메뉴 건너뛰기




Volumn 83, Issue 1, 2011, Pages

Rayleigh and depinning instabilities of forced liquid ridges on heterogeneous substrates

Author keywords

[No Author keywords available]

Indexed keywords

DEPINNING; DISJOINING PRESSURES; DOWNSLOPE; FIRST BREAKS; HETEROGENEOUS SUBSTRATES; LIQUID RIDGES; LUBRICATION APPROXIMATIONS; PERIODIC ARRAYS; RAYLEIGH; STABILITY PROPERTIES; TRANSITION SCENARIOS; TRANSVERSE INSTABILITY;

EID: 78751496850     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.016305     Document Type: Article
Times cited : (62)

References (96)
  • 1
    • 0018671011 scopus 로고
    • ARVFA3 0066-4189 10.1146/annurev.fl.11.010179.002103
    • E. B. Dussan, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fl.11.010179.002103 11, 371 (1979).
    • (1979) Annu. Rev. Fluid Mech. , vol.11 , pp. 371
    • Dussan, E.B.1
  • 2
    • 1842695585 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.57.827
    • P.-G. de Gennes, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.57. 827 57, 827 (1985).
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 827
    • De Gennes, P.-G.1
  • 4
    • 34948897600 scopus 로고    scopus 로고
    • Vibration-induced climbing of drops
    • DOI 10.1103/PhysRevLett.99.144501
    • P. Brunet, J. Eggers, and R. D. Deegan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.144501 99, 144501 (2007). (Pubitemid 47531686)
    • (2007) Physical Review Letters , vol.99 , Issue.14 , pp. 144501
    • Brunet, P.1    Eggers, J.2    Deegan, R.D.3
  • 7
    • 24144501167 scopus 로고    scopus 로고
    • Existence of receding and advancing contact lines
    • DOI 10.1063/1.2009007, 082106
    • J. Eggers, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2009007 17, 082106 (2005). (Pubitemid 41226564)
    • (2005) Physics of Fluids , vol.17 , Issue.8 , pp. 1-10
    • Eggers, J.1
  • 8
    • 33745699241 scopus 로고    scopus 로고
    • Asymptotic theory for a moving droplet driven by a wettability gradient
    • DOI 10.1063/1.2191015
    • L. M. Pismen and U. Thiele, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2191015 18, 042104 (2006). (Pubitemid 43994710)
    • (2006) Physics of Fluids , vol.18 , Issue.4 , pp. 042104
    • Pismen, L.M.1    Thiele, U.2
  • 9
    • 77749289145 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.104.107801
    • K. John and U. Thiele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.107801 104, 107801 (2010).
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 107801
    • John, K.1    Thiele, U.2
  • 10
    • 0032104513 scopus 로고    scopus 로고
    • Simulation of droplet motion on low-energy and heterogeneous surfaces
    • DOI 10.1006/jcis.1998.5448
    • L. W. Schwartz and R. R. Eley, J. Colloid Interface Sci. JCISA5 0021-9797 10.1006/jcis.1998.5448 202, 173 (1998). (Pubitemid 28396416)
    • (1998) Journal of Colloid and Interface Science , vol.202 , Issue.1 , pp. 173-188
    • Schwartz, L.W.1    Eley, R.R.2
  • 11
  • 12
    • 0001387736 scopus 로고
    • LANGD5 0743-7463 10.1021/la00017a049
    • G. D. Nadkarni and S. Garoff, Langmuir LANGD5 0743-7463 10.1021/la00017a049 10, 1618 (1994).
    • (1994) Langmuir , vol.10 , pp. 1618
    • Nadkarni, G.D.1    Garoff, S.2
  • 15
    • 0022025113 scopus 로고
    • LANGD5 0743-7463 10.1021/la00062a007
    • L. W. Schwartz and S. Garoff, Langmuir LANGD5 0743-7463 10.1021/la00062a007 1, 219 (1985).
    • (1985) Langmuir , vol.1 , pp. 219
    • Schwartz, L.W.1    Garoff, S.2
  • 16
    • 0001371920 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.458579
    • J. F. Joanny and M. O. Robbins, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.458579 92, 3206 (1990).
    • (1990) J. Chem. Phys. , vol.92 , pp. 3206
    • Joanny, J.F.1    Robbins, M.O.2
  • 17
    • 4243984768 scopus 로고    scopus 로고
    • JCPSA6 1539-3755 10.1103/PhysRevE.61.5257
    • E. Schäffer and P. Z. Wong, Phys. Rev. E JCPSA6 1539-3755 10.1103/PhysRevE.61.5257 61, 5257 (2000).
    • (2000) Phys. Rev. e , vol.61 , pp. 5257
    • Schäffer, E.1    Wong, P.Z.2
  • 18
    • 0035394962 scopus 로고    scopus 로고
    • JCPSA6 1539-3755 10.1103/PhysRevE.64.011601
    • P. Roura and J. Fort, Phys. Rev. E JCPSA6 1539-3755 10.1103/PhysRevE.64. 011601 64, 011601 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 011601
    • Roura, P.1    Fort, J.2
  • 19
    • 0037559966 scopus 로고
    • RPPHAG 0034-4885 10.1088/0034-4885/55/4/001
    • L. Leger and J. F. Joanny, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/55/4/001 55, 431 (1992).
    • (1992) Rep. Prog. Phys. , vol.55 , pp. 431
    • Leger, L.1    Joanny, J.F.2
  • 20
    • 0023310688 scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/3/6/013
    • M. O. Robbins and J. F. Joanny, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/3/6/013 3, 729 (1987).
    • (1987) Europhys. Lett. , vol.3 , pp. 729
    • Robbins, M.O.1    Joanny, J.F.2
  • 21
    • 0000492165 scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.49.R2532
    • D. Ertas and M. Kardar, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.49.R2532 49, R2532 (1994).
    • (1994) Phys. Rev. e , vol.49 , pp. 2532
    • Ertas, D.1    Kardar, M.2
  • 22
    • 0035796134 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2001-00607-5
    • R. Golestanian and E. Raphaël, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00607-5 55, 228 (2001).
    • (2001) Europhys. Lett. , vol.55 , pp. 228
    • Golestanian, R.1    Raphaël, E.2
  • 28
    • 27744513142 scopus 로고    scopus 로고
    • Shape and motion of drops sliding down an inclined plane
    • DOI 10.1017/S0022112005006105, PII S0022112005006105
    • N. Le Grand, A. Daerr, and L. Limat, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005006105 541, 293 (2005). (Pubitemid 41581905)
    • (2005) Journal of Fluid Mechanics , vol.541 , pp. 293-315
    • Le Grand, N.1    Daerr, A.2    Limat, L.3
  • 30
    • 0003069976 scopus 로고
    • LANGD5 0743-7463 10.1021/la00086a025
    • F. Brochard, Langmuir LANGD5 0743-7463 10.1021/la00086a025 5, 432 (1989).
    • (1989) Langmuir , vol.5 , pp. 432
    • Brochard, F.1
  • 32
    • 0001324365 scopus 로고
    • SCIEAS 0036-8075 10.1126/science.256.5063.1539
    • M. K. Chaudhury and G. M. Whitesides, Science SCIEAS 0036-8075 10.1126/science.256.5063.1539 256, 1539 (1992).
    • (1992) Science , vol.256 , pp. 1539
    • Chaudhury, M.K.1    Whitesides, G.M.2
  • 33
    • 0035951466 scopus 로고    scopus 로고
    • Fast drop movements resulting from the phase change on a gradient surface
    • DOI 10.1126/science.291.5504.633
    • S. Daniel, M. K. Chaudhury, and J. C. Chen, Science SCIEAS 0036-8075 10.1126/science.291.5504.633 291, 633 (2001). (Pubitemid 32150418)
    • (2001) Science , vol.291 , Issue.5504 , pp. 633-636
    • Daniel, S.1    Chaudhury, M.K.2    Chen, J.C.3
  • 34
    • 0037198198 scopus 로고    scopus 로고
    • Rectified motion of liquid drops on gradient surfaces induced by vibration
    • DOI 10.1021/la025505c
    • S. Daniel and M. K. Chaudhury, Langmuir LANGD5 0743-7463 10.1021/la025505c 18, 3404 (2002). (Pubitemid 35383690)
    • (2002) Langmuir , vol.18 , Issue.9 , pp. 3404-3407
    • Daniel, S.1    Chaudhury, M.K.2
  • 35
    • 2542419790 scopus 로고    scopus 로고
    • EPJBFY 1434-6028 10.1140/epjb/e2004-00037-9
    • S. Moulinet, C. Guthmann, and E. Rolley, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2004-00037-9 37, 127 (2004).
    • (2004) Eur. Phys. J. B , vol.37 , pp. 127
    • Moulinet, S.1    Guthmann, C.2    Rolley, E.3
  • 36
    • 32644471159 scopus 로고    scopus 로고
    • Can nonlinear elasticity explain contact-line roughness at depinning?
    • DOI 10.1103/PhysRevLett.96.015702
    • P. Le Doussal, K. J. Wiese, E. Raphaël, and R. Golestanian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.015702 96, 015702 (2006). (Pubitemid 43248368)
    • (2006) Physical Review Letters , vol.96 , Issue.1 , pp. 015702
    • Le Doussal, P.1    Wiese, K.J.2    Raphael, E.3    Golestanian, R.4
  • 37
    • 0000925082 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.456191
    • E. Raphaël and P. G. de Gennes, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.456191 90, 7577 (1989).
    • (1989) J. Chem. Phys. , vol.90 , pp. 7577
    • Raphaël, E.1    De Gennes, P.G.2
  • 38
    • 0000316214 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.71.2433
    • J. A. Marsh and A. M. Cazabat, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.2433 71, 2433 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 2433
    • Marsh, J.A.1    Cazabat, A.M.2
  • 39
    • 33845532086 scopus 로고    scopus 로고
    • On the depinning of a driven drop on a heterogeneous substrate
    • DOI 10.1088/1367-2630/8/12/313, PII S1367263006315741
    • U. Thiele and E. Knobloch, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/12/313 8, 313 (2006). (Pubitemid 44927400)
    • (2006) New Journal of Physics , vol.8 , pp. 313
    • Thiele, U.1    Knobloch, E.2
  • 40
    • 33751092571 scopus 로고    scopus 로고
    • Driven drops on heterogeneous substrates: Onset of sliding motion
    • DOI 10.1103/PhysRevLett.97.204501
    • U. Thiele and E. Knobloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.204501 97, 204501 (2006). (Pubitemid 44771658)
    • (2006) Physical Review Letters , vol.97 , Issue.20 , pp. 204501
    • Thiele, U.1    Knobloch, E.2
  • 41
    • 79051470181 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/86/24006
    • P. Beltrame, P. Hänggi, and U. Thiele, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/86/24006 86, 24006 (2009).
    • (2009) Europhys. Lett. , vol.86 , pp. 24006
    • Beltrame, P.1    Hänggi, P.2    Thiele, U.3
  • 44
    • 0345357119 scopus 로고    scopus 로고
    • Advancing contact lines on chemically patterned surfaces
    • DOI 10.1016/j.jcis.2003.08.008
    • T. Cubaud and A. Fermigier, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/j.jcis.2003.08.008 269, 171 (2004). (Pubitemid 37491009)
    • (2004) Journal of Colloid and Interface Science , vol.269 , Issue.1 , pp. 171-177
    • Cubaud, T.1    Fermigier, M.2
  • 45
    • 65249138674 scopus 로고    scopus 로고
    • LANGD5 0743-7463 10.1021/la803801y
    • X. Y. Zhang and Y. L. Mi, Langmuir LANGD5 0743-7463 10.1021/la803801y 25, 3212 (2009).
    • (2009) Langmuir , vol.25 , pp. 3212
    • Zhang, X.Y.1    Mi, Y.L.2
  • 46
    • 0034642518 scopus 로고    scopus 로고
    • Nanoscopic channel lattices with controlled anisotropic wetting
    • DOI 10.1038/35003149
    • M. Gleiche, L. F. Chi, and H. Fuchs, Nature (London) NATUAS 0028-0836 10.1038/35003149 403, 173 (2000). (Pubitemid 30050955)
    • (2000) Nature , vol.403 , Issue.6766 , pp. 173-175
    • Glelche, M.1    Chi, L.F.2    Fuchs, H.3
  • 48
    • 0037531650 scopus 로고    scopus 로고
    • Thermocapillary actuation of liquid flow on chemically patterned surfaces
    • DOI 10.1063/1.1562628
    • A. A. Darhuber, J. M. Davis, S. M. Troian, and W. W. Reisner, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1562628 15, 1295 (2003). (Pubitemid 36755642)
    • (2003) Physics of Fluids , vol.15 , Issue.5 , pp. 1295-1304
    • Darhuber, A.A.1    Davis, J.M.2    Troian, S.M.3    Reisner, W.W.4
  • 52
    • 78751502053 scopus 로고    scopus 로고
    • e-print arXiv: 1010.2920, J. Fluid. Mech. (to be published).
    • U. Thiele, e-print arXiv: 1010.2920, J. Fluid. Mech. (to be published).
    • Thiele, U.1
  • 56
    • 0002033106 scopus 로고
    • 0370-1662 10.1098/rspl.1879.0015
    • Lord Rayleigh, Proc. R. Soc. London 0370-1662 10.1098/rspl.1879.0015 29, 71 (1879).
    • (1879) Proc. R. Soc. London , vol.29 , pp. 71
    • Rayleigh, L.1
  • 57
    • 0019021047 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112080000110
    • S. H. Davis, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112080000110 98, 225 (1980).
    • (1980) J. Fluid Mech. , vol.98 , pp. 225
    • Davis, S.H.1
  • 58
    • 0028532913 scopus 로고
    • MRCOD2 0093-6413 10.1016/0093-6413(94)90025-6
    • M. Grinfeld, Mech. Res. Commun. MRCOD2 0093-6413 10.1016/0093-6413(94) 90025-6 21, 613 (1994).
    • (1994) Mech. Res. Commun. , vol.21 , pp. 613
    • Grinfeld, M.1
  • 59
    • 4344688306 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112081001778
    • R. H. Weiland and S. H. Davis, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112081001778 107, 261 (1981).
    • (1981) J. Fluid Mech. , vol.107 , pp. 261
    • Weiland, R.H.1    Davis, S.H.2
  • 60
    • 0031480080 scopus 로고    scopus 로고
    • Long-scale evolution of thin liquid films
    • DOI 10.1103/RevModPhys.69.931
    • A. Oron, S. H. Davis, and S. G. Bankoff, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.69.931 69, 931 (1997). (Pubitemid 127098261)
    • (1997) Reviews of Modern Physics , vol.69 , Issue.3 , pp. 931-980
    • Oron, A.1    Davis, S.H.2    Bankoff, S.G.3
  • 61
    • 36849025768 scopus 로고    scopus 로고
    • edited by S. Kalliadasis and U. Thiele (Springer, Vienna
    • Thin Films of Soft Matter, edited by, S. Kalliadasis, and, U. Thiele, (Springer, Vienna, 2007).
    • (2007) Thin Films of Soft Matter
  • 63
    • 0000982689 scopus 로고
    • LANGD5 0743-7463 10.1021/la00027a042
    • A. Sharma, Langmuir LANGD5 0743-7463 10.1021/la00027a042 9, 861 (1993).
    • (1993) Langmuir , vol.9 , pp. 861
    • Sharma, A.1
  • 64
    • 39249085571 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.016104
    • U. Thiele, M. G. Velarde, and K. Neuffer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.016104 87, 016104 (2001).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 016104
    • Thiele, U.1    Velarde, M.G.2    Neuffer, K.3
  • 66
    • 0000104024 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.81.3463
    • A. Sharma and R. Khanna, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3463 81, 3463 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 3463
    • Sharma, A.1    Khanna, R.2
  • 67
    • 0000749391 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.478378
    • A. Sharma and R. Khanna, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.478378 110, 4929 (1999).
    • (1999) J. Chem. Phys. , vol.110 , pp. 4929
    • Sharma, A.1    Khanna, R.2
  • 70
    • 1142293223 scopus 로고    scopus 로고
    • EPJSFH 1292-8941 10.1140/epje/e2004-00009-4
    • U. Thiele, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2004-00009-4 12, 409 (2003).
    • (2003) Eur. Phys. J. e , vol.12 , pp. 409
    • Thiele, U.1
  • 74
    • 0035604753 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/14/6/309
    • A. L. Bertozzi, G. Grün, and T. P. Witelski, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/14/6/309 14, 1569 (2001).
    • (2001) Nonlinearity , vol.14 , pp. 1569
    • Bertozzi, A.L.1    Grün, G.2    Witelski, T.P.3
  • 76
    • 15744367104 scopus 로고    scopus 로고
    • The thin-film equation: Recent advances and some new perspectives
    • DOI 10.1088/0953-8984/17/9/002, Wetting
    • J. Becker and G. Grün, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/9/002 17, S291 (2005). (Pubitemid 40407984)
    • (2005) Journal of Physics Condensed Matter , vol.17 , Issue.9
    • Becker, J.1    Grun, G.2
  • 78
    • 0030837095 scopus 로고    scopus 로고
    • Stability of slender liquid bridges subjected to axial flows
    • DOI 10.1017/S0022112096003709
    • B. J. Lowry and P. H. Steen, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112096003709 330, 189 (1997). (Pubitemid 27296126)
    • (1997) Journal of Fluid Mechanics , vol.330 , pp. 189-213
    • Lowry, B.J.1    Steen, P.H.2
  • 80
    • 23044481217 scopus 로고    scopus 로고
    • Stability of liquid channels or filaments in the presence of line tension
    • DOI 10.1088/0953-8984/17/15/008
    • M. Brinkmann, J. Kierfeld, and R. Lipowsky, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/15/008 17, 2349 (2005). (Pubitemid 41237131)
    • (2005) Journal of Physics Condensed Matter , vol.17 , Issue.15 , pp. 2349-2364
    • Brinkmann, M.1    Kierfeld, J.2    Lipowsky, R.3
  • 81
    • 33846100700 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/19/12/005
    • J. R. King, A. Münch, and B. Wagner, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/19/12/005 19, 2813 (2006).
    • (2006) Nonlinearity , vol.19 , pp. 2813
    • King, J.R.1    Münch, A.2    Wagner, B.3
  • 82
    • 46349109909 scopus 로고    scopus 로고
    • NONLE5 1539-3755 10.1103/PhysRevE.77.061605
    • S. Mechkov, M. Rauscher, and S. Dietrich, Phys. Rev. E NONLE5 1539-3755 10.1103/PhysRevE.77.061605 77, 061605 (2008).
    • (2008) Phys. Rev. e , vol.77 , pp. 061605
    • Mechkov, S.1    Rauscher, M.2    Dietrich, S.3
  • 83
    • 18744378249 scopus 로고    scopus 로고
    • Wetting morphologies on substrates with striped surface domains
    • DOI 10.1063/1.1506003
    • M. Brinkmann and R. Lipowsky, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1506003 92, 4296 (2002). (Pubitemid 35328293)
    • (2002) Journal of Applied Physics , vol.92 , Issue.8 , pp. 4296
    • Brinkmann, M.1    Lipowsky, R.2
  • 84
    • 0039572119 scopus 로고    scopus 로고
    • 2 steady-state mode interaction
    • DOI 10.1088/0951-7715/11/1/007
    • P. Hirschberg and E. Knobloch, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/11/1/007 11, 89 (1998). (Pubitemid 128106280)
    • (1998) Nonlinearity , vol.11 , Issue.1 , pp. 89-104
    • Hirschberg, P.1    Knobloch, E.2
  • 85
    • 1142303895 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/j.physd.2003.09.048
    • U. Thiele and E. Knobloch, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.09.048 190, 213 (2004).
    • (2004) Physica D , vol.190 , pp. 213
    • Thiele, U.1    Knobloch, E.2
  • 86
    • 0037464964 scopus 로고    scopus 로고
    • Dynamics of target patterns in low-Prandtl-number convection
    • DOI 10.1017/S0022112002002896
    • J. H. Siggers, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112002002896 475, 357 (2003). (Pubitemid 36251654)
    • (2003) Journal of Fluid Mechanics , vol.475 , pp. 357-375
    • Siggers, J.H.1
  • 87
    • 34748909407 scopus 로고    scopus 로고
    • The cusp-Hopf bifurcation
    • DOI 10.1142/S0218127407018622, PII S0218127407018622
    • J. Harlim and W. F. Langford, Int. J. Bifurcation Chaos Appl. Sci. Eng IJBEE4 0218-1274 10.1142/S0218127407018622 17, 2547 (2007). (Pubitemid 47479142)
    • (2007) International Journal of Bifurcation and Chaos , vol.17 , Issue.8 , pp. 2547-2570
    • Harlim, J.1    Langford, W.F.2
  • 89
    • 2942566386 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/j.physd.2004.02.002
    • P. Ashwin, A. M. Rucklidge, and R. Sturman, Physica D PDNPDT 0167-2789 10.1016/j.physd.2004.02.002 194, 30 (2004).
    • (2004) Physica D , vol.194 , pp. 30
    • Ashwin, P.1    Rucklidge, A.M.2    Sturman, R.3
  • 90
    • 3142771892 scopus 로고    scopus 로고
    • A planar model system for the saddle-node Hopf bifurcation with global reinjection
    • DOI 10.1088/0951-7715/17/4/001, PII S0951771504677905
    • B. Krauskopf and B. E. Oldeman, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/17/4/001 17, 1119 (2004). (Pubitemid 38919687)
    • (2004) Nonlinearity , vol.17 , Issue.4 , pp. 1119-1151
    • Krauskopf, B.1    Oldeman, B.E.2
  • 91
    • 0010534650 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/10/5/006
    • G. Dangelmayr, J. Hettel, and E. Knobloch, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/10/5/006 10, 1093 (1997).
    • (1997) Nonlinearity , vol.10 , pp. 1093
    • Dangelmayr, G.1    Hettel, J.2    Knobloch, E.3
  • 92
    • 33747418994 scopus 로고    scopus 로고
    • Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation
    • DOI 10.1088/0951-7715/19/9/010, PII S0951771506240027, 010
    • B. Krauskopf and B. E. Oldeman, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/19/9/010 19, 2149 (2006). (Pubitemid 44249948)
    • (2006) Nonlinearity , vol.19 , Issue.9 , pp. 2149-2167
    • Krauskopf, B.1    Oldeman, B.E.2
  • 95
    • 0000535386 scopus 로고
    • NONLE5 1539-3755 10.1103/PhysRevE.48.2704
    • F. Melo, Phys. Rev. E NONLE5 1539-3755 10.1103/PhysRevE.48.2704 48, 2704 (1993).
    • (1993) Phys. Rev. e , vol.48 , pp. 2704
    • Melo, F.1
  • 96
    • 0031144030 scopus 로고    scopus 로고
    • EXFLDU 0723-4864 10.1007/s003480050080
    • S. T. Thoroddsen and L. Mahadevan, Exp. Fluids EXFLDU 0723-4864 10.1007/s003480050080 23, 1 (1997).
    • (1997) Exp. Fluids , vol.23 , pp. 1
    • Thoroddsen, S.T.1    Mahadevan, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.