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Volumn 137, Issue 2, 2004, Pages 411-432

Dynamics and geometry in forced symmetry breaking: A tetrahedral example

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EID: 4744344757     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S030500410400773X     Document Type: Conference Paper
Times cited : (6)

References (37)
  • 3
    • 0016572352 scopus 로고
    • Patterns of convection in spherical shells
    • F. H. BUSSE. Patterns of convection in spherical shells. J. Fluid Mech. 72 (1975), 67-85.
    • (1975) J. Fluid Mech. , vol.72 , pp. 67-85
    • Busse, F.H.1
  • 4
    • 0020194899 scopus 로고
    • Patterns of convection in spherical shells II
    • F. H. BUSSE and N. RIAHI. Patterns of convection in spherical shells II. J. Fluid Mech. 123 (1982), 283-301.
    • (1982) J. Fluid Mech. , vol.123 , pp. 283-301
    • Busse, F.H.1    Riahi, N.2
  • 5
    • 4744341081 scopus 로고
    • Connective dynamos
    • Proc. 38th IAU Colloq., Nice 1976 (E. A.Spiegel and J. P. Zahn, eds.), Lecture Notes in Physics 71 (Springer-Verlag)
    • S. CHILDRESS. Connective dynamos, in Problems of stellar convection, Proc. 38th IAU Colloq., Nice 1976 (E. A.Spiegel and J. P. Zahn, eds.), Lecture Notes in Physics 71 (Springer-Verlag, 1977).
    • (1977) Problems of Stellar Convection
    • Childress, S.1
  • 6
    • 4744339710 scopus 로고    scopus 로고
    • Veronese and the detectives: Finding the symmetry of attractors
    • D. R. J. CHILLINGWORTH. Veronese and the detectives: finding the symmetry of attractors. Fields Inst. Commun. 5 (1996), 85-92.
    • (1996) Fields Inst. Commun. , vol.5 , pp. 85-92
    • Chillingworth, D.R.J.1
  • 7
    • 0034206811 scopus 로고    scopus 로고
    • Generic multiparameter bifurcation from a manifold
    • D. R. J. CHILLINGWORTH. Generic multiparameter bifurcation from a manifold. Dyn. Stab. Syst. 15 (2000), 101-137.
    • (2000) Dyn. Stab. Syst. , vol.15 , pp. 101-137
    • Chillingworth, D.R.J.1
  • 10
    • 84972224032 scopus 로고
    • On the existence of bifurcating solutions in the presence of symmetries
    • E. N. DANCER. On the existence of bifurcating solutions in the presence of symmetries. Proc. Royal Soc. Edinburgh 85A (1980), 321-336.
    • (1980) Proc. Royal Soc. Edinburgh , vol.85 A , pp. 321-336
    • Dancer, E.N.1
  • 11
    • 33645050627 scopus 로고
    • Hopf bifurcation with broken circular symmetry
    • G. DANGELMAYR and E. KNOBLOCH. Hopf bifurcation with broken circular symmetry. Nonlinearity 4 (1991), 399-428.
    • (1991) Nonlinearity , vol.4 , pp. 399-428
    • Dangelmayr, G.1    Knobloch, E.2
  • 12
    • 0010534650 scopus 로고    scopus 로고
    • Parity breaking bifurcation in inhomogeneous systems
    • G. DANGELMAYR and E. KNOBLOCH. Parity breaking bifurcation in inhomogeneous systems. Nonlinearity 10 (1997), 1093-1114.
    • (1997) Nonlinearity , vol.10 , pp. 1093-1114
    • Dangelmayr, G.1    Knobloch, E.2
  • 13
    • 22244462113 scopus 로고    scopus 로고
    • Coupled cells with internal symmetry I: Wreath products
    • B. DIONNE, M. GOLUBITSKY and I. STEWART. Coupled cells with internal symmetry I: Wreath products. Nonlinearity 9 (1996), 559-574.
    • (1996) Nonlinearity , vol.9 , pp. 559-574
    • Dionne, B.1    Golubitsky, M.2    Stewart, I.3
  • 14
    • 22244486670 scopus 로고    scopus 로고
    • Coupled cells with internal symmetry II: Direct products
    • B. DIONNE, M. GOLUBITSKY and I. STEWART. Coupled cells with internal symmetry II: Direct products. Nonlinearity 9 (1996), 575-600.
    • (1996) Nonlinearity , vol.9 , pp. 575-600
    • Dionne, B.1    Golubitsky, M.2    Stewart, I.3
  • 16
    • 0000902916 scopus 로고    scopus 로고
    • Semi-invariants, equivariants and algorithms
    • K. GATERMANN. Semi-invariants, equivariants and algorithms. Appl. Algebra Engrg. Comm. Comput. 7 (1996), 105-124.
    • (1996) Appl. Algebra Engrg. Comm. Comput. , vol.7 , pp. 105-124
    • Gatermann, K.1
  • 18
    • 0348155700 scopus 로고    scopus 로고
    • Gröbner bases, invariant theory and equivariant dynamics
    • K. GATERMANN and F. GUYARD. Gröbner bases, invariant theory and equivariant dynamics. J. Symbolic Comput. 28 (1999), 275-302.
    • (1999) J. Symbolic Comput. , vol.28 , pp. 275-302
    • Gatermann, K.1    Guyard, F.2
  • 20
    • 0041375090 scopus 로고    scopus 로고
    • Forced symmetry breaking perturbations for periodic solutions
    • F. GUYARD and R. LAUTERBACH. Forced symmetry breaking perturbations for periodic solutions. Nonlinearity 10 (1997), 291-310.
    • (1997) Nonlinearity , vol.10 , pp. 291-310
    • Guyard, F.1    Lauterbach, R.2
  • 21
    • 0007027536 scopus 로고
    • Generic bifurcation with applications
    • R. Knops (ed.), Research Notes in Math. 17, Pitman
    • J. K. HALE. Generic bifurcation with applications. R. Knops (ed.), Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, Vol.I., Research Notes in Math. 17, 59-157 (Pitman, 1977).
    • (1977) Nonlinear Analysis and Mechanics: Heriot-watt Symposium , vol.1 , pp. 59-157
    • Hale, J.K.1
  • 22
    • 0030667565 scopus 로고    scopus 로고
    • An example of symmetry breaking to heteroolinic cycles
    • C. HOU and M. GOLUBITSKY. An example of symmetry breaking to heteroolinic cycles. J. Differential Equations 133 (1997), 30-48.
    • (1997) J. Differential Equations , vol.133 , pp. 30-48
    • Hou, C.1    Golubitsky, M.2
  • 23
    • 0002511679 scopus 로고
    • Pattern selection with O(3)-symmetry
    • E. IHRIG and M. GOLUBITSKY. Pattern selection with O(3)-symmetry. Physica 13D (1984), 1-33.
    • (1984) Physica , vol.13 D , pp. 1-33
    • Ihrig, E.1    Golubitsky, M.2
  • 24
    • 0004821023 scopus 로고    scopus 로고
    • Burst mechanisms in hydrodynamics
    • Debnath, L. et al. (eds.), Nonlinear instability, chaos and turbulence. Vol. II., (WIT Press)
    • E. KNOBLOCH and J. MOEHLIS. Burst mechanisms in hydrodynamics. Debnath, L. et al. (eds.), Nonlinear instability, chaos and turbulence. Vol. II., 237-287, Adv. Fluid Mech. 25 (WIT Press, 2000).
    • (2000) Adv. Fluid Mech. , vol.25 , pp. 237-287
    • Knobloch, E.1    Moehlis, J.2
  • 25
    • 21344442919 scopus 로고    scopus 로고
    • A systematic study of heteroclinic cycles in dynamical systems with broken symmetries
    • R. LAUTERBACH, S. MAIER and E. REISSNER. A systematic study of heteroclinic cycles in dynamical systems with broken symmetries. Proc. Roy. Soc. Edinburgh 126A (1996), 885-909.
    • (1996) Proc. Roy. Soc. Edinburgh , vol.126 A , pp. 885-909
    • Lauterbach, R.1    Maier, S.2    Reissner, E.3
  • 26
    • 0001798104 scopus 로고
    • Heteroclinic cycles in dynamical systems with broken spherical symmetry
    • R. LAUTERBACH and M. ROBERTS. Heteroclinic cycles in dynamical systems with broken spherical symmetry. J. Differential Equations 100 (1992), 428-448.
    • (1992) J. Differential Equations , vol.100 , pp. 428-448
    • Lauterbach, R.1    Roberts, M.2
  • 27
    • 0000616455 scopus 로고    scopus 로고
    • Bifurcation analysis for spherically symmetric systems using invariant theory
    • R. LAUTERBACH and J. SANDERS. Bifurcation analysis for spherically symmetric systems using invariant theory. J. Dynam. Differential Equations 9 (1997), 535-560.
    • (1997) J. Dynam. Differential Equations , vol.9 , pp. 535-560
    • Lauterbach, R.1    Sanders, J.2
  • 29
    • 0010912802 scopus 로고
    • Points critiques des fonctions G-invariantes
    • L. MICHEL. Points critiques des fonctions G-invariantes. CR Acad. Sci. Paris, Série A-B 272 (1971), A433-A436.
    • (1971) CR Acad. Sci. Paris, Série A-B , vol.272
    • Michel, L.1
  • 31
    • 0035336513 scopus 로고    scopus 로고
    • Wrinkled tori and bursts due to resonant temporal forcing
    • J. MOEHLIS and E. KNOBLOCH. Wrinkled tori and bursts due to resonant temporal forcing. Physica 151D (2001), 90-124.
    • (2001) Physica , vol.151 D , pp. 90-124
    • Moehlis, J.1    Knobloch, E.2
  • 33
    • 0038741133 scopus 로고    scopus 로고
    • Orientational dynamics of nematic liquid crystals under shear flow
    • G. RIENÄCKE and S. HESS. Orientational dynamics of nematic liquid crystals under shear flow. Physica 267A (1999), 294-321.
    • (1999) Physica , vol.267 A , pp. 294-321
    • Rienäcke, G.1    Hess, S.2
  • 34
    • 4744370196 scopus 로고
    • The Veronese manifolds and their convex hulls
    • University of Coimbra
    • S. A. ROBERTSON. The Veronese manifolds and their convex hulls. Technical report (University of Coimbra, 1991).
    • (1991) Technical Report
    • Robertson, S.A.1
  • 37
    • 0007037635 scopus 로고
    • Symmetry and bifurcation near families of solutions
    • A. VANDERBAUWHEDE. Symmetry and bifurcation near families of solutions. J. Differential Equations 36 (1980), 173-178.
    • (1980) J. Differential Equations , vol.36 , pp. 173-178
    • Vanderbauwhede, A.1


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