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Volumn 20, Issue 3, 2004, Pages 489-496

Bifurcation and chaotic behavior in the Euler method for a Kaplan-Yorke prototype delay model

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; OSCILLATIONS; SYNCHRONIZATION;

EID: 0242270961     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00408-9     Document Type: Article
Times cited : (20)

References (13)
  • 1
    • 45149140777 scopus 로고
    • The stability of special symmetric solutions of with small amplitudes
    • Dormayer P. The stability of special symmetric solutions of with small amplitudes. Nonlinear Anal. TMA. 14(8):1990;701-715.
    • (1990) Nonlinear Anal. TMA , vol.14 , Issue.8 , pp. 701-715
    • Dormayer, P.1
  • 2
    • 38249025408 scopus 로고
    • Smooth bifurcation of symmetrical periodic solution of functional differential equations
    • Dormayer P. Smooth bifurcation of symmetrical periodic solution of functional differential equations. J. Diff. Eqs. 122:1989;109-155.
    • (1989) J. Diff. Eqs. , vol.122 , pp. 109-155
    • Dormayer, P.1
  • 5
    • 0016128963 scopus 로고
    • Ordinary differential equations which yields periodic solutions of delay differential equations
    • Kaplan J.L., Yorke J.A. Ordinary differential equations which yields periodic solutions of delay differential equations. J. Math. Anal. Appl. 48:1974;317-324.
    • (1974) J. Math. Anal. Appl. , vol.48 , pp. 317-324
    • Kaplan, J.L.1    Yorke, J.A.2
  • 8
    • 0016946745 scopus 로고
    • A note on difference-delay equations
    • Levin S.A., May R.M. A note on difference-delay equations. Theoret. Popul. Biol. 9:1976;178-187.
    • (1976) Theoret. Popul. Biol. , vol.9 , pp. 178-187
    • Levin, S.A.1    May, R.M.2
  • 10
    • 0036600405 scopus 로고    scopus 로고
    • The generalized Henon maps: Examples for higher-dimensional chaos
    • Richter H. The generalized Henon maps: examples for higher-dimensional chaos. Int. J. Bifur. Chaos. 12(6):2002;1371-1384.
    • (2002) Int. J. Bifur. Chaos , vol.12 , Issue.6 , pp. 1371-1384
    • Richter, H.1
  • 11
    • 0037332886 scopus 로고    scopus 로고
    • On the chaotic behavior of a prototype delayed dynamical system
    • Uçar A. On the chaotic behavior of a prototype delayed dynamical system. Chaos, Solitons & Fractals. 16:2003;187-194.
    • (2003) Chaos, Solitons & Fractals , vol.16 , pp. 187-194
    • Uçar, A.1
  • 12
    • 0036027901 scopus 로고    scopus 로고
    • A prototype model for chaos studies
    • Uçar A. A prototype model for chaos studies. Int. J. Eng. Sci. 40:2002;251-258.
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 251-258
    • Uçar, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.