[Abstract]
P. Chossat and M. Golubitsky, Iterates of maps with
symmetry. SIAM J. Math. Anal. 19, No. 6 (1988)
1259-1270.
[Abstract]
J.D. Crawford, M. Golubitsky and W.F. Langford, Modulated
rotating waves in O(2) mode interactions. Dyn. Stab. Sys.
3, No. 3-4 (1988) 159-175.
[Abstract]
M. Golubitsky and W.F. Langford, Pattern formation and
bistability in flow between counterrotating cylinders. Physica
D32 (1988) 362-392
[ ]
[Abstract]
W.F. Langford, R. Tagg, E. Kostelich, H.L. Swinney and
M. Golubitsky, Primary instability and bicriticality in flow between
counterrotating cylinders. Phys. Fluids. 31(4) (1988)
776-785.
[Abstract]
P. Chossat and M. Golubitsky, Hopf bifurcation in the presence
of symmetry, center manifold and Liapunov-Schmidt reduction. In:
Oscillation, Bifurcation and Chaos (F.V. Atkinson, W.F.
Langford and A.B. Mingarelli, eds.) CMS-AMS Conf. Proc. Ser.8
(1987), AMS, Providence, 343-352.
[ ]
M. Golubitsky and M. Roberts, Degenerate Hopf bifurcation with
O(2) symmetry. J. Diff. Eqn. 69 (1987) 216-264.
[Abstract]
M. Golubitsky and I.N. Stewart, Generic bifurcation of Hamiltonian
systems with symmetry. Physica D 24 (1987) 391-405.
[Abstract]
P. Chossat, M. Golubitsky and B.L. Keyfitz, Hopf-Hopf mode
interactions with O(2) symmetry. Dyn. Stab. Sys. 1,
No. 4 (1986) 255-292.
[Abstract]
M. J. Field,
Equivariant dynamics, Contemporary Math., 56 (1986), 69-96.
[ ]
[Abstract]
M. Golubitsky and I.N. Stewart, Hopf bifurcation with
dihedral group symmetry: coupled nonlinear oscillators. In: Multiparameter
Bifurcation Theory (M. Golubitsky and J. Guckenheimer, eds)
Contemporary Mathematics 56, AMS (1986) 131-173.
[Abstract]
M. Golubitsky and I.N. Stewart, Symmetry and Stability
in Taylor-Couette flow. SIAM J. Math. Anal. 17 No. 2
(1986) 249-288.
[Abstract]
B.L. Keyfitz, M. Golubitsky, M. Gorman and P. Chossat, The use
of symmetry and bifurcation techniques in studying flame
stability. In: Reacting Flows: Combustion and Chemical
Reactors (G.S.S. Ludford, ed.). Lectures in Appl. Math.
24, Part 2, AMS, Providence, 1986, 293-315.
[Abstract]
M. Golubitsky and I.N. Stewart, Hopf bifurcation in the
presence of symmetry. Arch. Rational Mech. Anal. 87
No. 2 (1985) 107-165.
See also: Bull. AMS 11 No. 2 (1984) 339-342.
[ ]
[ ]
M. Golubitsky, J. Marsden and D. Schaeffer, Bifurcation problems
with hidden symmetries. Partial Differential Equations and
Dynamical Systems (W.E. Fitzgibbon III, ed.) Res. Notes in
Math. 101 Pitman Press. (1984) 181-210.
[Abstract]
M. Golubitsky, J.W. Swift and E. Knobloch, Symmetries and
Pattern selection in Rayleigh-Benard convection. Physica
10D (1984) 249-276.
[Abstract]
E. Ihrig and M. Golubitsky, Pattern selection with
O(3) symmetry. Physica 13D (1984) 1-33.
[ ]
E. Buzano and M. Golubitsky, Bifurcation involving the
hexagonal lattice and the planar Benard problem. Phil. Trans.
Roy. Soc. London A308 (1983) 617-667.
See also: E. Buzano and M. Golubitsky, Bifurcation involving the hexagonal
lattice. Proc. Symp. Pure Math. 40 (1983) 203-210.
[Abstract]
M. J. Field,
Isotopy and stability of equivariant diffeomorphisms,
Proc. London Math. Soc., 46(3), (1983), 487-516.
[Abstract]
M. J. Field,
Equivariant diffeomorphisms hyperbolic transverse to a G-action',
J. London Math. Soc., 27(2), (1983), 563-576.
[Abstract]
M. Golubitsky, The Benard problem, symmetry and the lattice of
isotropy subgroups. Bifurcation Theory, Mechanics and
Physics (C.P. Bruter et al. eds.) D. Reidel Publishing Co.
(1983) 225-256.
[Abstract]
M. Golubitsky and J. Marsden, The Morse lemma in infinite
dimensions via singularity theory. SIAM J. Math. Anal.
14 (1983) 1037-1044.
[Abstract]
M. Golubitsky and D. Schaeffer, A discussion of symmetry and
symmetry breaking. Singularity Theory {P. Orlik, ed.
Proc. Symp. Pure Math. 40 (1983) 499-516.
[Abstract]
M. J. Field,
Handlebody decompositions for G-manifolds
Bull. Austral. Math. Soc.,
25(1) (1982), 29-36.
[Abstract]
M. J. Field,
On the structure of a class of equivariant maps,
Bull. Austral. Math. Soc.,
26(2) (1982), 161-180.
[ ]
M. Golubitsky and D. Schaeffer, Bifurcation with O(3) symmetry
including applications to the Benard problem. Commun. Pure &
Appl. Math. 35 (1982) 81-111.
[ ]
M. Golubitsky, B.L. Keyfitz and D. Schaeffer, A singularity
theory analysis of the thermal chainbranching model. Commun.
Pure & Appl. Math. 34 (1981) 433-463.
[Abstract]
M. Golubitsky and W.F. Langford, Classification and unfoldings of degenerate
Hopf bifurcation. J. Diff. Eqns. 41 (1981) 375-415.
[ ]
M. Golubitsky and H.L. Smith, A remark on periodically perturbed
bifurcation. Differential Equations and Applications to
Ecology, Epidemics and Population Problems. Academic Press
(1981) 259-277.
[Abstract]
D. Schaeffer and M. Golubitsky, Bifurcation analysis near a
double eigenvalue of a model chemical reaction. Arch. Rational
Mech. & Anal. 75 (1981) 315-347.
[Abstract]
M. J. Field,
Equivariant dynamical systems, Trans. Amer. Math. Soc., 259(1)
(1980), 185-205.
[Abstract]
M. Golubitsky and B.L. Keyfitz, A qualitative study of the
steady-state solutions for a continuous flow stirred tank
chemical reactor. SIAM J. Math. Anal. 11 (1980)
316-339.
[ ]
M. Golubitsky, A review of Catastrophe Theory and its
Applications by Tim Poston and Ian Stewart. Bull. AMS 1
No. 3 (1979) 524-532.
[ ]
M. Golubitsky and D. Schaeffer, A theory for imperfect
bifurcation via singularity theory. Commun. Pure and Appl.
Math. 32 (1979) 1-77.
[ ]
M. Golubitsky and D. Schaeffer, Imperfect bifurcation in the
presence of symmetry. Commun. Math. Phys. 67 (1979)
205-232.
See also: M. Golubitsky and D. Schaeffer, A qualitative approach to
steady state bifurcation theory. New Approaches to Nonlinear
Problems in Dynamics, SIAM (1980) 43-52, 257-270, 433-436.
M. Golubitsky and D. Schaeffer, A singularity theory approach to
steady state bifurcation theory. Nonlinear Partial
Differential Equations and Applied Science, Dekker (1980) 229-254.
M. Golubitsky and D. Schaeffer, An analysis of imperfect
bifurcation. Annals of New York Acad. of Sci. 316
(1979) 127-133.
[Abstract]
D. Schaeffer and M. Golubitsky, Boundary conditions and mode
jumping in the buckling of a rectangular plate. Commun. Math.
Phys. 69 (1979) 209-236.
[Abstract]
M. J. Field,
Resolving actions of compact Lie groups,
Bull. Austral. Math. Soc.,
18 (1978), 243-254.
[Abstract]
M. J. Field and D. I. Cartwright,
A refinement of the Arithmetic mean--Geometric mean inequality,
Proc. Amer. Math. Soc.,
71(1) (1978), 36-38.
[ ]
M. Golubitsky, An introduction to catastrophe theory and its
applications. SIAM Review 20 No. 2 (1978) 352-387.
[ ]
M. Golubitsky and D. Tischler, A survey on the singularities and
stability of differential forms. Asterisque 59-60
(1978) 43-82.
[Abstract]
M. J. Field,
Transversality in G-manifolds, Trans. Amer. Math. Soc.,
231 (1977), 429-450.
[ ]
M. J. Field,
Stratifications of equivariant varieties,
Bull. Austral. Math. Soc.,
16 (1977), 279-295.
[Abstract]
M. Golubitsky and D. Tischler, An example of moduli for
singular symplectic forms. Inventiones Math. 38 (1977)
219-225.
[ ]
M. J. Field,
Transversalite dans les G-varieties, C. R. Acad. Sc. Paris,
t. 282 (Janvier, 1976), 115--117.
[ ]
M. J. Field,
Singularity theory and equivariant dynamical systems, Asterisque,
40 (1976), 67-78.
[Abstract]
M. Golubitsky and D. Tischler, On the non-existence of globally
stable forms. Proc. AMS 58 (1976) 296-300.
[Abstract]
M. Golubitsky and D. Tischler, On the local stability of
differential forms. Trans. AMS 223 (1976) 205-221.
[ ]
M. Golubitsky and V. Guillemin, Contact equivalence for
Lagrangian submanifolds. Adv. Math. 15 No. 3 (1975)
375-387.
See also: M. Golubitsky, Contact equivalence for Lagrangian
submanifolds. Dynamical Systems-Warwick 1974. Lecture Notes
Math. 468. Springer Verlag. New York, 1975, 71-73.
[Abstract]
M. Golubitsky, E. Keeler and M. Rothschild, Convergence of the
age structure: applications of the projective metric. Theor.
Pop. Biol. 7 No. 1 (1975) 84-93.
[ ]
M. Golubitsky and D. Schaeffer, Stability of shock waves for a
single conservation law. Adv. Math. 16 No. 1 (1975)
65-71.
[ ]
M. J. Field,
A finiteness result on the ring of analytic functions defined on a Banach
space, Studia Mathematica, t XXLVI (1973), 17-20.
[ ]
Russian translation by A. Kushnirenko: Mir, Moscow, 1976.
[ ]
M. Golubitsky, Primitive actions and maximal subgroups of Lie
groups. J. Diff. Geom. 7 (1972) 175-191.
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