메뉴 건너뛰기




Volumn 23, Issue 9, 2011, Pages

Homoclinic snaking of localized states in doubly diffusive convection

Author keywords

[No Author keywords available]

Indexed keywords

FLUIDS; PHYSICS;

EID: 80053410389     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3626405     Document Type: Article
Times cited : (42)

References (50)
  • 1
    • 0343948629 scopus 로고
    • The coupled turbulent transports of salt and heat across a sharp density interface
    • 10.1016/0017-9310(65)90022-0
    • Turner J.S. The coupled turbulent transports of salt and heat across a sharp density interface. Int. J. Heat Mass Transfer 1965, 8:759. 10.1016/0017-9310(65)90022-0,
    • (1965) Int. J. Heat Mass Transfer , vol.8 , pp. 759
    • Turner, J.S.1
  • 2
    • 0000147111 scopus 로고
    • Double diffusion in oceanography
    • 10.1146/annurev.fl.26.010194.001351
    • Schmitt R.W. Double diffusion in oceanography. Annu. Rev. Fluid Mech. 1994, 26:255. 10.1146/annurev.fl.26.010194.001351,
    • (1994) Annu. Rev. Fluid Mech. , vol.26 , pp. 255
    • Schmitt, R.W.1
  • 3
    • 0000830011 scopus 로고
    • Transport phenomena in crystal growth from solution
    • 10.1016/0960-8974(93)90014-U
    • Wilcox W.R. Transport phenomena in crystal growth from solution. Prog. Cryst. Growth Charact. Mater. 1993, 26:153. 10.1016/0960-8974(93)90014-U,
    • (1993) Prog. Cryst. Growth Charact. Mater. , vol.26 , pp. 153
    • Wilcox, W.R.1
  • 4
    • 0025669461 scopus 로고
    • Nonlinear physics of double-diffusive convection in geological systems
    • 10.1016/0012-8252(90)90050-6
    • Hansen U. Yuen D.A. Nonlinear physics of double-diffusive convection in geological systems. Earth-Sci. Rev. 1990, 29:385. 10.1016/0012-8252(90)90050-6
    • (1990) Earth-Sci. Rev. , vol.29 , pp. 385
    • Hansen, U.1    Yuen, D.A.2
  • 5
    • 84963295414 scopus 로고
    • Nonlinear diffusive instabilities in differentially rotating stars
    • 10.1080/03091928208221740
    • Knobloch E. Nonlinear diffusive instabilities in differentially rotating stars. Geophys. Astrophys. Fluid Dyn. 1982, 22:133. 10.1080/03091928208221740,
    • (1982) Geophys. Astrophys. Fluid Dyn. , vol.22 , pp. 133
    • Knobloch, E.1
  • 6
    • 0017220265 scopus 로고
    • Nonlinear double-diffusive convection
    • 10.1017/S0022112076002759
    • Huppert H.E. Moore D.R. Nonlinear double-diffusive convection. J. Fluid Mech. 1976, 78:821. 10.1017/S0022112076002759
    • (1976) J. Fluid Mech. , vol.78 , pp. 821
    • Huppert, H.E.1    Moore, D.R.2
  • 7
    • 0001718888 scopus 로고
    • Period doubling and chaos in partial differential equations for thermosolutal convection
    • 10.1038/303663a0
    • Moore D.R. Toomre J. Knobloch E. Weiss N.O. Period doubling and chaos in partial differential equations for thermosolutal convection. Nature 1983, 303:663. 10.1038/303663a0
    • (1983) Nature , vol.303 , pp. 663
    • Moore, D.R.1    Toomre, J.2    Knobloch, E.3    Weiss, N.O.4
  • 8
    • 33748286006 scopus 로고    scopus 로고
    • Spatially localized binary-fluid convection
    • 10.1017/S0022112006000759
    • Batiste O. Knobloch E. Alonso A. Mercader I. Spatially localized binary-fluid convection. J. Fluid Mech. 2006, 560:149. 10.1017/S0022112006000759
    • (2006) J. Fluid Mech. , vol.560 , pp. 149
    • Batiste, O.1    Knobloch, E.2    Alonso, A.3    Mercader, I.4
  • 9
    • 43049108796 scopus 로고    scopus 로고
    • Periodic and localized states in natural doubly diffusive convection
    • 10.1016/j.physd.2007.11.024
    • Bergeon A. Knobloch E. Periodic and localized states in natural doubly diffusive convection. Physica D 2008, 237:1139. 10.1016/j.physd.2007.11.024
    • (2008) Physica D , vol.237 , pp. 1139
    • Bergeon, A.1    Knobloch, E.2
  • 11
    • 34848911909 scopus 로고    scopus 로고
    • Homoclinic snaking: structure and stability
    • 10.1063/1.2746816
    • Burke J. Knobloch E. Homoclinic snaking: structure and stability. Chaos 2007, 17:037102. 10.1063/1.2746816
    • (2007) Chaos , vol.17 , pp. 037102
    • Burke, J.1    Knobloch, E.2
  • 12
    • 77955616598 scopus 로고    scopus 로고
    • Spatially localized binary fluid convection in a porous medium
    • 10.1063/1.3439672
    • Lo Jacono D. Bergeon A. Knobloch E. Spatially localized binary fluid convection in a porous medium. Phys. Fluids 2010, 22:073601. 10.1063/1.3439672
    • (2010) Phys. Fluids , vol.22 , pp. 073601
    • Lo Jacono, D.1    Bergeon, A.2    Knobloch, E.3
  • 13
    • 0008366676 scopus 로고
    • Traveling waves in large-aspect-ratio thermosolutal convection
    • 10.1103/PhysRevA.37.1817
    • Deane A.E. Knobloch E. Toomre J. Traveling waves in large-aspect-ratio thermosolutal convection. Phys. Rev. A 1988, 37:1817. 10.1103/PhysRevA.37.1817
    • (1988) Phys. Rev. A , vol.37 , pp. 1817
    • Deane, A.E.1    Knobloch, E.2    Toomre, J.3
  • 15
    • 0003078274 scopus 로고
    • Symmetry and symmetry-breaking bifurcations in fluid mechanics
    • 10.1146/annurev.fl.23.010191.002013
    • Crawford J.D. Knobloch E. Symmetry and symmetry-breaking bifurcations in fluid mechanics. Annu. Rev. Fluid Mech. 1991, 23:341. 10.1146/annurev.fl.23.010191.002013
    • (1991) Annu. Rev. Fluid Mech. , vol.23 , pp. 341
    • Crawford, J.D.1    Knobloch, E.2
  • 16
    • 0022723627 scopus 로고
    • Transitions to chaos in two-dimensional double-diffusive convection
    • 10.1017/S0022112086000216
    • Knobloch E. Moore D.R. Toomre J. Weiss N.O. Transitions to chaos in two-dimensional double-diffusive convection. J. Fluid Mech. 1986, 166:409. 10.1017/S0022112086000216
    • (1986) J. Fluid Mech. , vol.166 , pp. 409
    • Knobloch, E.1    Moore, D.R.2    Toomre, J.3    Weiss, N.O.4
  • 18
    • 0000735632 scopus 로고
    • Traveling waves and chaos in thermosolutal convection
    • 10.1103/PhysRevA.36.2862
    • Deane A.E. Knobloch E. Toomre J. Traveling waves and chaos in thermosolutal convection. Phys. Rev. A 1987, 36:2862. 10.1103/PhysRevA.36.2862
    • (1987) Phys. Rev. A , vol.36 , pp. 2862
    • Deane, A.E.1    Knobloch, E.2    Toomre, J.3
  • 19
    • 0000924946 scopus 로고
    • Intermittency through modulational instability
    • 10.1016/0375-9601(83)90491-7
    • Bretherton C.S. Spiegel E.A. Intermittency through modulational instability. Phys. Lett. A 1983, 96:152. 10.1016/0375-9601(83)90491-7
    • (1983) Phys. Lett. A , vol.96 , pp. 152
    • Bretherton, C.S.1    Spiegel, E.A.2
  • 20
    • 0000052794 scopus 로고
    • Steady-state solving via Stokes preconditioning: Recursion relations for elliptic operators
    • D. Dwoyer, M. Hussaini, R. Voigt edited by Lecture Notes in Physics (Springer, Berlin)
    • Tuckerman L.S. Steady-state solving via Stokes preconditioning: Recursion relations for elliptic operators. 11th International Conference on Numerical Methods in Fluid Dynamics 1989, 323:573. D. Dwoyer, M. Hussaini, R. Voigt, in edited by and Lecture Notes in Physics Vol. (Springer, Berlin)
    • (1989) 11th International Conference on Numerical Methods in Fluid Dynamics , vol.323 , pp. 573
    • Tuckerman, L.S.1
  • 21
    • 0029151986 scopus 로고
    • Asymmetry and Hopf bifurcation in spherical Couette flow
    • 10.1063/1.868730
    • Mamun C.K. Tuckerman L.S. Asymmetry and Hopf bifurcation in spherical Couette flow. Phys. Fluids 1995, 7:80. 10.1063/1.868730
    • (1995) Phys. Fluids , vol.7 , pp. 80
    • Mamun, C.K.1    Tuckerman, L.S.2
  • 22
    • 28144457683 scopus 로고
    • High-order splitting methods for the incompressible Navier-Stokes equations
    • 10.1016/0021-9991(91)90007-8
    • Karniadakis G.E. Israeli M. Orszag S.A. High-order splitting methods for the incompressible Navier-Stokes equations. J. Comp. Phys. 1991, 97:414. 10.1016/0021-9991(91)90007-8
    • (1991) J. Comp. Phys. , vol.97 , pp. 414
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 23
    • 0036736131 scopus 로고    scopus 로고
    • Natural doubly diffusive convection in three-dimensional enclosures
    • 10.1063/1.1493790
    • Bergeon A. Knobloch E. Natural doubly diffusive convection in three-dimensional enclosures. Phys. Fluids 2002, 14:92. 10.1063/1.1493790
    • (2002) Phys. Fluids , vol.14 , pp. 92
    • Bergeon, A.1    Knobloch, E.2
  • 29
    • 41849088432 scopus 로고    scopus 로고
    • Spatially localized states in natural doubly diffusive convection
    • 10.1063/1.2837177
    • Bergeon A. Knobloch E. Spatially localized states in natural doubly diffusive convection. Phys. Fluids 2008, 20:034102. 10.1063/1.2837177
    • (2008) Phys. Fluids , vol.20 , pp. 034102
    • Bergeon, A.1    Knobloch, E.2
  • 30
    • 54149085359 scopus 로고    scopus 로고
    • Eckhaus instability and homoclinic snaking
    • 10.1103/PhysRevE.78.046201
    • Bergeon A. Burke J. Knobloch E. Mercader I. Eckhaus instability and homoclinic snaking. Phys. Rev. E 2008, 78:046201. 10.1103/PhysRevE.78.046201
    • (2008) Phys. Rev. E , vol.78 , pp. 046201
    • Bergeon, A.1    Burke, J.2    Knobloch, E.3    Mercader, I.4
  • 31
    • 0346500773 scopus 로고    scopus 로고
    • Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate Hamiltonian-Hopf bifurcation
    • 10.1016/S0167-2789(98)00309-1
    • Woods P.D. Champneys A.R. Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate Hamiltonian-Hopf bifurcation. Physica D 1999, 129:147. 10.1016/S0167-2789(98)00309-1
    • (1999) Physica D , vol.129 , pp. 147
    • Woods, P.D.1    Champneys, A.R.2
  • 32
    • 0000841505 scopus 로고    scopus 로고
    • Stable static localized structures in one dimension
    • 10.1103/PhysRevLett.84.3069
    • Coullet P. Riera C. Tresser C. Stable static localized structures in one dimension. Phys. Rev. Lett. 2000, 84:3069. 10.1103/PhysRevLett.84.3069
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 3069
    • Coullet, P.1    Riera, C.2    Tresser, C.3
  • 34
    • 0001437469 scopus 로고
    • Convection in binary fluids
    • 10.1063/1.863220
    • Knobloch E. Convection in binary fluids. Phys. Fluids 1980, 23:1918. 10.1063/1.863220,
    • (1980) Phys. Fluids , vol.23 , pp. 1918
    • Knobloch, E.1
  • 35
    • 0024703014 scopus 로고
    • Dynamics of traveling waves near the onset of convection in binary fluid mixtures
    • 10.1016/0167-2789(89)90140-1
    • Kolodner P. Surko C.M. Williams H. Dynamics of traveling waves near the onset of convection in binary fluid mixtures. Physica D 1989, 37:319. 10.1016/0167-2789(89)90140-1
    • (1989) Physica D , vol.37 , pp. 319
    • Kolodner, P.1    Surko, C.M.2    Williams, H.3
  • 36
    • 0024704366 scopus 로고
    • Pattern selection and transition to turbulence in propagating waves
    • 10.1016/0167-2789(89)90143-7
    • Steinberg V. Fineberg J. Moses E. Rehberg I. Pattern selection and transition to turbulence in propagating waves. Physica D 1989, 37:359. 10.1016/0167-2789(89)90143-7
    • (1989) Physica D , vol.37 , pp. 359
    • Steinberg, V.1    Fineberg, J.2    Moses, E.3    Rehberg, I.4
  • 37
    • 33751252789 scopus 로고    scopus 로고
    • Snakes and ladders: localized states in the Swift-Hohenberg equation
    • 10.1016/j.physleta.2006.08.072
    • Burke J. Knobloch E. Snakes and ladders: localized states in the Swift-Hohenberg equation. Phys. Lett. A 2007, 360:681. 10.1016/j.physleta.2006.08.072
    • (2007) Phys. Lett. A , vol.360 , pp. 681
    • Burke, J.1    Knobloch, E.2
  • 38
    • 80053407547 scopus 로고    scopus 로고
    • Multipulse states in the Swift-Hohenberg equation
    • Discrete Contin. Dyn. Syst. (Suppl.), 109
    • Burke J. Knobloch E. Multipulse states in the Swift-Hohenberg equation. 2009 Discrete Contin. Dyn. Syst. (Suppl.), 109.
    • (2009)
    • Burke, J.1    Knobloch, E.2
  • 40
    • 0347053767 scopus 로고    scopus 로고
    • Dynamics of counterpropagating waves in parametrically forced systems
    • 10.1016/S0167-2789(99)00170-0
    • Martel C. Knobloch E. Vega J.M. Dynamics of counterpropagating waves in parametrically forced systems. Physica D 2000, 137:94. 10.1016/S0167-2789(99)00170-0
    • (2000) Physica D , vol.137 , pp. 94
    • Martel, C.1    Knobloch, E.2    Vega, J.M.3
  • 41
    • 77749298243 scopus 로고    scopus 로고
    • Snakes and ladders: Localized solutions of plane Couette flow
    • 10.1103/PhysRevLett.104.104501
    • Schneider T.M. Gibson J.F. Burke J. Snakes and ladders: Localized solutions of plane Couette flow. Phys. Rev. Lett. 2010, 104:104501. 10.1103/PhysRevLett.104.104501
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 104501
    • Schneider, T.M.1    Gibson, J.F.2    Burke, J.3
  • 42
    • 21244506743 scopus 로고    scopus 로고
    • Simulations of oscillatory convection in 3He-4He mixtures in moderate aspect ratio containers
    • 10.1063/1.1920349
    • Batiste O. Knobloch E. Simulations of oscillatory convection in 3He-4He mixtures in moderate aspect ratio containers. Phys. Fluids 2005, 17:064102. 10.1063/1.1920349
    • (2005) Phys. Fluids , vol.17 , pp. 064102
    • Batiste, O.1    Knobloch, E.2
  • 43
    • 21244469699 scopus 로고
    • Stable and unstable pulses of traveling-wave convection
    • 10.1103/PhysRevA.43.2827
    • Kolodner P. Stable and unstable pulses of traveling-wave convection. Phys. Rev. A 1991, 43:2827. 10.1103/PhysRevA.43.2827,
    • (1991) Phys. Rev. A , vol.43 , pp. 2827
    • Kolodner, P.1
  • 44
    • 29444445902 scopus 로고
    • Convection in binary fluid mixtures. II. Localized traveling waves
    • 10.1103/PhysRevE.51.5662
    • Barten W. Lücke M. Kamps M. Schmitz R. Convection in binary fluid mixtures. II. Localized traveling waves. Phys. Rev. E 1995, 51:5662. 10.1103/PhysRevE.51.5662
    • (1995) Phys. Rev. E , vol.51 , pp. 5662
    • Barten, W.1    Lücke, M.2    Kamps, M.3    Schmitz, R.4
  • 45
    • 0000614143 scopus 로고    scopus 로고
    • Confined states in large-aspect-ratio thermosolutal convection
    • 10.1103/PhysRevE.57.524
    • Spina A. Toomre J. Knobloch E. Confined states in large-aspect-ratio thermosolutal convection. Phys. Rev. E 1998, 57:524. 10.1103/PhysRevE.57.524
    • (1998) Phys. Rev. E , vol.57 , pp. 524
    • Spina, A.1    Toomre, J.2    Knobloch, E.3
  • 46
    • 4243198145 scopus 로고
    • Extended states of nonlinear traveling-wave convection. II. Fronts and spatiotemporal defects
    • 10.1103/PhysRevA.46.6452
    • Kolodner P. Extended states of nonlinear traveling-wave convection. II. Fronts and spatiotemporal defects. Phys. Rev. A 1992, 46:6452. 10.1103/PhysRevA.46.6452,
    • (1992) Phys. Rev. A , vol.46 , pp. 6452
    • Kolodner, P.1
  • 47
    • 0039842455 scopus 로고    scopus 로고
    • Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems
    • 10.1016/S0167-2789(99)00068-8
    • van Hecke M. Storm C. van Saarloos W. Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems. Physica D 1999, 134:1. 10.1016/S0167-2789(99)00068-8
    • (1999) Physica D , vol.134 , pp. 1
    • van Hecke, M.1    Storm, C.2    van Saarloos, W.3
  • 48
    • 0001828601 scopus 로고
    • Sources and sinks of wave patterns
    • 10.1016/0167-2789(93)90273-4
    • Coullet P. Frisch T. Plaza F. Sources and sinks of wave patterns. Physica D 1993, 62:75. 10.1016/0167-2789(93)90273-4
    • (1993) Physica D , vol.62 , pp. 75
    • Coullet, P.1    Frisch, T.2    Plaza, F.3
  • 49
    • 0008366676 scopus 로고
    • Erratum: Traveling waves in large-aspect-ratio thermosolutal convection
    • 10.1103/PhysRevA.37.1817, " [Phys. Rev. A 37, 1817 ]," Phys. Rev. A 38, 1661 (1988).
    • Deane A.E. Knobloch E. Toomre J. Erratum: Traveling waves in large-aspect-ratio thermosolutal convection. 1988, 10.1103/PhysRevA.37.1817" [Phys. Rev. A 37, 1817 ]," Phys. Rev. A 38, 1661 (1988).
    • (1988)
    • Deane, A.E.1    Knobloch, E.2    Toomre, J.3
  • 50
    • 0037212389 scopus 로고    scopus 로고
    • Sources and sinks in 1d traveling waves
    • 10.1016/S0167-2789(02)00683-8
    • Pastur L. Westra M.-T. van der Water W. Sources and sinks in 1d traveling waves. Physica D 2003, 174:71. 10.1016/S0167-2789(02)00683-8
    • (2003) Physica D , vol.174 , pp. 71
    • Pastur, L.1    Westra, M.-T.2    van der Water, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.