메뉴 건너뛰기




Volumn 7, Issue 2, 2007, Pages 351-363

A model function for non-autonomous bifurcations of maps

Author keywords

Beverton holt equation; Non autonomous bifurcation theory; Non autonomous discrete time dynamical systems; Pitchfork bifurcation; Transcritical bifurcation

Indexed keywords


EID: 34247273592     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2007.7.351     Document Type: Article
Times cited : (6)

References (13)
  • 1
    • 8644219736 scopus 로고    scopus 로고
    • The dichotomy spectrum for noninvertible systems of linear difference equations
    • B. Aulbach and S. Siegmund. The dichotomy spectrum for noninvertible systems of linear difference equations, J. Differ. Equations Appl., 7 (2001), 895-913.
    • (2001) J. Differ. Equations Appl , vol.7 , pp. 895-913
    • Aulbach, B.1    Siegmund, S.2
  • 2
    • 0001510308 scopus 로고
    • On the dynamics of exploited fish populations
    • R. J. H. Beverton and S. J. Holt. On the dynamics of exploited fish populations, Fishery invest., 19 (1967), 1-633.
    • (1967) Fishery invest , vol.19 , pp. 1-633
    • Beverton, R.J.H.1    Holt, S.J.2
  • 3
    • 10944258097 scopus 로고    scopus 로고
    • Global stability of periodic orbits of non-autonomous difference equations and population biology
    • S. Elaydi and R. J. Sacker. Global stability of periodic orbits of non-autonomous difference equations and population biology, J. Differential Equations, 308 (2005), 268-273.
    • (2005) J. Differential Equations , vol.308 , pp. 268-273
    • Elaydi, S.1    Sacker, R.J.2
  • 4
    • 27844540277 scopus 로고    scopus 로고
    • The stochastic Beverton-Holt equation and the M. Neubert conjecture
    • C. Haskell and R. J. Sacker. The stochastic Beverton-Holt equation and the M. Neubert conjecture, J. Dynam. Differential Equations, 17 (2005), 825-844.
    • (2005) J. Dynam. Differential Equations , vol.17 , pp. 825-844
    • Haskell, C.1    Sacker, R.J.2
  • 5
    • 9144229424 scopus 로고    scopus 로고
    • A model function for polynomial rates in discrete dynamical systems
    • T. Hüls. A model function for polynomial rates in discrete dynamical systems, Applied Mathematics Letters, 17 (2004), 1-5.
    • (2004) Applied Mathematics Letters , vol.17 , pp. 1-5
    • Hüls, T.1
  • 6
    • 0006963162 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, RI
    • Y. Ilyashenko and W. Li. "Nonlocal Bifurcations," American Mathematical Society, Providence, RI, 1999.
    • (1999) Nonlocal Bifurcations
    • Ilyashenko, Y.1    Li, W.2
  • 7
    • 21144432959 scopus 로고    scopus 로고
    • Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems
    • P. E. Kloeden and S. Siegmund. Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 15 (2005), 743-762.
    • (2005) Internat. J. Bifur. Chaos Appl. Sci. Engrg , vol.15 , pp. 743-762
    • Kloeden, P.E.1    Siegmund, S.2
  • 8
    • 22544452119 scopus 로고    scopus 로고
    • A note on the nonautonomous Beverton-Holt model
    • V. L. Kocic. A note on the nonautonomous Beverton-Holt model, J. Difference Equ. Appl., 11 (2005), 415-422.
    • (2005) J. Difference Equ. Appl , vol.11 , pp. 415-422
    • Kocic, V.L.1
  • 9
    • 34247234035 scopus 로고    scopus 로고
    • Y. A. Kuznetsov. Elements of Applied Bifurcation Theory, 112 of Applied Mathematical Sciences. Springer-Verlag, New York, third edition, 2004.
    • Y. A. Kuznetsov. "Elements of Applied Bifurcation Theory," volume 112 of Applied Mathematical Sciences. Springer-Verlag, New York, third edition, 2004.
  • 10
    • 0042279255 scopus 로고    scopus 로고
    • Stability, instability, and bifurcation phenomena in non-autonomous differential equations
    • J. A. Langa, J. C. Robinson, and A. Suárez. Stability, instability, and bifurcation phenomena in non-autonomous differential equations, Nonlinearity, 15 (2002), 887-903.
    • (2002) Nonlinearity , vol.15 , pp. 887-903
    • Langa, J.A.1    Robinson, J.C.2    Suárez, A.3
  • 12
    • 34247278187 scopus 로고    scopus 로고
    • Towards a bifurcation theory for nonautonomous difference equations
    • M. Rasmussen. Towards a bifurcation theory for nonautonomous difference equations, J. Difference Equ. Appl., 13 (2006), 297-312.
    • (2006) J. Difference Equ. Appl , vol.13 , pp. 297-312
    • Rasmussen, M.1
  • 13
    • 34247249361 scopus 로고    scopus 로고
    • S. Wiggins. Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2 of Texts in Applied Mathematics, Springer-Verlag, New York, second edition, 2003.
    • S. Wiggins. "Introduction to Applied Nonlinear Dynamical Systems and Chaos," volume 2 of Texts in Applied Mathematics, Springer-Verlag, New York, second edition, 2003.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.