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Volumn 238, Issue 4, 2009, Pages 449-460

Unstable periodic solution controlling collision of localized convection cells in binary fluid mixture

Author keywords

Binary fluid; Dissipative systems; Pulse collision

Indexed keywords

FEEDBACK CONTROL;

EID: 58849083623     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2008.11.010     Document Type: Article
Times cited : (9)

References (37)
  • 1
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross M.C., and Hohenberg P.C. Pattern formation outside of equilibrium. Rev. Modern Phys. 65 (1993) 851-1112
    • (1993) Rev. Modern Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 2
    • 0000248451 scopus 로고
    • Les tourbillons cellulaires dans une nappe liquide
    • Benard H. Les tourbillons cellulaires dans une nappe liquide. Rev. Gen. Sci. Pures. Appl. 11 (1900) 1261
    • (1900) Rev. Gen. Sci. Pures. Appl. , vol.11 , pp. 1261
    • Benard, H.1
  • 3
    • 35949006299 scopus 로고
    • Convection in binary fluid mixtures, I. Extended traveling-wave and stationary states
    • Barten W., Lücke M., Kamps M., and Schmits R. Convection in binary fluid mixtures, I. Extended traveling-wave and stationary states. Phys. Rev. E 51 (1995) 5636-5661
    • (1995) Phys. Rev. E , vol.51 , pp. 5636-5661
    • Barten, W.1    Lücke, M.2    Kamps, M.3    Schmits, R.4
  • 4
    • 0032620987 scopus 로고    scopus 로고
    • Onset of oscillatory binary fluid convection in finite containers
    • Batiste O., Mercader I., Net M., and Knobloch E. Onset of oscillatory binary fluid convection in finite containers. Phys. Rev. E. 59 (1999) 6730-6741
    • (1999) Phys. Rev. E. , vol.59 , pp. 6730-6741
    • Batiste, O.1    Mercader, I.2    Net, M.3    Knobloch, E.4
  • 5
    • 0035848250 scopus 로고    scopus 로고
    • Oscillatory binary fluid convection in large aspect-ratio containers
    • Batiste O., Net M., Mercader I., and Knobloch E. Oscillatory binary fluid convection in large aspect-ratio containers. Phys. Rev. Lett. 86 (2001) 2309-2312
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2309-2312
    • Batiste, O.1    Net, M.2    Mercader, I.3    Knobloch, E.4
  • 6
    • 10844249320 scopus 로고    scopus 로고
    • Oscillatory convection in binary mixtures: Thermodiffusion, solutal buoyancy and advection
    • Jung D., Matura P., and Lücke M. Oscillatory convection in binary mixtures: Thermodiffusion, solutal buoyancy and advection. Eur. Phys. J. E 15 (2004) 293-304
    • (2004) Eur. Phys. J. E , vol.15 , pp. 293-304
    • Jung, D.1    Matura, P.2    Lücke, M.3
  • 7
    • 0001292384 scopus 로고
    • Localized traveling-wave convection in binary fluid mixtures, I. Extended traveling-wave and stationary states
    • Barten W., Lücke M., and Kamps M. Localized traveling-wave convection in binary fluid mixtures, I. Extended traveling-wave and stationary states. Phys. Rev. Lett. 66 (1991) 2621-2624
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2621-2624
    • Barten, W.1    Lücke, M.2    Kamps, M.3
  • 8
    • 5544288130 scopus 로고
    • Traveling waves and spatial variation in the convection of a binary mixture
    • Heinrichs R., Ahlers G., and Cannell D.S. Traveling waves and spatial variation in the convection of a binary mixture. Phys. Rev. A 35 (1987) 2761-2764
    • (1987) Phys. Rev. A , vol.35 , pp. 2761-2764
    • Heinrichs, R.1    Ahlers, G.2    Cannell, D.S.3
  • 9
    • 0000113215 scopus 로고
    • Multistability and confined traveling-wave patterns in a convecting binary mixture
    • Moses E., Fineberg J., and Steinberg V. Multistability and confined traveling-wave patterns in a convecting binary mixture. Phys. Rev. A 35 (1987) 2757-2760
    • (1987) Phys. Rev. A , vol.35 , pp. 2757-2760
    • Moses, E.1    Fineberg, J.2    Steinberg, V.3
  • 10
    • 33744855925 scopus 로고
    • Collisions between pulses of traveling-wave convection
    • Kolodner P. Collisions between pulses of traveling-wave convection. Phys. Rev. A 44 (1991) 6466-6479
    • (1991) Phys. Rev. A , vol.44 , pp. 6466-6479
    • Kolodner, P.1
  • 11
    • 0039670300 scopus 로고
    • Interaction of nonlinear pulses in convection in binary fluids
    • Glazier J.A., and Kolodner P. Interaction of nonlinear pulses in convection in binary fluids. Phys. Rev. A 43 (1991) 4269-4280
    • (1991) Phys. Rev. A , vol.43 , pp. 4269-4280
    • Glazier, J.A.1    Kolodner, P.2
  • 12
    • 11944269782 scopus 로고
    • Localized traveling-wave states in binary-fluid convection
    • Niemela J.J., Ahlers G., and Cannell D.S. Localized traveling-wave states in binary-fluid convection. Phys. Rev. Lett. 64 (1990) 1365-1368
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1365-1368
    • Niemela, J.J.1    Ahlers, G.2    Cannell, D.S.3
  • 14
    • 42749108966 scopus 로고    scopus 로고
    • Scattering and separators in dissipative systems
    • Nishiura Y., Teramoto T., and Ueda K.-I. Scattering and separators in dissipative systems. Phys. Rev. E 67 (2003) 056210
    • (2003) Phys. Rev. E , vol.67 , pp. 056210
    • Nishiura, Y.1    Teramoto, T.2    Ueda, K.-I.3
  • 15
    • 0141566670 scopus 로고    scopus 로고
    • Dynamic transitions through scattors in dissipative systems
    • Nishiura Y., Teramoto T., and Ueda K.-I. Dynamic transitions through scattors in dissipative systems. Chaos 13 (2003) 962-972
    • (2003) Chaos , vol.13 , pp. 962-972
    • Nishiura, Y.1    Teramoto, T.2    Ueda, K.-I.3
  • 16
    • 37649030205 scopus 로고    scopus 로고
    • Phase-dependent output of scattering process for traveling breathers
    • Teramoto T., Ueda K., and Nishiura Y. Phase-dependent output of scattering process for traveling breathers. Phys. Rev. E 69 (2004) 056224
    • (2004) Phys. Rev. E , vol.69 , pp. 056224
    • Teramoto, T.1    Ueda, K.2    Nishiura, Y.3
  • 17
    • 0021310291 scopus 로고
    • Autocatalytic reactions in the isothermal, continuous stirred tank reactor, Oscillations and instabilities in the system A + 2 B → 3 B ; B → C
    • Gray P., and Scott S.K. Autocatalytic reactions in the isothermal, continuous stirred tank reactor, Oscillations and instabilities in the system A + 2 B → 3 B ; B → C. Chem. Eng. Sci. 39 (1984) 1087
    • (1984) Chem. Eng. Sci. , vol.39 , pp. 1087
    • Gray, P.1    Scott, S.K.2
  • 19
    • 29844434173 scopus 로고    scopus 로고
    • Scattering of traveling spots in dissipative systems
    • Nishiura Y., Teramoto T., and Ueda K.-I. Scattering of traveling spots in dissipative systems. Chaos 15 (2005) 047509
    • (2005) Chaos , vol.15 , pp. 047509
    • Nishiura, Y.1    Teramoto, T.2    Ueda, K.-I.3
  • 20
    • 34347392154 scopus 로고    scopus 로고
    • Collision of localized traveling-wave convection cells in binary fluid
    • Proceedings of the 5th East Asia PDE Conference. Osaka, Japan
    • Iima M., and Nishiura Y. Collision of localized traveling-wave convection cells in binary fluid. Proceedings of the 5th East Asia PDE Conference. Osaka, Japan. GAKUTO Int. Series, Math. Sc. and Appl. vol. 22 (2005) 289-303
    • (2005) GAKUTO Int. Series, Math. Sc. and Appl. , vol.22 , pp. 289-303
    • Iima, M.1    Nishiura, Y.2
  • 21
    • 0000572252 scopus 로고
    • Ginzburg-Landau equation coupled to a concentration field in binary-mixture convection
    • Riecke H. Ginzburg-Landau equation coupled to a concentration field in binary-mixture convection. Physica D 61 (1992) 253-259
    • (1992) Physica D , vol.61 , pp. 253-259
    • Riecke, H.1
  • 22
    • 0001311229 scopus 로고
    • Self-trapping of traveling-wave pulses in binary mixture convection
    • Riecke H. Self-trapping of traveling-wave pulses in binary mixture convection. Phys. Rev. Lett. 68 (1992) 301-304
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 301-304
    • Riecke, H.1
  • 23
    • 84956080427 scopus 로고
    • Multicritical behaviour in binary fluid convection
    • Schöpf W., and Zimmermann W. Multicritical behaviour in binary fluid convection. Europhys. Lett. 8 (1989) 41-46
    • (1989) Europhys. Lett. , vol.8 , pp. 41-46
    • Schöpf, W.1    Zimmermann, W.2
  • 24
    • 0003078274 scopus 로고
    • Symmetry and symmetry-breaking bifurcations in fluid dynamics
    • Crawford J.D., and Knobloch E. Symmetry and symmetry-breaking bifurcations in fluid dynamics. Ann. Rev. Fluid Mech. 23 (1991) 341-387
    • (1991) Ann. Rev. Fluid Mech. , vol.23 , pp. 341-387
    • Crawford, J.D.1    Knobloch, E.2
  • 25
    • 36149031998 scopus 로고
    • Amplitude equations for traveling wave convection
    • Knobloch E., and De Luca J. Amplitude equations for traveling wave convection. Nonlinearity 3 (1990) 975-980
    • (1990) Nonlinearity , vol.3 , pp. 975-980
    • Knobloch, E.1    De Luca, J.2
  • 26
    • 0001148075 scopus 로고
    • Coexisting pulses in a model for binary-mixture convection
    • Riecke H., and Rappel W.-J. Coexisting pulses in a model for binary-mixture convection. Phys. Rev. Lett. 75 (1995) 4035-4038
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 4035-4038
    • Riecke, H.1    Rappel, W.-J.2
  • 27
    • 17744398726 scopus 로고
    • Attractive interaction between pulses in a model for convection in binary mixtures
    • Riecke H. Attractive interaction between pulses in a model for convection in binary mixtures. Phys. Rev. E 52 (1995) 5685-5687
    • (1995) Phys. Rev. E , vol.52 , pp. 5685-5687
    • Riecke, H.1
  • 28
    • 0002516381 scopus 로고    scopus 로고
    • Solitary waves under the influence of a long-wave mode
    • Riecke H. Solitary waves under the influence of a long-wave mode. Physica D 92 (1996) 69-94
    • (1996) Physica D , vol.92 , pp. 69-94
    • Riecke, H.1
  • 29
    • 4243574426 scopus 로고
    • Drifting pulses of traveling-wave convection
    • Kolodner P. Drifting pulses of traveling-wave convection. Phys. Rev. Lett. 66 (1991) 1165-1168
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 1165-1168
    • Kolodner, P.1
  • 31
    • 35348973593 scopus 로고    scopus 로고
    • Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation
    • Postlethwaite C.M., and Silber M. Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation. Physica D 236 (2007) 65-74
    • (2007) Physica D , vol.236 , pp. 65-74
    • Postlethwaite, C.M.1    Silber, M.2
  • 33
    • 0035951045 scopus 로고    scopus 로고
    • Periodic motion embedded in plane Couette turbulence: Regeneration cycle and burst
    • Kawahara G., and Kida S. Periodic motion embedded in plane Couette turbulence: Regeneration cycle and burst. J. Fluid. Mech. 449 (2001) 291-300
    • (2001) J. Fluid. Mech. , vol.449 , pp. 291-300
    • Kawahara, G.1    Kida, S.2
  • 34
    • 0038814126 scopus 로고    scopus 로고
    • A periodic-like solution in channel flow
    • Toh S., and Itano T. A periodic-like solution in channel flow. J. Fluid. Mech. 481 (2003) 67-76
    • (2003) J. Fluid. Mech. , vol.481 , pp. 67-76
    • Toh, S.1    Itano, T.2
  • 35
    • 34250315551 scopus 로고
    • Continuous control of chaos by self-controlling feedback
    • Pyragas K. Continuous control of chaos by self-controlling feedback. Phys. Lett. A 170 (1992) 421-428
    • (1992) Phys. Lett. A , vol.170 , pp. 421-428
    • Pyragas, K.1
  • 37
    • 0038400143 scopus 로고    scopus 로고
    • Improvement of time-delayed feedback control by periodic modulation: Analytical theory of Floquet mode control scheme
    • Just W., Popovich S., Amann A., Baba N., and Schöll E. Improvement of time-delayed feedback control by periodic modulation: Analytical theory of Floquet mode control scheme. Phys. Rev. E 67 (2003) 026222
    • (2003) Phys. Rev. E , vol.67 , pp. 026222
    • Just, W.1    Popovich, S.2    Amann, A.3    Baba, N.4    Schöll, E.5


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