메뉴 건너뛰기




Volumn 7, Issue 3, 2012, Pages

Galerkin approximations for higher order delay differential equations

Author keywords

[No Author keywords available]

Indexed keywords

EQUIVALENT SYSTEM; FIRST ORDER; GALERKIN APPROXIMATIONS; HIGHER ORDER; NONLINEAR BOUNDARY; NONLINEAR DELAY DIFFERENTIAL EQUATION; NUMERICAL SOLUTION; PARAMETER VALUES;

EID: 84859081911     PISSN: 15551415     EISSN: 15551423     Source Type: Journal    
DOI: 10.1115/1.4005931     Document Type: Article
Times cited : (32)

References (23)
  • 2
    • 0034509077 scopus 로고    scopus 로고
    • Numerical modelling in biosciences using delay differential equations
    • DOI 10.1016/S0377-0427(00)00468-4
    • Bocharov, G., and Rihan, F., 2000, "Numerical Modelling in Biosciences Using Delay Differential Equations," J. Comput. Appl. Math., 125(1-2), pp. 183-199. (Pubitemid 32034874)
    • (2000) Journal of Computational and Applied Mathematics , vol.125 , Issue.1-2 , pp. 183-199
    • Bocharov, G.A.1    Rihan, F.A.2
  • 3
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay systems: An overview of some recent advances and open problems
    • Richard, J., 2003, "Time-Delay Systems: An Overview of Some Recent Advances and Open Problems," Automatica, 39(10), pp. 1667-1694.
    • (2003) Automatica , vol.39 , Issue.10 , pp. 1667-1694
    • Richard, J.1
  • 4
    • 4344665210 scopus 로고    scopus 로고
    • Updated semi-discretization method for periodic delay-differential equations with discrete delay
    • DOI 10.1002/nme.1061
    • Insperger, T. and Stépán, G., 2004, "Updated Semi-Discretization Method for Periodic Delay-Differential Equations With Discrete Delay," Int. J. Numer. Methods Eng., 61(1), pp. 117-141. (Pubitemid 39115803)
    • (2004) International Journal for Numerical Methods in Engineering , vol.61 , Issue.1 , pp. 117-141
    • Insperger, T.1    Stepan, G.2
  • 6
    • 34248357608 scopus 로고    scopus 로고
    • Nonlinear dynamics of milling processes
    • Balachandran, B., 2001, "Nonlinear Dynamics of Milling Processes," Philos. Trans. R. Soc. London, Ser. A, 359(1781), pp. 793-819.
    • (2001) Philos. Trans. R. Soc. London, Ser. A , vol.359 , Issue.1781 , pp. 793-819
    • Balachandran, B.1
  • 10
    • 9644307949 scopus 로고    scopus 로고
    • Method of lines approximations of delay differential equations
    • Koto, T., 2004, "Method of Lines Approximations of Delay Differential Equations," Comput. Math. Appl., 48(1-2), pp. 45-59.
    • (2004) Comput. Math. Appl. , vol.48 , Issue.1-2 , pp. 45-59
    • Koto, T.1
  • 11
    • 0242624847 scopus 로고    scopus 로고
    • Numerical solution of retarded functional differential equations as abstract Cauchy problems
    • DOI 10.1016/j.cam.2003.03.001
    • Maset, S., 2003, "Numerical Solution of Retarded Functional Differential Equations as Abstract Cauchy Problems," J. Comput. Appl. Math., 161(2), pp. 259-282. (Pubitemid 37425274)
    • (2003) Journal of Computational and Applied Mathematics , vol.161 , Issue.2 , pp. 259-282
    • Maset, S.1
  • 16
    • 84859057628 scopus 로고    scopus 로고
    • Numerical methods for bifurcations of dynamical equilibria
    • Govaerts, W., 2000, Numerical Methods for Bifurcations of Dynamical Equilibria, Society for Industrial Mathematics.
    • (2000) Society for Industrial Mathematics
    • Govaerts, W.1
  • 17
    • 8744230577 scopus 로고    scopus 로고
    • MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs
    • DOI 10.1145/779359.779362
    • Dhooge, A., Govaerts, W., and Kuznetsov, Y., 2003, "Matcont: A Matlab Package for Numerical Bifurcation Analysis of ODEs," ACM Trans. Math. Softw., 29(2), pp. 141-164. (Pubitemid 40001448)
    • (2003) ACM Transactions on Mathematical Software , vol.29 , Issue.2 , pp. 141-164
    • Dhooge, A.1    Govaerts, W.2    Kuznetsov, Yu.A.3
  • 20
    • 0141496219 scopus 로고    scopus 로고
    • Survey on recent results in the stability and control of time-delay systems
    • Gu, K. and Niculescu, S., 2003, "Survey on Recent Results in the Stability and Control of Time-Delay Systems," ASME. J. Dyn. Syst., Meas., Control, 125, p. 158.
    • (2003) ASME. J. Dyn. Syst., Meas., Control , vol.125 , pp. 158
    • Gu, K.1    Niculescu, S.2
  • 21
    • 33846856224 scopus 로고    scopus 로고
    • On synchronization of a forced delay dynamical system via the Galerkin approximation
    • DOI 10.1016/j.cnsns.2005.08.006, PII S1007570405001243
    • Ghosh, D., Saha, P., and Roy Chowdhury, A., 2007, "On Synchronization of a Forced Delay Dynamical System Via the Galerkin Approximation," Commun. Nonlinear Sci. Num. Sim., 12(6), pp. 928-941. (Pubitemid 46223844)
    • (2007) Communications in Nonlinear Science and Numerical Simulation , vol.12 , Issue.6 , pp. 928-941
    • Ghosh, D.1    Saha, P.2    Roy Chowdhury, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.