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Volumn 54, Issue 1, 1998, Pages 62-77

Chaos and peak-to-peak dynamics in a plankton-fish model

Author keywords

Chaos; Peak to peak dynamics; Plankton dynamics; Plankton fish model

Indexed keywords

CHAOS THEORY; FOOD WEB; ICHTHYOFAUNA; INTERSPECIFIC INTERACTION; PLANKTON; POPULATION MODELING;

EID: 0032145269     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1998.1368     Document Type: Article
Times cited : (26)

References (71)
  • 1
    • 35949012282 scopus 로고
    • Prediction in chaotic nonlinear systems: Methods for time series with broadband Fourier spectra
    • Abarbanel H. D. I., Brown R., Kadtke J. B. Prediction in chaotic nonlinear systems: methods for time series with broadband Fourier spectra. Phys. Rev. A. 41:1990;1782-1807.
    • (1990) Phys. Rev. a , vol.41 , pp. 1782-1807
    • Abarbanel, H.D.I.1    Brown, R.2    Kadtke, J.B.3
  • 2
    • 36549095130 scopus 로고
    • Mixed-mode oscillations in an electrochemical system. I. A Farey sequence which does not occur on a torus
    • Albahadily F. N., Ringland J., Schell M. Mixed-mode oscillations in an electrochemical system. I. A Farey sequence which does not occur on a torus. J. Chem. Phys. 90:1989;813-821.
    • (1989) J. Chem. Phys. , vol.90 , pp. 813-821
    • Albahadily, F.N.1    Ringland, J.2    Schell, M.3
  • 3
    • 0042075109 scopus 로고
    • Retriving dynamical invariants from chaotic data using NARMAX models
    • Aguirre L. A., Billings S. Retriving dynamical invariants from chaotic data using NARMAX models. Int. J. Bif. Chaos. 5:1995;449-474.
    • (1995) Int. J. Bif. Chaos , vol.5 , pp. 449-474
    • Aguirre, L.A.1    Billings, S.2
  • 4
    • 0012485298 scopus 로고
    • Experimental evidence for homoclinic chaos in an electrochemical growth process
    • Argoul F., Huth J., Merzeau P., Arneodo A., Swinney H. L. Experimental evidence for homoclinic chaos in an electrochemical growth process. Physica D. 62:1993;170-185.
    • (1993) Physica D , vol.62 , pp. 170-185
    • Argoul, F.1    Huth, J.2    Merzeau, P.3    Arneodo, A.4    Swinney, H.L.5
  • 7
    • 33845277867 scopus 로고
    • Shil'nikov chaos during copper electrodissolution
    • Bassett M. R., Hudson J. L. Shil'nikov chaos during copper electrodissolution. J. Phys. Chem. 92:1988;6963-6966.
    • (1988) J. Phys. Chem. , vol.92 , pp. 6963-6966
    • Bassett, M.R.1    Hudson, J.L.2
  • 8
    • 0024528411 scopus 로고
    • Are ecological systems chaotic - And if not, why not?
    • Berryman A. A., Millstein J. A. Are ecological systems chaotic - and if not, why not? Trends Ecol. Evol. 4:1989;26-28.
    • (1989) Trends Ecol. Evol. , vol.4 , pp. 26-28
    • Berryman, A.A.1    Millstein, J.A.2
  • 9
    • 0000202504 scopus 로고
    • Chaos and deterministic versus stocastic non-linear modelling
    • Casdagli M. Chaos and deterministic versus stocastic non-linear modelling. J. R. Stat. Soc. B. 54:1991;303-328.
    • (1991) J. R. Stat. Soc. B , vol.54 , pp. 303-328
    • Casdagli, M.1
  • 10
    • 0025830667 scopus 로고
    • Can the analytic techniques of non linear dynamics distinguish periodic, random and chaotic signals?
    • Denton T. A., Diamond G. A. Can the analytic techniques of non linear dynamics distinguish periodic, random and chaotic signals? Comput. Biol. Med. 21:1991;243-264.
    • (1991) Comput. Biol. Med. , vol.21 , pp. 243-264
    • Denton, T.A.1    Diamond, G.A.2
  • 13
    • 0001414087 scopus 로고
    • Convergence rates and data requirements for Jacobian-based estimates of Lyapunov exponents from data
    • Ellner S., Gallant A. R., McCaffrey D., Nychka D. Convergence rates and data requirements for Jacobian-based estimates of Lyapunov exponents from data. Phys. Lett. 153:1991;357-363.
    • (1991) Phys. Lett. , vol.153 , pp. 357-363
    • Ellner, S.1    Gallant, A.R.2    McCaffrey, D.3    Nychka, D.4
  • 14
    • 0028973866 scopus 로고
    • Chaos in a noisy word: New methods and evidence from time-series analysis
    • Ellner S., Turchin P. Chaos in a noisy word: New methods and evidence from time-series analysis. Am. Natur. 145:1995;343-375.
    • (1995) Am. Natur. , vol.145 , pp. 343-375
    • Ellner, S.1    Turchin, P.2
  • 16
    • 2742611797 scopus 로고
    • A case study for homoclinic chaos in an autonomous electronic circuit
    • Freire E., Rodriguez-Luis A. J., Gamero E., Ponce E. A case study for homoclinic chaos in an autonomous electronic circuit. Physica D. 62:1993;230-253.
    • (1993) Physica D , vol.62 , pp. 230-253
    • Freire, E.1    Rodriguez-Luis, A.J.2    Gamero, E.3    Ponce, E.4
  • 17
    • 0027706230 scopus 로고
    • Invasion and chaos in a periodically pulsed mass-action chemostat
    • Funasaki E., Kot M. Invasion and chaos in a periodically pulsed mass-action chemostat. Theor. Popul. Biol. 44:1993;203-224.
    • (1993) Theor. Popul. Biol. , vol.44 , pp. 203-224
    • Funasaki, E.1    Kot, M.2
  • 18
    • 0000523039 scopus 로고
    • Perturbation of a Hopf bifurcation by an external time-periodic forcing
    • Gambaudo J. M. Perturbation of a Hopf bifurcation by an external time-periodic forcing. J. Differential Eqs. 57:1985;172-199.
    • (1985) J. Differential Eqs. , vol.57 , pp. 172-199
    • Gambaudo, J.M.1
  • 19
    • 0001299511 scopus 로고
    • Spiral chaos in a predator-prey model
    • Gilpin M. E. Spiral chaos in a predator-prey model. Amer. Natur. 113:1979;306-308.
    • (1979) Amer. Natur. , vol.113 , pp. 306-308
    • Gilpin, M.E.1
  • 20
    • 0028854032 scopus 로고
    • A universal bifurcation diagram for seasonally perturbed predator-prey models
    • Gragnani A., Rinaldi S. A universal bifurcation diagram for seasonally perturbed predator-prey models. Bull. Math. Biol. 57:1995;701-712.
    • (1995) Bull. Math. Biol. , vol.57 , pp. 701-712
    • Gragnani, A.1    Rinaldi, S.2
  • 22
    • 0019815049 scopus 로고
    • Phase-locking, period-doubling bifurcations and irregular dynamics in periodically stimulated cardiac cells
    • Guevara M. R., Glass L., Shrier A. Phase-locking, period-doubling bifurcations and irregular dynamics in periodically stimulated cardiac cells. Science. 214:1981;1350-1353.
    • (1981) Science , vol.214 , pp. 1350-1353
    • Guevara, M.R.1    Glass, L.2    Shrier, A.3
  • 24
    • 0025956240 scopus 로고
    • Chaos in a three species food chain
    • Hastings A., Powell T. Chaos in a three species food chain. Ecology. 72:1991;896-903.
    • (1991) Ecology , vol.72 , pp. 896-903
    • Hastings, A.1    Powell, T.2
  • 26
    • 0018146144 scopus 로고
    • Interactive instruction on population interaction
    • Hogeweg P., Hesper B. Interactive instruction on population interaction. Comp. Biol. Med. 8:1978;319-327.
    • (1978) Comp. Biol. Med. , vol.8 , pp. 319-327
    • Hogeweg, P.1    Hesper, B.2
  • 27
    • 0029539456 scopus 로고
    • Plankton-generated chaos in the modelled dynamics of haddock
    • Horwood J. Plankton-generated chaos in the modelled dynamics of haddock. Phil. Trans. R. Soc. Lond. B. 350:1995;109-118.
    • (1995) Phil. Trans. R. Soc. Lond. B , vol.350 , pp. 109-118
    • Horwood, J.1
  • 29
    • 0000721956 scopus 로고
    • Scenarios leading to chaos in forced Lotka-Volterra model
    • Inoue M., Kamifukumoto H. Scenarios leading to chaos in forced Lotka-Volterra model. Progr. Theor. Phys. 71:1984;930-937.
    • (1984) Progr. Theor. Phys. , vol.71 , pp. 930-937
    • Inoue, M.1    Kamifukumoto, H.2
  • 30
    • 0001282028 scopus 로고
    • Method to distinguish possible chaos from colored noise and to determine embedding parameters
    • Kennel M. B., Isabelle S. Method to distinguish possible chaos from colored noise and to determine embedding parameters. Phys. Rev. A. 46:1992;3111-3118.
    • (1992) Phys. Rev. a , vol.46 , pp. 3111-3118
    • Kennel, M.B.1    Isabelle, S.2
  • 31
    • 84951601313 scopus 로고
    • Chaos in three-species food chains
    • Klebanoff A., Hastings A. Chaos in three-species food chains. J. Math. Biol. 32:1994;427-451.
    • (1994) J. Math. Biol. , vol.32 , pp. 427-451
    • Klebanoff, A.1    Hastings, A.2
  • 32
    • 0000201530 scopus 로고
    • Complex dynamics in a model microbial system
    • Kot M., Sayler G. S., Schultz T. W. Complex dynamics in a model microbial system. Bull. Math. Biol. 54:1992;619-648.
    • (1992) Bull. Math. Biol. , vol.54 , pp. 619-648
    • Kot, M.1    Sayler, G.S.2    Schultz, T.W.3
  • 34
    • 0000543942 scopus 로고
    • Experimental demonstration of subtleties in subharmonic intermittency
    • Kreisberg N., McCormick W. D., Swinney H. L. Experimental demonstration of subtleties in subharmonic intermittency. Physica D. 50:1991;463-477.
    • (1991) Physica D , vol.50 , pp. 463-477
    • Kreisberg, N.1    McCormick, W.D.2    Swinney, H.L.3
  • 35
    • 0001439405 scopus 로고
    • Bifurcations and chaos in a periodic predator-prey model
    • Kuznetsov Y. A., Muratori S., Rinaldi S. Bifurcations and chaos in a periodic predator-prey model. Int. J. Bif. Chaos. 2:1992;117-128.
    • (1992) Int. J. Bif. Chaos , vol.2 , pp. 117-128
    • Kuznetsov, Y.A.1    Muratori, S.2    Rinaldi, S.3
  • 36
    • 0029663443 scopus 로고    scopus 로고
    • Remarks on food chain dynamics
    • Kuznetsov Y. A., Rinaldi S. Remarks on food chain dynamics. Math. Biosci. 134:1996;1-33.
    • (1996) Math. Biosci. , vol.134 , pp. 1-33
    • Kuznetsov, Y.A.1    Rinaldi, S.2
  • 37
    • 0028035790 scopus 로고
    • Biological conditions for chaos in a three-species food chain
    • McCann K., Yodzis P. Biological conditions for chaos in a three-species food chain. Ecology. 75:1994;561-564.
    • (1994) Ecology , vol.75 , pp. 561-564
    • McCann, K.1    Yodzis, P.2
  • 38
    • 0029479690 scopus 로고
    • Bifurcation structure of three-species food chain model
    • McCann K., Yodzis P. Bifurcation structure of three-species food chain model. Theor. Pop. Biol. 48:1995;93-125.
    • (1995) Theor. Pop. Biol. , vol.48 , pp. 93-125
    • McCann, K.1    Yodzis, P.2
  • 39
    • 21344483561 scopus 로고
    • Chaos versus noise in experimental data
    • Mitschke F., Dämming M. Chaos versus noise in experimental data. Int. J. Bif. Chaos. 3:1993;693-702.
    • (1993) Int. J. Bif. Chaos. , vol.3 , pp. 693-702
    • Mitschke, F.1    Dämming, M.2
  • 41
    • 0025625602 scopus 로고
    • Problems in detecting chaotic behavior in natural population by fitting simple discrete models
    • Morris W. M. Problems in detecting chaotic behavior in natural population by fitting simple discrete models. Ecology. 71:1990;1849-1862.
    • (1990) Ecology , vol.71 , pp. 1849-1862
    • Morris, W.M.1
  • 43
    • 0024029039 scopus 로고
    • Oscillatios and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, Denmark
    • Olsen L. F., Truty G. L., Schaffer W. M. Oscillatios and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, Denmark. Theor. Popul. Biol. 33:1988;344-370.
    • (1988) Theor. Popul. Biol. , vol.33 , pp. 344-370
    • Olsen, L.F.1    Truty, G.L.2    Schaffer, W.M.3
  • 46
    • 0028981005 scopus 로고
    • Intermittency in the plankton: A multifractal analysis of zooplankton biomass variability
    • Pascual M., Ascioti F. A., Caswell H. Intermittency in the plankton: A multifractal analysis of zooplankton biomass variability. J. Plankton Res. 17:1995;1209-1232.
    • (1995) J. Plankton Res. , vol.17 , pp. 1209-1232
    • Pascual, M.1    Ascioti, F.A.2    Caswell, H.3
  • 47
    • 0026570272 scopus 로고
    • Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies
    • Pavlou S., Kevrekidis I. G. Microbial predation in a periodically operated chemostat: a global study of the interaction between natural and externally imposed frequencies. Math. Biosci. 108:1992;1-55.
    • (1992) Math. Biosci. , vol.108 , pp. 1-55
    • Pavlou, S.1    Kevrekidis, I.G.2
  • 48
    • 0042473526 scopus 로고
    • Ecologists flirt with chaos
    • Pool R. Ecologists flirt with chaos. Science. 243:1989;310-313.
    • (1989) Science , vol.243 , pp. 310-313
    • Pool, R.1
  • 49
    • 0027833007 scopus 로고
    • Period-doubling bifurcation leading to chaos in a model food chain
    • Rai V., Sreenivasan R. Period-doubling bifurcation leading to chaos in a model food chain. Ecol. Modelling. 69:1993;63-77.
    • (1993) Ecol. Modelling , vol.69 , pp. 63-77
    • Rai, V.1    Sreenivasan, R.2
  • 50
    • 0027880626 scopus 로고
    • Conditioned chaos in seasonally perturbed predator-prey models
    • Rinaldi S., Muratori S. Conditioned chaos in seasonally perturbed predator-prey models. Ecol. Modelling. 69:1993;79-97.
    • (1993) Ecol. Modelling , vol.69 , pp. 79-97
    • Rinaldi, S.1    Muratori, S.2
  • 51
    • 2942676278 scopus 로고
    • Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities
    • Rinaldi S., Muratori S., Kuznetsov Y. A. Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Bull. Math. Biol. 55:1993;15-35.
    • (1993) Bull. Math. Biol. , vol.55 , pp. 15-35
    • Rinaldi, S.1    Muratori, S.2    Kuznetsov, Y.A.3
  • 52
    • 0012207529 scopus 로고
    • Experimental studies of bifurcations leading to chaos in the Belusof-Zhabotinsky reaction
    • Roux J. C. Experimental studies of bifurcations leading to chaos in the Belusof-Zhabotinsky reaction. Physica D. 7:1983;57-68.
    • (1983) Physica D , vol.7 , pp. 57-68
    • Roux, J.C.1
  • 53
    • 0001235864 scopus 로고
    • Observation of a strange attractor
    • Roux J. C., Simoy R. H., Swinney H. L. Observation of a strange attractor. Physica D. 8:1983;257-266.
    • (1983) Physica D , vol.8 , pp. 257-266
    • Roux, J.C.1    Simoy, R.H.2    Swinney, H.L.3
  • 54
    • 0023648365 scopus 로고
    • Diagnosis of dynamical systems with fluctuating parameters
    • Ruelle D. Diagnosis of dynamical systems with fluctuating parameters. Proc. R. Soc. Lond. A. 413:1987;5-8.
    • (1987) Proc. R. Soc. Lond. a , vol.413 , pp. 5-8
    • Ruelle, D.1
  • 55
    • 0027338779 scopus 로고
    • Chaos in a periodically forced predator-prey ecosystem model
    • Sabin G. C. W., Summers D. Chaos in a periodically forced predator-prey ecosystem model. Math. Biosci. 113:1993;91-113.
    • (1993) Math. Biosci. , vol.113 , pp. 91-113
    • Sabin, G.C.W.1    Summers, D.2
  • 56
    • 0002117043 scopus 로고
    • Perceiving order in the chaos of nature
    • M.S. Boyce. New Haven: Yale Univ. Press
    • Schaffer W. M. Perceiving order in the chaos of nature. Boyce M. S. Evolution of Life Histories of Mammals. 1988;313-350 Yale Univ. Press, New Haven.
    • (1988) Evolution of Life Histories of Mammals , pp. 313-350
    • Schaffer, W.M.1
  • 57
    • 0021912738 scopus 로고
    • Nearly one-dimensional dynamics in an epidemic
    • Schaffer W. M., Kot M. Nearly one-dimensional dynamics in an epidemic. J. Theor. Biol. 112:1985;403-427.
    • (1985) J. Theor. Biol. , vol.112 , pp. 403-427
    • Schaffer, W.M.1    Kot, M.2
  • 58
    • 0022849287 scopus 로고
    • Chaos in ecological systems: The goals that Newcastle forgot
    • Schaffer W. M., Kot M. Chaos in ecological systems: The goals that Newcastle forgot. Trends Ecol. Evol. 1:1986;58-63.
    • (1986) Trends Ecol. Evol. , vol.1 , pp. 58-63
    • Schaffer, W.M.1    Kot, M.2
  • 59
    • 0026314277 scopus 로고
    • Should we expect strange attractors behind plankton dynamics and if so, should we bother?
    • Scheffer M. Should we expect strange attractors behind plankton dynamics and if so, should we bother? J. Plankton Res. 13:1991;1291-1305.
    • (1991) J. Plankton Res. , vol.13 , pp. 1291-1305
    • Scheffer, M.1
  • 60
    • 36549093001 scopus 로고
    • Mixed-mode oscillations in an electrochemical system. II. A periodic-chaotic sequence
    • Schell M., Albahadily F. N. Mixed-mode oscillations in an electrochemical system. II. A periodic-chaotic sequence. J. Chem. Phys. 90:1989;822-828.
    • (1989) J. Chem. Phys. , vol.90 , pp. 822-828
    • Schell, M.1    Albahadily, F.N.2
  • 61
    • 0028101296 scopus 로고
    • Complexity diagnostics in cardiology: Fundamental considerations
    • Schmidt G., Morfill G. Complexity diagnostics in cardiology: Fundamental considerations. PACE. 17:1994;1174-1177.
    • (1994) PACE , vol.17 , pp. 1174-1177
    • Schmidt, G.1    Morfill, G.2
  • 62
    • 25944444539 scopus 로고
    • One dimensional dynamics in a multicomponent chemical reaction
    • Simoy R. H., Wolf A., Swiney H. L. One dimensional dynamics in a multicomponent chemical reaction. Phys. Rev. Lett. 49:1982;245-248.
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 245-248
    • Simoy, R.H.1    Wolf, A.2    Swiney, H.L.3
  • 63
    • 0017256150 scopus 로고
    • On the differential equations of species in competition
    • Smale S. On the differential equations of species in competition. J. Math. Biol. 3:1976;5-7.
    • (1976) J. Math. Biol. , vol.3 , pp. 5-7
    • Smale, S.1
  • 64
    • 0029663234 scopus 로고    scopus 로고
    • Non-linear analysis of clorophyll a transects as a method of quantifying spatial structure
    • Strutton P. G., Mitchell J. G., Parslow J. S. Non-linear analysis of clorophyll a transects as a method of quantifying spatial structure. J. Plankton Res. 18:1996;1717-1726.
    • (1996) J. Plankton Res. , vol.18 , pp. 1717-1726
    • Strutton, P.G.1    Mitchell, J.G.2    Parslow, J.S.3
  • 65
    • 0025199496 scopus 로고
    • Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series
    • Sugihara G., May R. M. Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature. 344:1990;734-741.
    • (1990) Nature , vol.344 , pp. 734-741
    • Sugihara, G.1    May, R.M.2
  • 66
    • 0001342110 scopus 로고
    • Existence and bifurcation of stable equilibrium in two prey one predator communities
    • Takeuchi Y., Adachi N. Existence and bifurcation of stable equilibrium in two prey one predator communities. Bull. Math. Biol. 45:1983;877-900.
    • (1983) Bull. Math. Biol. , vol.45 , pp. 877-900
    • Takeuchi, Y.1    Adachi, N.2
  • 67
    • 84982062893 scopus 로고
    • Qualitative analysis of system dynamics ecological models
    • Toro M., Aracil J. Qualitative analysis of system dynamics ecological models. Syst. Dyn. Rev. 4:1988;56-80.
    • (1988) Syst. Dyn. Rev. , vol.4 , pp. 56-80
    • Toro, M.1    Aracil, J.2
  • 68
    • 0001733213 scopus 로고
    • Predation and resource partitioning in one predator-two prey model communities
    • Vance R. R. Predation and resource partitioning in one predator-two prey model communities. Amer. Natur. 112:1978;797-813.
    • (1978) Amer. Natur. , vol.112 , pp. 797-813
    • Vance, R.R.1
  • 69
    • 0027384084 scopus 로고
    • Loose coupling of predator-prey cycles: Entrainment, chaos, and intermittency in the classic MacArthur consumer-resource equations
    • Vandermeer J. Loose coupling of predator-prey cycles: entrainment, chaos, and intermittency in the classic MacArthur consumer-resource equations. Amer. Natur. 141:1993;687-716.
    • (1993) Amer. Natur. , vol.141 , pp. 687-716
    • Vandermeer, J.1
  • 70
    • 0028163458 scopus 로고
    • A three variable differential equation model for gipsy moth population dynamics
    • Wilder J. W., Voorhis N., Colbert J. J., Sharov A. A three variable differential equation model for gipsy moth population dynamics. Ecol. Modelling. 72:1994;229-250.
    • (1994) Ecol. Modelling , vol.72 , pp. 229-250
    • Wilder, J.W.1    Voorhis, N.2    Colbert, J.J.3    Sharov, A.4
  • 71
    • 0040426827 scopus 로고
    • Diagnosing chaos in the space circle
    • Wolf A., Bessoir T. Diagnosing chaos in the space circle. Physica D. 50:1991;239-258.
    • (1991) Physica D , vol.50 , pp. 239-258
    • Wolf, A.1    Bessoir, T.2


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