메뉴 건너뛰기




Volumn 17, Issue 5, 2004, Pages 1689-1711

Chaotic dynamics of a nonlinear density dependent population model

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4644242294     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/17/5/007     Document Type: Article
Times cited : (31)

References (37)
  • 1
    • 0000009552 scopus 로고
    • Bifurcations from an invariant circle for two-parameters families of maps of the plane: A computer assisted study
    • Aronson D G, Chory M A, Hall G R and McGehee R P 1982 Bifurcations from an invariant circle for two-parameters families of maps of the plane: a computer assisted study Commun. Math. Phys. 83 303-54
    • (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
  • 3
    • 0001870459 scopus 로고
    • The dynamics of the Hénon map
    • Benedicks M and Carleson L 1991 The dynamics of the Hénon map Ann. Math. 133 73-169
    • (1991) Ann. Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 9
    • 0037445370 scopus 로고    scopus 로고
    • A route to computational chaos revisited: Noninvertibility and the breakup of an invariant circle
    • Frouzakis C E, Kevrekidis I G and Peckham B B 2003 A route to computational chaos revisited: noninvertibility and the breakup of an invariant circle Physica D 177 101-21
    • (2003) Physica D , vol.177 , pp. 101-121
    • Frouzakis, C.E.1    Kevrekidis, I.G.2    Peckham, B.B.3
  • 10
    • 0012349493 scopus 로고
    • Crisis, sudden changes in chaotic attractors and transient chaos
    • Grebogi C, Ott E and Yorke J 1983 Crisis, sudden changes in chaotic attractors and transient chaos Physica D 181-200
    • (1983) Physica D , pp. 181-200
    • Grebogi, C.1    Ott, E.2    Yorke, J.3
  • 13
    • 0002591468 scopus 로고
    • A two-dimensional mapping with a strange attractor
    • Hénon M 1976 A two-dimensional mapping with a strange attractor Commun. Math. Phys. 50 69-77
    • (1976) Commun. Math. Phys. , vol.50 , pp. 69-77
    • Hénon, M.1
  • 14
    • 0001231525 scopus 로고
    • Antimonotonicity: Concurrent creation and annihilation of periodic orbits
    • Kan I, Kocak H and Yorke J 1992 Antimonotonicity: concurrent creation and annihilation of periodic orbits Ann. Math. 136 219-52
    • (1992) Ann. Math. , vol.136 , pp. 219-252
    • Kan, I.1    Kocak, H.2    Yorke, J.3
  • 16
    • 77956980711 scopus 로고
    • On the use of matrices in population mathematics
    • Leslie P 1945 On the use of matrices in population mathematics Biometrika 33 183-212
    • (1945) Biometrika , vol.33 , pp. 183-212
    • Leslie, P.1
  • 17
    • 0000441117 scopus 로고
    • Some further notes on the use of matrices in population mathematics
    • Leslie P 1948 Some further notes on the use of matrices in population mathematics Biometrika 35 213-45
    • (1948) Biometrika , vol.35 , pp. 213-245
    • Leslie, P.1
  • 18
    • 0018954975 scopus 로고
    • Analysis of an age-structured fishery model
    • Levin S A and Goodyear C P 1980 Analysis of an age-structured fishery model J. Math. Biol. 9 245-74
    • (1980) J. Math. Biol. , vol.9 , pp. 245-274
    • Levin, S.A.1    Goodyear, C.P.2
  • 19
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • May R 1976 Simple mathematical models with very complicated dynamics Nature 261 459-67
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.1
  • 21
    • 0040251440 scopus 로고
    • Existence of a homoclinic point for the Hénon map
    • Misiurewicz M and Szewc B 1980 Existence of a homoclinic point for the Hénon map Commun. Math. Phys. 75 285-91
    • (1980) Commun. Math. Phys. , vol.75 , pp. 285-291
    • Misiurewicz, M.1    Szewc, B.2
  • 22
    • 32044475236 scopus 로고
    • Diffeomorphisms with infinitely many sinks
    • Newhouse S 1974 Diffeomorphisms with infinitely many sinks Topology 13 9-18
    • (1974) Topology , vol.13 , pp. 9-18
    • Newhouse, S.1
  • 23
    • 0000154315 scopus 로고
    • Bifurcation to infinitely many sinks
    • Robinson C 1983 Bifurcation to infinitely many sinks Commun. Math. Phys. 90 433-59
    • (1983) Commun. Math. Phys. , vol.90 , pp. 433-459
    • Robinson, C.1
  • 24
  • 28
    • 0346737912 scopus 로고    scopus 로고
    • Equilibrium, stability and chaotic behavior in Leslie matrix models with different density-dependent birth and survival rates
    • Pykh Y and Efremova S 2000 Equilibrium, stability and chaotic behavior in Leslie matrix models with different density-dependent birth and survival rates Math. Comput. Simul. 52 87-112
    • (2000) Math. Comput. Simul. , vol.52 , pp. 87-112
    • Pykh, Y.1    Efremova, S.2
  • 29
    • 0000154315 scopus 로고
    • Bifurcation to infinitely many sinks
    • Robinson C 1983 Bifurcation to infinitely many sinks Commun. Math. Phys. 90 433-59
    • (1983) Commun. Math. Phys. , vol.90 , pp. 433-459
    • Robinson, C.1
  • 30
    • 4644347684 scopus 로고    scopus 로고
    • Numerical calculations of Lyapunov exponents
    • Sandri M 1996 Numerical calculations of Lyapunov exponents Mathematica J. 78-84
    • (1996) Mathematica J. , pp. 78-84
    • Sandri, M.1
  • 31
    • 0026616718 scopus 로고
    • Compensation and stability in nonlinear matrix models
    • Silva J A and Hallam T G 1992 Compensation and stability in nonlinear matrix models Math. Biosci. 110 67-101
    • (1992) Math. Biosci. , vol.110 , pp. 67-101
    • Silva, J.A.1    Hallam, T.G.2
  • 32
    • 0000415620 scopus 로고
    • Effects of delay, truncation and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models
    • Silva J A and Hallam T G 1993 Effects of delay, truncation and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models J. Math. Biol. 31 367-95
    • (1993) J. Math. Biol. , vol.31 , pp. 367-395
    • Silva, J.A.1    Hallam, T.G.2
  • 33
    • 0000657743 scopus 로고
    • On the Hénon-Pomeau attractor
    • Simo C 1979 On the Hénon-Pomeau attractor J. Stat. Phys. 21 465-94
    • (1979) J. Stat. Phys. , vol.21 , pp. 465-494
    • Simo, C.1
  • 35
    • 0036117030 scopus 로고    scopus 로고
    • From invariant curves to strange attractors
    • Wang Q and Young L-S 2002 From invariant curves to strange attractors Commun. Math. Phys. 225 275-304
    • (2002) Commun. Math. Phys. , vol.225 , pp. 275-304
    • Wang, Q.1    Young, L.-S.2
  • 36
    • 0030318276 scopus 로고    scopus 로고
    • Overcompensatory recruitment and generation delay in discrete age-structured population models
    • Wikan A and Mjølhus E 1996 Overcompensatory recruitment and generation delay in discrete age-structured population models J. Math. Biol. 35 195-239
    • (1996) J. Math. Biol. , vol.35 , pp. 195-239
    • Wikan, A.1    Mjølhus, E.2
  • 37
    • 4644314821 scopus 로고    scopus 로고
    • Demography and the West - Half a billion Americans?
    • 22 August
    • 2002 Demography and the West - Half a billion Americans? The Economist 22 August
    • (2002) The Economist


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.