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Volumn 15, Issue 5, 2005, Pages 1625-1639

On some global bifurcations of the domains of feasible trajectories: An analysis of recurrence equations

Author keywords

Basin of attractor; Critical curves; Ecological model; Focal point; Global domain bifurcations; Non invertible maps

Indexed keywords

BOUNDARY CONDITIONS; CURVE FITTING; DISCRETE TIME CONTROL SYSTEMS; EQUATIONS OF MOTION; MAPS; RECURRENT NEURAL NETWORKS; TIME DOMAIN ANALYSIS;

EID: 22144472599     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127405012958     Document Type: Article
Times cited : (7)

References (13)
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    • Aronson, D.G.1    Chory, M.A.2    McGehee, R.P.3
  • 3
    • 0016740371 scopus 로고
    • Dynamic complexity in predator-prey model framed in difference equations
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    • (1975) Nature , vol.255 , pp. 58-60
    • Beddington, J.R.1    Free, C.A.2    Lawton, J.H.3
  • 4
  • 5
    • 0017640136 scopus 로고
    • Persistence and convergence of ecosystems: An analysis of some second order difference equations
    • Levine, S. H., Scudo, F. M. & Plunkett, D. J. [1977] "Persistence and convergence of ecosystems: An analysis of some second order difference equations," J. Math. Biol. 4, 171-182.
    • (1977) J. Math. Biol. , vol.4 , pp. 171-182
    • Levine, S.H.1    Scudo, F.M.2    Plunkett, D.J.3
  • 6
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • May, R. M. [1976] "Simple mathematical models with very complicated dynamics," Nature 261, 459-475.
    • (1976) Nature , vol.261 , pp. 459-475
    • May, R.M.1
  • 10
    • 0011308876 scopus 로고
    • Hopf bifurcation in the simple nonlinear recurrence equation x(t + 1) = Ax(t)(1 -x(t- 1))
    • Morimoto, Y. [1988] "Hopf bifurcation in the simple nonlinear recurrence equation x(t + 1) = Ax(t)(1 -x(t- 1))," Phys. Lett. A134, 179-182.
    • (1988) Phys. Lett. , vol.A134 , pp. 179-182
    • Morimoto, Y.1
  • 11
    • 0011303713 scopus 로고
    • Variation and bifurcation diagram in difference equation, x(t + 1) = ax(t)(1 -x(t) - Bx(t - 1))
    • Morimoto, Y. [1989] "Variation and bifurcation diagram in difference equation, x(t + 1) = ax(t)(1 -x(t) - bx(t - 1))," Trans. IEEICE 72, 1-3.
    • (1989) Trans. IEEICE , vol.72 , pp. 1-3
    • Morimoto, Y.1
  • 13
    • 0018885403 scopus 로고
    • The geometry of chaos: Dynamics of a nonlinear second-order difference equation
    • Pounder, J. R. & Rogers, T. D. [1980] "The geometry of chaos: Dynamics of a nonlinear second-order difference equation," Bull. Math. Biol. 42, 551-597.
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    • Pounder, J.R.1    Rogers, T.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.