메뉴 건너뛰기




Volumn 6, Issue 1, 2000, Pages 105-119

On the discretization of a delay differential equation

Author keywords

Attracting hyperbolic cycles; Difference delay equations; Euler discretizations; Interval maps; Singularly perturbed delay differential equations; Stable periodic solutions of difference equations

Indexed keywords


EID: 12344260001     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190008808216     Document Type: Article
Times cited : (21)

References (18)
  • 1
    • 84974066979 scopus 로고
    • From sine waves to square waves in delay equations
    • S.-N. Chow, J.K. Hale and W. Huang, From sine waves to square waves in delay equations. Proc. Royal Soc. Edinburgh 120A (1992), 223-229.
    • (1992) Proc. Royal Soc. Edinburgh , vol.120 A , pp. 223-229
    • Chow, S.-N.1    Hale, J.K.2    Huang, W.3
  • 2
    • 0020865905 scopus 로고
    • Singularly perturbed delay-differential equations
    • J. Chandra and A.C. Scott, Eds.), North-Holland, Amsterdam
    • S.-N. Chow and J. Mallet-Paret, Singularly perturbed delay-differential equations. In: Coupled Nonlinear Oscillators (J. Chandra and A.C. Scott, Eds.), North-Holland, Amsterdam, 1983.
    • (1983) Coupled Nonlinear Oscillators
    • Chow, S.-N.1    Mallet-Paret, J.2
  • 3
    • 0001376344 scopus 로고
    • Differential difference equations and nonlinear initial-boundary-value problems for linear hyperbolic partial differential equations
    • K.L. Cooke and D. Krumme, Differential difference equations and nonlinear initial-boundary-value problems for linear hyperbolic partial differential equations. J. Math. Anal. Appl. 24 (1968), 372-387.
    • (1968) J. Math. Anal. Appl , vol.24 , pp. 372-387
    • Cooke, K.L.1    Krumme, D.2
  • 6
    • 0000454723 scopus 로고
    • Spurious steady state solutions of explicit Runge-Kutta schemes
    • D.F. Griffiths, P.K. Sweby and H.C. Yee, Spurious steady state solutions of explicit Runge-Kutta schemes. IMA J. Num. Anal. 12 (1992), 319-338.
    • (1992) IMA J. Num. Anal , vol.12 , pp. 319-338
    • Griffiths, D.F.1    Sweby, P.K.2    Yee, H.C.3
  • 7
    • 0000000622 scopus 로고
    • On a high order differential delav eauation
    • J.K. Hale and A.F. Ivanov, On a high order differential delav eauation. J. Math. Anal. Appl. 173 (1993), 505-514.
    • (1993) J. Math. Anal. Appl , vol.173 , pp. 505-514
    • Hale, J.K.1    Ivanov, A.F.2
  • 9
    • 35949025187 scopus 로고
    • Optical turbulence: Chaotic behaviour of transmitted light from a ring cavity
    • K. JJceda, H. Daido and O. Akimoto, Optical turbulence: chaotic behaviour of transmitted light from a ring cavity. Phys. Rev. Let. 45 (1980), 709-712.
    • (1980) Phys. Rev. Let , vol.45 , pp. 709-712
    • Jjceda, K.1    Daido, H.2    Akimoto, O.3
  • 12
    • 0001842517 scopus 로고
    • Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
    • J. Mallet-Paret and R.D. Nussbaum, Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation, Ann. Mat. Pura Awl. 145(1986), 33-128,
    • (1986) Ann. Mat. Pura Awl , vol.145 , pp. 33-128
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 13
    • 0000145206 scopus 로고
    • A differential delay equation arising in optics ' and physiology
    • J. Mallet-Paret and R.D. Nussbaum, A differential delay equation arising in optics ' and physiology. SI AM J. Math. Anal. 20 (1989), 249-292.
    • (1989) SI AM J. Math. Anal , vol.20 , pp. 249-292
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 14
    • 0002625020 scopus 로고
    • Self-osciliation in a transmission line with a tunnel diode
    • J. Nagumo and M. Shimura, Self-osciliation in a transmission line with a tunnel diode. Proc. IRE 1961,1281-1291.
    • (1961) Proc. IRE , pp. 1281-1291
    • Nagumo, J.1    Shimura, M.2
  • 17
    • 0001223045 scopus 로고
    • On the Theory of the Violin String
    • (in Russian)
    • A.A. Witt, On the Theory of the Violin String. Zhurnal Technicheskoi Fiziki 6 (1936), 1459-1470 (in Russian).
    • (1936) Zhurnal Technicheskoi Fiziki , vol.6 , pp. 1459-1470
    • Witt, A.A.1
  • 18
    • 0000446512 scopus 로고
    • Delay Differential Equations: Theory and Numerics
    • (M. Ainsworth et al., Eds.), Clarendon Press, Oxford
    • M. Zennaro, Delay Differential Equations: Theory and Numerics. In: Theory and Numerics of Ordinary and Partial Differential Equations (M. Ainsworth et al., Eds.), Clarendon Press, Oxford, 1995, pp. 291-333.
    • (1995) Theory and Numerics of Ordinary and Partial Differential Equations , pp. 291-333
    • Zennaro, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.