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Volumn 125, Issue 1-2, 2000, Pages 277-285

How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation?

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); NUMERICAL METHODS; THEOREM PROVING;

EID: 0034517077     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00473-8     Document Type: Article
Times cited : (8)

References (20)
  • 1
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    • C.T.H. Baker, N.J. Ford, Some applications of the boundary locus method and the method of D-partitions, IMA J. Numer. Anal. 11 (1991) 143-158.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 143-158
    • Baker, C.T.H.1    Ford, N.J.2
  • 5
    • 0038949330 scopus 로고    scopus 로고
    • Numerical Hopf bifurcation for the delay logistic equation
    • Manchester Centre for Computational Mathematics (ISSN 1360 1725)
    • N.J. Ford, V. Wulf, Numerical Hopf bifurcation for the delay logistic equation, Technical Report 323, Manchester Centre for Computational Mathematics (ISSN 1360 1725), 1998.
    • (1998) Technical Report , vol.323
    • Ford, N.J.1    Wulf, V.2
  • 6
    • 0039182052 scopus 로고    scopus 로고
    • The use of boundary locus plots in the identification of bifurcation points in the numerical approximation of delay differential equations
    • N.J. Ford, V. Wulf, The use of boundary locus plots in the identification of bifurcation points in the numerical approximation of delay differential equations, J. Comput. Appl. Math. 111 (1999) 153-162.
    • (1999) J. Comput. Appl. Math. , vol.111 , pp. 153-162
    • Ford, N.J.1    Wulf, V.2
  • 7
    • 0037860065 scopus 로고    scopus 로고
    • Numerical Hopf bifurcation for a class of delay differential equations
    • N.J. Ford, V. Wulf, Numerical Hopf bifurcation for a class of delay differential equations, J. Comput. Appl. Math. 115 (2000) 601-616.
    • (2000) J. Comput. Appl. Math. , vol.115 , pp. 601-616
    • Ford, N.J.1    Wulf, V.2
  • 8
    • 0343794742 scopus 로고    scopus 로고
    • A note on the approximation of Hopf bifurcations in DDEs by Runge-Kutta methods
    • (to appear), Manchester Centre for Computational Mathematics (ISSN 1360 1725)
    • N.J. Ford, Volker Wulf, A note on the approximation of Hopf bifurcations in DDEs by Runge-Kutta methods, Technical Report (to appear), Manchester Centre for Computational Mathematics (ISSN 1360 1725), 2000.
    • (2000) Technical Report
    • Ford, N.J.1    Wulf, V.2
  • 9
    • 0342489557 scopus 로고    scopus 로고
    • Hopf bifurcation for numerical approximations to the delay logistic equation
    • S.K. Dey (Ed.), Illinois, Institute of Applied Science and Computations
    • N.J. Ford, V. Wulf, Hopf bifurcation for numerical approximations to the delay logistic equation, in: S.K. Dey (Ed.), Proceedings of the IMACS Congr. on Computer Simulation and Mathematical Modelling, Illinois, 1998, Institute of Applied Science and Computations, pp. 249-254.
    • (1998) Proceedings of the IMACS Congr. on Computer Simulation and Mathematical Modelling , pp. 249-254
    • Ford, N.J.1    Wulf, V.2
  • 10
    • 0031505057 scopus 로고    scopus 로고
    • The life-span of backward error analysis for numerical integrators
    • E. Hairer, Ch. Lubich, The life-span of backward error analysis for numerical integrators, Numer. Math. 76 (1997) 441-462.
    • (1997) Numer. Math. , vol.76 , pp. 441-462
    • Hairer, E.1    Lubich, C.2
  • 13
    • 0346338234 scopus 로고    scopus 로고
    • Periodic solutions of delay differential equations under discretization
    • K.J. in't Hout, Ch. Lubich, Periodic solutions of delay differential equations under discretization, BIT 38 (1998) 72-91.
    • (1998) BIT , vol.38 , pp. 72-91
    • In't Hout, K.J.1    Lubich, C.2
  • 14
    • 0006811833 scopus 로고    scopus 로고
    • Naimark-Sacker bifurcations in the Euler method for a delay differential equation
    • T. Koto, Naimark-Sacker bifurcations in the Euler method for a delay differential equation, BIT 39 (1999) 110-115.
    • (1999) BIT , vol.39 , pp. 110-115
    • Koto, T.1
  • 20
    • 84992239003 scopus 로고    scopus 로고
    • Insight into the qualitative behaviour of numerical solutions to some delay differential equations
    • E.A. Lipitakis (Ed.), Athens, L.E.A
    • V. Wulf, N.J. Ford, Insight into the qualitative behaviour of numerical solutions to some delay differential equations, in: E.A. Lipitakis (Ed.), Proceedings of HERCMA 1998, Athens, 1999, L.E.A, pp. 629-636.
    • (1999) Proceedings of HERCMA 1998 , pp. 629-636
    • Wulf, V.1    Ford, N.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.