메뉴 건너뛰기




Volumn 20, Issue 11, 2007, Pages 2483-2498

Bifurcation analysis in a scalar delay differential equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 35548967647     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/20/11/002     Document Type: Article
Times cited : (71)

References (39)
  • 3
    • 38249025408 scopus 로고
    • Smooth bifurcation of symmetric periodic solutions of functional differential equations
    • Dormaer P 1989 Smooth bifurcation of symmetric periodic solutions of functional differential equations J. Diff. Eqns 82 109-55
    • (1989) J. Diff. Eqns , vol.82 , Issue.1 , pp. 109-155
    • Dormaer, P.1
  • 4
    • 84972534209 scopus 로고
    • Smooth symmetry breaking bifurcation for functional differential equations
    • Dormaer P 1992 Smooth symmetry breaking bifurcation for functional differential equations Diff. Int. Eqns 5 831-54
    • (1992) Diff. Int. Eqns , vol.5 , pp. 831-854
    • Dormaer, P.1
  • 5
    • 35548972089 scopus 로고    scopus 로고
    • Dormaer P 1996 Floquet multipliers and second bifurcation of periodic solutions of functional differential equations Habilitation Thesis Mathematisches Institut, Universität Gieen
    • (1996) Habilitation Thesis
    • Dormaer, P.1
  • 6
    • 0018373214 scopus 로고
    • Pathological conditions resulting from instabilities in physiological control systems
    • Glass L and Mackey M C 1979 Pathological conditions resulting from instabilities in physiological control systems Ann. New York Acad. Sci. 316 214-35
    • (1979) Ann. New York Acad. Sci. , vol.316 , Issue.1 , pp. 214-235
    • Glass, L.1    MacKey, M.C.2
  • 7
    • 0024905291 scopus 로고
    • Oscillations and global attractivity in respiratory dynamics
    • Gopalsamy K, Kulenovic M R S and Ladas G 1989 Oscillations and global attractivity in respiratory dynamics Dyn. Stab. Syst. 4 131-9
    • (1989) Dyn. Stab. Syst. , vol.4 , pp. 131-139
    • Gopalsamy, K.1    Kulenovic, M.R.S.2    Ladas, G.3
  • 8
    • 0001534959 scopus 로고
    • Oscillations and global attractivity in models of haematopoiesis
    • Gopalsamy K, Kulenovic M R S and Ladas G 1990 Oscillations and global attractivity in models of haematopoiesis Dyn. Diff. Eqns 2 117-32
    • (1990) Dyn. Diff. Eqns , vol.2 , Issue.2 , pp. 117-132
    • Gopalsamy, K.1    Kulenovic, M.R.S.2    Ladas, G.3
  • 14
    • 0036170039 scopus 로고    scopus 로고
    • Oscillation and stability in nonlinear delay differential equations of population dynamics
    • Kubiaczyk I and Saker S H 2002 Oscillation and stability in nonlinear delay differential equations of population dynamics Math. Comput. Modelling 35 295-301
    • (2002) Math. Comput. Modelling , vol.35 , Issue.3-4 , pp. 295-301
    • Kubiaczyk, I.1    Saker, S.H.2
  • 15
    • 0002153279 scopus 로고
    • On Bendixson's criterion
    • Li M Y and Muldowney J S 1993 On Bendixson's criterion J. Diff. Eqns 106 27-39
    • (1993) J. Diff. Eqns , vol.106 , Issue.1 , pp. 27-39
    • Li, M.Y.1    Muldowney, J.S.2
  • 16
    • 0000126226 scopus 로고
    • Solution multistability in first-order nonlinear differential delay equations
    • Losson J, Mackey M C and Longtin A 1993 Solution multistability in first-order nonlinear differential delay equations Chaos 3 167-76
    • (1993) Chaos , vol.3 , Issue.2 , pp. 167-176
    • Losson, J.1    MacKey, M.C.2    Longtin, A.3
  • 17
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control system
    • Mackey M C and Glass L 1977 Oscillation and chaos in physiological control system Science 197 287-9
    • (1977) Science , vol.197 , Issue.4300 , pp. 287-289
    • MacKey, M.C.1    Glass, L.2
  • 18
    • 84880990802 scopus 로고
    • Compound matrices and ordinary differential equations
    • Muldowney J S 1990 Compound matrices and ordinary differential equations Rocky Mountain J. Math. 20 857-71
    • (1990) Rocky Mountain J. Math. , vol.20 , pp. 857-871
    • Muldowney, J.S.1
  • 19
    • 0002545608 scopus 로고
    • An electronic analog of the Mackey-Glass system
    • Namaanas A, Pyragas K and Tamasevicius 1995 An electronic analog of the Mackey-Glass system Phys. Lett. A 201 42-6
    • (1995) Phys. Lett. , vol.201 , Issue.1 , pp. 42-46
    • Namaanas, A.1    Pyragas, K.2    Tamasevicius3
  • 20
    • 1842465386 scopus 로고    scopus 로고
    • On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
    • Ruan S and Wei J 2003 On the zeros of transcendental functions with applications to stability of delay differential equations with two delays Dyn. Contin. Discrete Impulsive Syst. Ser. A: Math. Anal. 10 863-74
    • (2003) Dyn. Contin. Discrete Impulsive Syst. Ser. A: Math. Anal. , vol.10 , pp. 863-874
    • Ruan, S.1    Wei, J.2
  • 21
    • 33746961598 scopus 로고    scopus 로고
    • Periodic solutions of planar systems with two delays
    • Ruan S and Wei J 1999 Periodic solutions of planar systems with two delays Proc. R. Soc. Edinburgh A 129 1017-32
    • (1999) Proc. R. Soc. Edinburgh , vol.129 , pp. 1017-1032
    • Ruan, S.1    Wei, J.2
  • 22
    • 11344262537 scopus 로고    scopus 로고
    • On the Floquet multipliers for slowly oscillating periodic solutions of nonlinear functional differential equations
    • Skubachevskii A L and Walther H-O 2003 On the Floquet multipliers for slowly oscillating periodic solutions of nonlinear functional differential equations Trudy Moskov. Mat. Obshch. 64 3-53
    • (2003) Trudy Moskov. Mat. Obshch. , vol.64 , pp. 3-53
    • Skubachevskii, A.L.1    Walther, H.-O.2
  • 24
    • 33744773854 scopus 로고    scopus 로고
    • On the Floquet multipliers of periodic solutions to non-linear functional differential equations
    • Skubachevskii A L and Walther H-O 2006 On the Floquet multipliers of periodic solutions to non-linear functional differential equations J. Dyn. Diff. Eqns 18 257-355
    • (2006) J. Dyn. Diff. Eqns , vol.18 , Issue.2 , pp. 257-355
    • Skubachevskii, A.L.1    Walther, H.-O.2
  • 25
    • 10144242643 scopus 로고    scopus 로고
    • Local Hopf bifurcation and global existence of periodic solutions in a delayed predator-prey system
    • Song Y and Wei J 2005 Local Hopf bifurcation and global existence of periodic solutions in a delayed predator-prey system J. Math. Anal. Appl. 301 1-21
    • (2005) J. Math. Anal. Appl. , vol.301 , Issue.1 , pp. 1-21
    • Song, Y.1    Wei, J.2
  • 26
    • 10144236930 scopus 로고    scopus 로고
    • Local and global Hopf bifurcation in a delayed hematopoliesis model
    • Song Y, Wei J and Han M 2004 Local and global Hopf bifurcation in a delayed hematopoliesis model Int. J. Bifur. Chaos 14 3909-19
    • (2004) Int. J. Bifur. Chaos , vol.14 , Issue.11 , pp. 3909-3919
    • Song, Y.1    Wei, J.2    Han, M.3
  • 27
    • 29844433573 scopus 로고    scopus 로고
    • Bifurcation analysis on a survival red blood cells model
    • Song Y, Wei J and Yuan Y 2006 Bifurcation analysis on a survival red blood cells model J. Math. Anal. Appl. 316 458-71
    • (2006) J. Math. Anal. Appl. , vol.316 , Issue.2 , pp. 459-471
    • Song, Y.1    Wei, J.2    Yuan, Y.3
  • 29
    • 0001198349 scopus 로고
    • Bifurcation from periodic solutions in functional differential equations
    • Walther H O 1982 Bifurcation from periodic solutions in functional differential equations Math. Z. 182 269-89
    • (1982) Math. Z. , vol.182 , Issue.2 , pp. 269-289
    • Walther, H.O.1
  • 30
    • 0001995554 scopus 로고
    • Mathematical problems of the dynamics of the red blood cells system
    • Wazewska-Czyzewska M and Lasota A 1976 Mathematical problems of the dynamics of the red blood cells system Mat. Stos. 6 23-40
    • (1976) Mat. Stos. , vol.6 , pp. 23-40
    • Wazewska-Czyzewska, M.1    Lasota, A.2
  • 31
    • 34548462206 scopus 로고    scopus 로고
    • Hopf bifurcation analysis in a Mackey-Glass system
    • Wei J and Fan D 2007 Hopf bifurcation analysis in a Mackey-Glass system Int. J. Bifur. Chaos. 17 2149-57
    • (2007) Int. J. Bifur. Chaos. , vol.17 , Issue.6 , pp. 2149-2157
    • Wei, J.1    Fan, D.2
  • 32
    • 6444228136 scopus 로고    scopus 로고
    • Global existence of periodic solutions in a tri-neuron network model with delays
    • Wei J and Li M Y 2004 Global existence of periodic solutions in a tri-neuron network model with delays Physica D: Nonlin. Phenom. 198 106-19
    • (2004) Physica D: Nonlin. Phenom. , vol.198 , Issue.1-2 , pp. 106-119
    • Wei, J.1    Li, M.Y.2
  • 33
    • 12244312783 scopus 로고    scopus 로고
    • Hopf bifurcation analysis in a delayed Nicholson blowflies equation
    • Wei J and Li M Y 2005 Hopf bifurcation analysis in a delayed Nicholson blowflies equation Nonlin. Anal. 60 1351-67
    • (2005) Nonlin. Anal. , vol.60 , Issue.7 , pp. 1351-1367
    • Wei, J.1    Li, M.Y.2
  • 34
    • 1342339144 scopus 로고    scopus 로고
    • Stability and global bifurcation for neutral differential equations
    • Wei J and 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
  • 35
    • 27644482807 scopus 로고    scopus 로고
    • Synchronized Hopf bifurcation analysis in a neural network model with delays
    • Wei J and Yuan Y 2005 Synchronized Hopf bifurcation analysis in a neural network model with delays J. Math. Anal. Appl. 312 205-29
    • (2005) J. Math. Anal. Appl. , vol.312 , Issue.1 , pp. 205-229
    • Wei, J.1    Yuan, Y.2
  • 36
    • 33746834593 scopus 로고    scopus 로고
    • Bifurcation analysis of a population model and the resulting SIS epidemic model with delay
    • Wei J and Zou X 2006 Bifurcation analysis of a population model and the resulting SIS epidemic model with delay J. Comput. Appl. Math. 197 168-87
    • (2006) J. Comput. Appl. Math. , vol.197 , Issue.1 , pp. 169-187
    • Wei, J.1    Zou, X.2
  • 37
    • 0036887641 scopus 로고    scopus 로고
    • The existence of periodic solutions for some model with delay
    • Wen X and Wang Z 2002 The existence of periodic solutions for some model with delay Nonlin. Anal.: Real World Appl. 3 567-81
    • (2002) Nonlin. Anal.: Real World Appl. , vol.3 , Issue.4 , pp. 567-581
    • Wen, X.1    Wang, Z.2
  • 38
    • 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. Am. Math. Soc. 350 4799-838
    • (1998) Trans. Am. Math. Soc. , vol.350 , Issue.12 , pp. 4799-4838
    • Wu, J.1
  • 39
    • 0002058464 scopus 로고    scopus 로고
    • Oscillations and global attractivity in delay differential equations of population dynamics
    • Zaghrout A, Ammar A and Ei-Sheikh M A 1996 Oscillations and global attractivity in delay differential equations of population dynamics Appl. Math. Comput. 77 195-204
    • (1996) Appl. Math. Comput. , vol.77 , Issue.2-3 , pp. 195-204
    • Zaghrout, A.1    Ammar, A.2    Ei-Sheikh, M.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.