메뉴 건너뛰기




Volumn 17, Issue 6, 2007, Pages 2149-2157

Hopf bifurcation analysis in a Mackey-glass system

Author keywords

Delay; Hopf bifurcation; Mackey Glass system; Periodic solution

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; HOPF BIFURCATION;

EID: 34548462206     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407018282     Document Type: Article
Times cited : (31)

References (24)
  • 3
    • 0024905291 scopus 로고
    • Oscillations and global attractivity in respiratory dynamics
    • Gopalsamy, K., Kulenovic, M. R. S. & Ladas, G. [1989] "Oscillations and global attractivity in respiratory dynamics," Dyn. Stab. Syst. 4, 131-139.
    • (1989) Dyn. Stab. Syst , vol.4 , pp. 131-139
    • Gopalsamy, K.1    Kulenovic, M.R.S.2    Ladas, G.3
  • 4
    • 0001534959 scopus 로고
    • Oscillations and global attractivity in models of haematopoiesis
    • Gopalsamy, K., Kulenovic, M. R. S. & Ladas, G. [1990] "Oscillations and global attractivity in models of haematopoiesis," Dyn. Diff. Eqs. 2, 117-132.
    • (1990) Dyn. Diff. Eqs , vol.2 , pp. 117-132
    • Gopalsamy, K.1    Kulenovic, M.R.S.2    Ladas, G.3
  • 8
    • 0036170039 scopus 로고    scopus 로고
    • Oscillation and stability in nonlinear delay differential equations of population dynamics
    • Kubiaczyk, I. & Saker, S. H. [2002] "Oscillation and stability in nonlinear delay differential equations of population dynamics," Math. Comput. Model. 35, 295-301.
    • (2002) Math. Comput. Model , vol.35 , pp. 295-301
    • Kubiaczyk, I.1    Saker, S.H.2
  • 9
    • 0002153279 scopus 로고
    • On Bendixson's criterion
    • Li, M. Y. & Muldowney, J. S. [1994] "On Bendixson's criterion," J. Diff. Eqs. 106, 27-39.
    • (1994) J. Diff. Eqs , vol.106 , pp. 27-39
    • Li, M.Y.1    Muldowney, J.S.2
  • 10
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control system
    • Mackey, M. C. & Glass, L. [1977] "Oscillation and chaos in physiological control system," Science 197, 287289.
    • (1977) Science , vol.197 , pp. 287289
    • Mackey, M.C.1    Glass, L.2
  • 11
    • 84880990802 scopus 로고
    • Compound matrices and ordinary differential equations
    • Muldowney, J. S. [1990] "Compound matrices and ordinary differential equations," Rocky Mountain J. Math. 20, 857-871.
    • (1990) Rocky Mountain J. Math , vol.20 , pp. 857-871
    • Muldowney, J.S.1
  • 12
    • 33746961598 scopus 로고    scopus 로고
    • Periodic solutions of planar systems with two delays
    • Ruan, S. & Wei, J. [1999] "Periodic solutions of planar systems with two delays," Proc. R. Roc. Edinb. A 129, 1017-1032.
    • (1999) Proc. R. Roc. Edinb. A , vol.129 , pp. 1017-1032
    • Ruan, S.1    Wei, J.2
  • 13
    • 1842465386 scopus 로고    scopus 로고
    • On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
    • Ruan, S. & Wei, J. [2003] "On the zeros of transcendental functions with applications to stability of delay differential equations with two delays," Dynamics of Continuous, Discrete and Impulsive Systems Series A: Math. Anal, Vol. 10, pp. 863-874.
    • (2003) Dynamics of Continuous, Discrete and Impulsive Systems Series A: Math. Anal , vol.10 , pp. 863-874
    • Ruan, S.1    Wei, J.2
  • 14
    • 10144236930 scopus 로고    scopus 로고
    • Local and global Hopf bifurcation in a delayed hematopoliesis model
    • Song, Y., Wei, J. & Han, M. [2004] "Local and global Hopf bifurcation in a delayed hematopoliesis model," Int. J. Bifurcation and Chaos 14, 3909-3919.
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 3909-3919
    • Song, Y.1    Wei, J.2    Han, M.3
  • 15
    • 10144242643 scopus 로고    scopus 로고
    • Local Hopf bifurcation and global existence of periodic solutions in a delayed predator-prey system
    • Song, Y. & Wei, J. [2005] "Local Hopf bifurcation and global existence of periodic solutions in a delayed predator-prey system," J. Math. Anal. Appl. 301, 121.
    • (2005) J. Math. Anal. Appl , vol.301 , pp. 121
    • Song, Y.1    Wei, J.2
  • 16
    • 29844433573 scopus 로고    scopus 로고
    • Bifurcation analysis on a survival red blood cells model
    • Song, Y., Wei, J. & Yuan, Y. [2006] "Bifurcation analysis on a survival red blood cells model," J. Math. Anal. Appl. 316, 458-471.
    • (2006) J. Math. Anal. Appl , vol.316 , pp. 458-471
    • Song, Y.1    Wei, J.2    Yuan, Y.3
  • 17
    • 1342339144 scopus 로고    scopus 로고
    • Stability and global bifurcation for neutral differential equations
    • in Chinese
    • Wei, J. & Ruan, S. [2002] "Stability and global bifurcation for neutral differential equations," Acta Math. Sin. 45, 93-104 (in Chinese).
    • (2002) Acta Math. Sin , vol.45 , pp. 93-104
    • Wei, J.1    Ruan, S.2
  • 18
    • 12244312783 scopus 로고    scopus 로고
    • Hopf bifurcation analysis in a delayed Nicholson blowflies equation
    • Wei, J. & Li, M. Y. [2005] "Hopf bifurcation analysis in a delayed Nicholson blowflies equation," Nonlin. Anal. 60,1351-1367.
    • (2005) Nonlin. Anal , vol.60 , pp. 1351-1367
    • Wei, J.1    Li, M.Y.2
  • 19
    • 27644482807 scopus 로고    scopus 로고
    • Synchronized Hopf bifurcation analysis in a neural network model with delays
    • Wei, J. & Yuan, Y. [2005] "Synchronized Hopf bifurcation analysis in a neural network model with delays," J. Math. Anal. Appl. 312, 205-229.
    • (2005) J. Math. Anal. Appl , vol.312 , pp. 205-229
    • Wei, J.1    Yuan, Y.2
  • 20
    • 33746834593 scopus 로고    scopus 로고
    • Bifurcation analysis of a population model and the resulting SIS epidemic model with delay
    • Wei, J. & Zou, X. [2006] "Bifurcation analysis of a population model and the resulting SIS epidemic model with delay," J. Comput. Appl. Math. 197, 169-187.
    • (2006) J. Comput. Appl. Math , vol.197 , pp. 169-187
    • Wei, J.1    Zou, X.2
  • 21
    • 0036887641 scopus 로고    scopus 로고
    • The existence of periodic solutions for some model with delay
    • Wen, X. & Wang, Z. [2002] "The existence of periodic solutions for some model with delay," Nonlin. Anal.: Real World Appl. 3, 567-581.
    • (2002) Nonlin. Anal.: Real World Appl , vol.3 , pp. 567-581
    • Wen, X.1    Wang, Z.2
  • 22
    • 33646864830 scopus 로고    scopus 로고
    • Symmetric functional differential equations and neural networks with memory
    • Wu, J. [1998] "Symmetric functional differential equations and neural networks with memory," Trans. Amer. Math. Soc. 350, 4799-4838.
    • (1998) Trans. Amer. Math. Soc , vol.350 , pp. 4799-4838
    • Wu, J.1
  • 23
    • 0002058464 scopus 로고    scopus 로고
    • Oscillations and global attractivity in delay differential equations of population dynamics
    • Zaghrout, A., Ammar, A. & Ei-Sheikh, M. M. A. [1996] "Oscillations and global attractivity in delay differential equations of population dynamics," Appl. Math. Comp. 77, 195-204.
    • (1996) Appl. Math. Comp , vol.77 , pp. 195-204
    • Zaghrout, A.1    Ammar, A.2    Ei-Sheikh, M.M.A.3
  • 24
    • 2442605827 scopus 로고    scopus 로고
    • Stability and bifurcation analysis in a kind of business cycle model with delay
    • Zhang, C. & Wei, J. [2004] "Stability and bifurcation analysis in a kind of business cycle model with delay," Chaos Solit. Fract. 22, 883-896.
    • (2004) Chaos Solit. Fract , vol.22 , pp. 883-896
    • Zhang, C.1    Wei, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.