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Volumn 144, Issue 1, 2000, Pages 169-193

Transport and bifurcation in a non-area-preserving two-dimensional map with applications to the discharge of pollution in an estuarine flow

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DISCHARGE (FLUID MECHANICS); ESTUARIES; FLOW PATTERNS; MAPS; MATHEMATICAL MODELS; TURBULENCE; TURBULENT FLOW; WATER POLLUTION;

EID: 0034273325     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00054-3     Document Type: Article
Times cited : (9)

References (55)
  • 3
    • 0010890055 scopus 로고
    • Symplectic maps, variational principles and transport
    • Meiss J.D. Symplectic maps, variational principles and transport. Rev. Mod. Phys. 64:1992;795-848.
    • (1992) Rev. Mod. Phys. , vol.64 , pp. 795-848
    • Meiss, J.D.1
  • 4
    • 0003272505 scopus 로고
    • Global Bifurcations and Chaos: Analytical Methods
    • Springer, Berlin
    • S. Wiggins, Global Bifurcations and Chaos: Analytical Methods, Applied Mathematical Sciences, Springer, Berlin, 1988.
    • (1988) Applied Mathematical Sciences
    • Wiggins, S.1
  • 5
    • 0006044307 scopus 로고    scopus 로고
    • Chaos Near Resonance
    • Springer, New York
    • G. Haller, Chaos Near Resonance, Applied Mathematical Sciences, Vol. 138, Springer, New York, 1999.
    • (1999) Applied Mathematical Sciences , vol.138
    • Haller, G.1
  • 6
    • 0030153058 scopus 로고    scopus 로고
    • Chaotic advection in three-dimensional unsteady incompressible laminar flow
    • Cartwright J.H.E., Feingold M., Piro O. Chaotic advection in three-dimensional unsteady incompressible laminar flow. J. Fluid Mech. 316:1996;259-284.
    • (1996) J. Fluid Mech. , vol.316 , pp. 259-284
    • Cartwright, J.H.E.1    Feingold, M.2    Piro, O.3
  • 7
    • 34249763397 scopus 로고
    • On the integrability and perturbation of three-dimensional fluid flows with symmetry
    • Mezic I. On the integrability and perturbation of three-dimensional fluid flows with symmetry. J. Nonlinear Sci. 4:1994;157-194.
    • (1994) J. Nonlinear Sci. , vol.4 , pp. 157-194
    • Mezic, I.1
  • 8
    • 0001108687 scopus 로고    scopus 로고
    • Regular and chaotic particle motion near a helical vortex filament
    • Mezic I., Leonard A., Wiggins S. Regular and chaotic particle motion near a helical vortex filament. Physica D. 111:1998;179-201.
    • (1998) Physica D , vol.111 , pp. 179-201
    • Mezic, I.1    Leonard, A.2    Wiggins, S.3
  • 9
    • 0039065198 scopus 로고    scopus 로고
    • Reduction of three-dimensional, volume preserving flows with symmetry
    • Haller G., Mezic I. Reduction of three-dimensional, volume preserving flows with symmetry. Nonlinearity. 11(2):1998;319-339.
    • (1998) Nonlinearity , vol.11 , Issue.2 , pp. 319-339
    • Haller, G.1    Mezic, I.2
  • 11
    • 0010425523 scopus 로고    scopus 로고
    • Symmetry breaking perturbations and strange attractors
    • Hinenzon A.L., Rom-Kedar V. Symmetry breaking perturbations and strange attractors. Phys. Rev. E. 55(5):1997;4964-4978.
    • (1997) Phys. Rev. e , vol.55 , Issue.5 , pp. 4964-4978
    • Hinenzon, A.L.1    Rom-Kedar, V.2
  • 13
    • 0021443337 scopus 로고
    • Stirring by chaotic advection
    • Aref H.F. Stirring by chaotic advection. J. Fluid Mech. 143:1984;1-21.
    • (1984) J. Fluid Mech. , vol.143 , pp. 1-21
    • Aref, H.F.1
  • 14
    • 0002821629 scopus 로고
    • Chaos applied to fluid mixing
    • (Guest Ed.)
    • H.F. Aref (Guest Ed.), Chaos applied to fluid mixing, Chaos Solitons Fractals 4 (1994) 6.
    • (1994) Chaos Solitons Fractals , vol.4 , pp. 6
    • Aref, H.F.1
  • 15
    • 0005737427 scopus 로고
    • Dynamical systems, deterministic chaos and dispersion in shallow tidal flows
    • Springer, Heidelberg
    • R. Pasmanter, Dynamical systems, deterministic chaos and dispersion in shallow tidal flows, in: Physical Processes in Estuaries, Springer, Heidelberg, 1988, pp. 42-52.
    • (1988) In: Physical Processes in Estuaries , pp. 42-52
    • Pasmanter, R.1
  • 16
    • 0027044034 scopus 로고
    • Chaotic stirring in a tidal system
    • Ridderinkhof H., Zimmerman J.F.T. Chaotic stirring in a tidal system. Science. 258:1986;1107-1111.
    • (1986) Science , vol.258 , pp. 1107-1111
    • Ridderinkhof, H.1    Zimmerman, J.F.T.2
  • 20
    • 0033245875 scopus 로고    scopus 로고
    • Chaos in the dynamics generated by sequences of maps, with applications to chaotic advection in flows with aperiodic time dependancy
    • Wiggins S. Chaos in the dynamics generated by sequences of maps, with applications to chaotic advection in flows with aperiodic time dependancy. Z. Angew. Math. Phys. 50(4):1999;585-616.
    • (1999) Z. Angew. Math. Phys. , vol.50 , Issue.4 , pp. 585-616
    • Wiggins, S.1
  • 21
    • 0001549406 scopus 로고    scopus 로고
    • Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time dependancy, with applications to Rossby wave flow
    • Malhotra N., Wiggins S. Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time dependancy, with applications to Rossby wave flow. J. Nonlinear Sci. 8(4):1998;401-456.
    • (1998) J. Nonlinear Sci. , vol.8 , Issue.4 , pp. 401-456
    • Malhotra, N.1    Wiggins, S.2
  • 22
    • 0001229490 scopus 로고    scopus 로고
    • Finite time transport in aperiodic flows
    • Haller G., Poje A.C. Finite time transport in aperiodic flows. Physica D. 119:1998;352-380.
    • (1998) Physica D , vol.119 , pp. 352-380
    • Haller, G.1    Poje, A.C.2
  • 23
    • 0001323204 scopus 로고    scopus 로고
    • The geometry and statistics of mixing in aperiodic flows
    • Poje A.C., Haller G. The geometry and statistics of mixing in aperiodic flows. Phys. Fluids. 11(10):1999;2963-2968.
    • (1999) Phys. Fluids , vol.11 , Issue.10 , pp. 2963-2968
    • Poje, A.C.1    Haller, G.2
  • 26
    • 22244477095 scopus 로고    scopus 로고
    • Quantifying transport in numerically generated velocity fields
    • Miller P.D., Jones C.K.R.T., Rogerson A.M., Pratt L.J. Quantifying transport in numerically generated velocity fields. Physica D. 110:1997;105-122.
    • (1997) Physica D , vol.110 , pp. 105-122
    • Miller, P.D.1    Jones, C.K.R.T.2    Rogerson, A.M.3    Pratt, L.J.4
  • 27
    • 0001956648 scopus 로고    scopus 로고
    • Viscous perturbations of vorticity conserving flows and separatix splitting
    • Balasuriya S., Jones C.K.R.T., Sandstede B. Viscous perturbations of vorticity conserving flows and separatix splitting. Nonlinearity. 11(1):1998;44-77.
    • (1998) Nonlinearity , vol.11 , Issue.1 , pp. 44-77
    • Balasuriya, S.1    Jones, C.K.R.T.2    Sandstede, B.3
  • 28
    • 0016878106 scopus 로고
    • Longitudinal dispersion of a buoyant contaminant in a shallow channel
    • Smith R. Longitudinal dispersion of a buoyant contaminant in a shallow channel. J. Fluid Mech. 78(4):1976;677-688.
    • (1976) J. Fluid Mech. , vol.78 , Issue.4 , pp. 677-688
    • Smith, R.1
  • 29
    • 0018935718 scopus 로고
    • Buoyancy effects upon longitudinal dispersion in wide well-mixed estuaries
    • Smith R. Buoyancy effects upon longitudinal dispersion in wide well-mixed estuaries. Philos. Trans. R. Soc. London. 296(1421):1980;467-496.
    • (1980) Philos. Trans. R. Soc. London , vol.296 , Issue.1421 , pp. 467-496
    • Smith, R.1
  • 30
    • 0028668597 scopus 로고
    • A numerical study of the interaction of tidal oscillations and nonlinearities in an estuary
    • Scott C. A numerical study of the interaction of tidal oscillations and nonlinearities in an estuary. Est. Coast. Shelf Sci. 39:1994;477-496.
    • (1994) Est. Coast. Shelf Sci. , vol.39 , pp. 477-496
    • Scott, C.1
  • 31
    • 0022924954 scopus 로고
    • The determination and prediction of longitudinal dispersion coefficients in a narrow, shallow estuary
    • West J.R., Mangat J.S. The determination and prediction of longitudinal dispersion coefficients in a narrow, shallow estuary. Est. Coast. Shelf Sci. 22:1986;161-181.
    • (1986) Est. Coast. Shelf Sci. , vol.22 , pp. 161-181
    • West, J.R.1    Mangat, J.S.2
  • 32
    • 0041946068 scopus 로고
    • Field studies of the flow structure in a straight reach of the Conwy estuary
    • Guymer I., West J.R. Field studies of the flow structure in a straight reach of the Conwy estuary. Est. Coast. Shelf Sci. 32:1991;581-596.
    • (1991) Est. Coast. Shelf Sci. , vol.32 , pp. 581-596
    • Guymer, I.1    West, J.R.2
  • 33
    • 0022214495 scopus 로고
    • Axial convergence in a well-mixed estuary
    • Nunes R.A., Simpson J.H. Axial convergence in a well-mixed estuary. Est. Coast. Shelf Sci. 20:1985;637-649.
    • (1985) Est. Coast. Shelf Sci. , vol.20 , pp. 637-649
    • Nunes, R.A.1    Simpson, J.H.2
  • 35
    • 21344480476 scopus 로고
    • The Bogdanov map: Bifurcations, mode locking and chaos in a dissipative system
    • Arrowsmith D., Cartwright J., Lansbury A., Place C. The Bogdanov map: bifurcations, mode locking and chaos in a dissipative system. Int. J. Bifurc. Chaos. 3:1993;803-842.
    • (1993) Int. J. Bifurc. Chaos , vol.3 , pp. 803-842
    • Arrowsmith, D.1    Cartwright, J.2    Lansbury, A.3    Place, C.4
  • 37
    • 0000009552 scopus 로고
    • Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer assisted study
    • Aronson D.G., Chory M.A., Hall G.R., McGehee R.P. Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer assisted study. Commun. Math. Phys. 83:1982;303-354.
    • (1982) Commun. Math. Phys. , vol.83 , pp. 303-354
    • Aronson, D.G.1    Chory, M.A.2    Hall, G.R.3    McGehee, R.P.4
  • 38
    • 0000629176 scopus 로고
    • A complete qualitative investigation of Duffing's equation
    • Morozov A.D. A complete qualitative investigation of Duffing's equation. Differential Equations. 12:1976;164-174.
    • (1976) Differential Equations , vol.12 , pp. 164-174
    • Morozov, A.D.1
  • 40
    • 0040449551 scopus 로고
    • Bifurcation sequence at 1:4 resonance: An inventory
    • Krauskopf B. Bifurcation sequence at 1:4 resonance: an inventory. Nonlinearity. 7(3):1994;1073-1091.
    • (1994) Nonlinearity , vol.7 , Issue.3 , pp. 1073-1091
    • Krauskopf, B.1
  • 41
    • 0010310306 scopus 로고
    • The bifurcation set for the 1:4 resonance problem
    • Krauskopf B. The bifurcation set for the 1:4 resonance problem. Exp. Math. 3(2):1994;107-128.
    • (1994) Exp. Math. , vol.3 , Issue.2 , pp. 107-128
    • Krauskopf, B.1
  • 43
    • 0002945544 scopus 로고
    • Loss of stability of self-induced oscillations near resonance, and versal deformations of equivariant vector fields
    • 95
    • V.I. Arnol'd, Loss of stability of self-induced oscillations near resonance, and versal deformations of equivariant vector fields, Funct. Anal. i Priložen 11 (2) (1977) 1-10, 95 [English translation: Funct. Anal. Appl. 11 (2) (1977) 85-92].
    • (1977) Funct. Anal. I Priložen , vol.11 , Issue.2 , pp. 1-10
    • Arnol'D, V.I.1
  • 44
    • 0343415899 scopus 로고
    • English translation:
    • V.I. Arnol'd, Loss of stability of self-induced oscillations near resonance, and versal deformations of equivariant vector fields, Funct. Anal. i Priložen 11 (2) (1977) 1-10, 95 [English translation: Funct. Anal. Appl. 11 (2) (1977) 85-92].
    • (1977) Funct. Anal. Appl. , vol.11 , Issue.2 , pp. 85-92
  • 45
    • 34548111533 scopus 로고
    • Dynamics - The Geometry of Behaviour
    • Aerial Press Inc., Santa Cruz, CA
    • R.A. Abraham, C.D. Shaw, Dynamics - the Geometry of Behaviour, Part 4: Bifurcation Behaviour, Aerial Press Inc., Santa Cruz, CA, 1988.
    • (1988) Part 4: Bifurcation Behaviour
    • Abraham, R.A.1    Shaw, C.D.2
  • 46
    • 0000847123 scopus 로고
    • Upwelling along the Yarmouth Shore of Nova Scotia
    • Garrett C.J.R., Loucks R.H. Upwelling along the Yarmouth Shore of Nova Scotia. J. Fish. Res. Bd. Can. 33:1976;116-117.
    • (1976) J. Fish. Res. Bd. Can. , vol.33 , pp. 116-117
    • Garrett, C.J.R.1    Loucks, R.H.2
  • 47
    • 0017905386 scopus 로고
    • The formation of the shambles and other banks by tidal stirring of the seas
    • Pingree R.D. The formation of the shambles and other banks by tidal stirring of the seas. J. Mar. Biol. Assoc. UK. 58:1978;211-226.
    • (1978) J. Mar. Biol. Assoc. UK , vol.58 , pp. 211-226
    • Pingree, R.D.1
  • 48
    • 0000702686 scopus 로고
    • Island wakes in shallow coastal waters
    • Wolanski E.J.L., Heron M. Island wakes in shallow coastal waters. J. Geophys. Res. 89:1984;10553-10569.
    • (1984) J. Geophys. Res. , vol.89 , pp. 10553-10569
    • Wolanski, E.J.L.1    Heron, M.2
  • 49
    • 0001503490 scopus 로고
    • Effects of initial conditions and Ekman suction on tidal outflows from inlets
    • van Serden D.C., Imberger J. Effects of initial conditions and Ekman suction on tidal outflows from inlets. J. Geophys. Res. 95:1990;13373-13392.
    • (1990) J. Geophys. Res. , vol.95 , pp. 13373-13392
    • Van Serden, D.C.1    Imberger, J.2
  • 50
    • 0001155295 scopus 로고
    • Transient eddy formation around headlands
    • Signell T.P., Geyer W.R. Transient eddy formation around headlands. J. Geophys. Res. 91(C2):1991;2651-2675.
    • (1991) J. Geophys. Res. , vol.91 , Issue.C2 , pp. 2651-2675
    • Signell, T.P.1    Geyer, W.R.2
  • 51
    • 0027498538 scopus 로고
    • Three-dimensional tidal flow around headlands
    • Geyer W.R. Three-dimensional tidal flow around headlands. J. Geophys. Res. Oceans. 98(C1):1993;955-966.
    • (1993) J. Geophys. Res. Oceans , vol.98 , Issue.C1 , pp. 955-966
    • Geyer, W.R.1
  • 52
    • 0026791180 scopus 로고
    • A reassessment of the role of tidal dispersion in estuaries and bays
    • Geyer W.R., Signell R.P. A reassessment of the role of tidal dispersion in estuaries and bays. Estuaries. 15(2):1992;97-108.
    • (1992) Estuaries , vol.15 , Issue.2 , pp. 97-108
    • Geyer, W.R.1    Signell, R.P.2
  • 53
    • 0042446775 scopus 로고
    • The distribution of temperature and salinity in the Wadden Sea
    • Postma H. The distribution of temperature and salinity in the Wadden Sea. Tijdschr. K. Ned. Aardrijksk. Genoot. 67:1950;34-42.
    • (1950) Tijdschr. K. Ned. Aardrijksk. Genoot. , vol.67 , pp. 34-42
    • Postma, H.1
  • 54
    • 0002835133 scopus 로고
    • On the distribution of salinity and of some other properties in the water of the Ems estuary
    • Dorrestein R. On the distribution of salinity and of some other properties in the water of the Ems estuary. Verh. K. Ned. Geol.-Mijnd. Genoot. 19:1960;43-74.
    • (1960) Verh. K. Ned. Geol.-Mijnd. Genoot. , vol.19 , pp. 43-74
    • Dorrestein, R.1
  • 55


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