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Volumn 6 B, Issue , 2005, Pages 719-728

Discrete Fourier series approximation to periodic solutions of autonomous delay differential equations

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; FOURIER TRANSFORMS; MATRIX ALGEBRA; TIME VARYING SYSTEMS; VECTORS;

EID: 33244488776     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-84038     Document Type: Conference Paper
Times cited : (5)

References (21)
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    • Engelborghs, K.1    Luzyanina, T.2    In 'T Hout, K.J.3    Roose, D.4
  • 2
    • 38249015780 scopus 로고
    • Developing a delay differential equation solver
    • Paul, C. A. H., 1992, "Developing a Delay Differential Equation Solver," Applied Numerical Mathematics, 9, pp. 403-414.
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    • Paul, C.A.H.1
  • 6
    • 2342620543 scopus 로고
    • On the approximation of nonlinear oscillations
    • Stokes, A., 1972, "On the Approximation of Nonlinear Oscillations," Journal of Differential Equations, 12, pp. 535-558.
    • (1972) Journal of Differential Equations , vol.12 , pp. 535-558
    • Stokes, A.1
  • 7
    • 0016961733 scopus 로고
    • On the existence of periodic solutions of functional differential equations
    • Stokes, A. P., 1976, "On the Existence of Periodic Solutions of Functional Differential Equations," Journal of Mathematical Analysis and Applications, 54, pp. 634-652.
    • (1976) Journal of Mathematical Analysis and Applications , vol.54 , pp. 634-652
    • Stokes, A.P.1
  • 8
    • 0001068498 scopus 로고
    • Galerkin's procedures for nonlinear periodic systems
    • Urabe, M., 1965, "Galerkin's Procedures for Nonlinear Periodic Systems," Arch. Rational Mech., 20, pp. 120-152.
    • (1965) Arch. Rational Mech. , vol.20 , pp. 120-152
    • Urabe, M.1
  • 9
    • 4344645849 scopus 로고    scopus 로고
    • Approximating limit cycles of a Van der Pol equation with delay
    • To appear
    • Gilsinn, D. E., 2004, "Approximating Limit Cycles of a Van der Pol Equation with Delay," Proc. Of Dynamic Systems and Applications, 4, To appear.
    • (2004) Proc. of Dynamic Systems and Applications , vol.4
    • Gilsinn, D.E.1
  • 10
    • 0842292216 scopus 로고
    • Harmonic balance in delay-differential equations
    • MacDonald, N., 1995, "Harmonic Balance in Delay-Differential Equations," Journal of Sound and Vibration, 186, (4), pp. 649-656.
    • (1995) Journal of Sound and Vibration , vol.186 , Issue.4 , pp. 649-656
    • MacDonald, N.1
  • 11
    • 0019070376 scopus 로고
    • A poincaré-lindstedt approach to bifurcation problems for differential-delay equations
    • Casal, A., and Freedman, M., 1980, "A Poincaré-Lindstedt Approach to Bifurcation Problems for Differential-Delay Equations," IEEE Transactions on Automatic Control, AC-25, (5), pp. 967-973.
    • (1980) IEEE Transactions on Automatic Control , vol.AC-25 , Issue.5 , pp. 967-973
    • Casal, A.1    Freedman, M.2
  • 12
    • 0010206984 scopus 로고
    • A perturbative approach to periodic solutions of delay-differential equations
    • Morris, H. C., 1976, "A Perturbative Approach to Periodic Solutions of Delay-Differential Equations," J. Inst. Maths Applics, 18, pp. 15-24.
    • (1976) J. Inst. Maths Applics , vol.18 , pp. 15-24
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  • 13
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    • Numerical computation of nonlinear forced oscillations by Galerkin's procedure
    • Urabe, M., and Reiter, A., 1966, "Numerical Computation of Nonlinear Forced Oscillations by Galerkin's Procedure," Journal of Mathematical Analysis and Applications, 14, pp. 107-140.
    • (1966) Journal of Mathematical Analysis and Applications , vol.14 , pp. 107-140
    • Urabe, M.1    Reiter, A.2
  • 15
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    • Prentice-Hall, Inc., Englewood Cliffs
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  • 20
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    • Computing floquet multipliers for functional differential equations
    • Luzyanina, T., and Engelborghs, K., 2002, "Computing Floquet Multipliers for Functional Differential Equations," International Journal of Bifurcation and Chaos, 12, (12), pp. 2977-2989.
    • (2002) International Journal of Bifurcation and Chaos , vol.12 , Issue.12 , pp. 2977-2989
    • Luzyanina, T.1    Engelborghs, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.