메뉴 건너뛰기




Volumn , Issue , 2007, Pages 359-399

Continuation and bifurcation analysis of delay differential equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84892279136     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4020-6356-5_12     Document Type: Chapter
Times cited : (81)

References (85)
  • 4
    • 34248357608 scopus 로고    scopus 로고
    • Non-linear dynamics of milling process
    • B. Balachandran. Non-linear dynamics of milling process. Trans. Royal Soc., 359:793-820, 2001.
    • (2001) Trans. Royal Soc. , vol.359 , pp. 793-820
    • Balachandran, B.1
  • 5
    • 26944431952 scopus 로고    scopus 로고
    • Explicit periodic solutions in a model of a relay controller with delay and forcing
    • D. A. W. Barton, B. Krauskopf, and R. E. Wilson. Explicit periodic solutions in a model of a relay controller with delay and forcing. Nonlinearity, 18(6):2637-2656, 2005.
    • (2005) Nonlinearity , vol.18 , Issue.6 , pp. 2637-2656
    • Barton, D.A.W.1    Krauskopf, B.2    Wilson, R.E.3
  • 6
    • 33845789057 scopus 로고    scopus 로고
    • Collocation schemes for periodic solutions of neutral delay differential equations
    • D. A. W. Barton, B. Krauskopf, and R. E. Wilson. Collocation schemes for periodic solutions of neutral delay differential equations. J. Diff. Eqns. Appl., 12(11):1087-1101, 2006.
    • (2006) J. Diff. Eqns. Appl. , vol.12 , Issue.11 , pp. 1087-1101
    • Barton, D.A.W.1    Krauskopf, B.2    Wilson, R.E.3
  • 8
    • 0001340513 scopus 로고
    • The numerical computation of connecting orbits in dynamical systems
    • W. J. Beyn. The numerical computation of connecting orbits in dynamical systems. IMA J. Numer. Analysis, 9:379-405, 1990.
    • (1990) IMA J. Numer. Analysis , vol.9 , pp. 379-405
    • Beyn, W.J.1
  • 11
    • 33644627509 scopus 로고    scopus 로고
    • Solution operator approximation for delay differential equation characteristic roots computation via Runge-Kutta methods
    • D. Breda. Solution operator approximation for delay differential equation characteristic roots computation via Runge-Kutta methods. Appl. Numer. Math., 56:305-317, 2006.
    • (2006) Appl. Numer. Math. , vol.56 , pp. 305-317
    • Breda, D.1
  • 12
    • 1642580774 scopus 로고    scopus 로고
    • Computing the characteristic roots for delay differential equations
    • D. Breda, S. Maset, and R. Vermiglio. Computing the characteristic roots for delay differential equations. IMA J. Numer. Analysis, 24:1-19, 2004.
    • (2004) IMA J. Numer. Analysis , vol.24 , pp. 1-19
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 13
    • 33644937447 scopus 로고    scopus 로고
    • Pseudospectral differencing methods for characteristic roots of delay differential equations
    • D. Breda, S. Maset, and R. Vermiglio. Pseudospectral differencing methods for characteristic roots of delay differential equations. SIAM J. Sci. Comput., 27(2):482-495, 2005.
    • (2005) SIAM J. Sci. Comput. , vol.27 , Issue.2 , pp. 482-495
    • Breda, D.1    Maset, S.2    Vermiglio, R.3
  • 14
    • 0023362493 scopus 로고
    • Periodic solutions in a model of recurrent neural feedback
    • A. M. Castelfranco and H. W. Stech. Periodic solutions in a model of recurrent neural feedback. SIAM J. Appl. Math., 47(3):573-588, 1987.
    • (1987) SIAM J. Appl. Math. , vol.47 , Issue.3 , pp. 573-588
    • Castelfranco, A.M.1    Stech, H.W.2
  • 15
    • 21344442580 scopus 로고    scopus 로고
    • On the problem of linearization for state-dependent delay differential equations
    • K. L. Cooke and W. Huang. On the problem of linearization for state-dependent delay differential equations. Proc. Am. Math. Soc., 124(5), 1996.
    • (1996) Proc. Am. Math. Soc. , vol.124 , Issue.5
    • Cooke, K.L.1    Huang, W.2
  • 16
    • 0031212575 scopus 로고    scopus 로고
    • DKLAG6: A code based on continuously imbedded sixth order Runge-Kutta methods for the solution of state dependent functional differential equations
    • S. P. Corwin, D. Sarafyan, and S. Thompson. DKLAG6: A code based on continuously imbedded sixth order Runge-Kutta methods for the solution of state dependent functional differential equations. Appl. Numer. Math., 24(2-3):319-330, 1997.
    • (1997) Appl. Numer. Math. , vol.24 , Issue.2-3 , pp. 319-330
    • Corwin, S.P.1    Sarafyan, D.2    Thompson, S.3
  • 17
    • 12844259250 scopus 로고    scopus 로고
    • Technical report, Department of Computer and Information Science and Engineering, University of Florida, Gainesville, FL, USA
    • T. A. Davies. UMFPACK Version 4.1 User Guide. Technical report, Department of Computer and Information Science and Engineering, University of Florida, Gainesville, FL, USA, 2003. http://www.cise.ufl.edu/research/sparse/ umfpack/.
    • (2003) UMFPACK Version 4.1 User Guide
    • Davies, T.A.1
  • 19
    • 0031504868 scopus 로고    scopus 로고
    • Successive continuation for locating connecting orbits
    • E. J. Doedel, M. J. Friedman, and B. I. Kunin. Successive continuation for locating connecting orbits. Num. Alg., 17:103-124, 1997.
    • (1997) Num. Alg. , vol.17 , pp. 103-124
    • Doedel, E.J.1    Friedman, M.J.2    Kunin, B.I.3
  • 20
    • 2342460324 scopus 로고    scopus 로고
    • Continuation of periodic solution bifurcations in odes using bordered systems
    • E. J. Doedel, W. Govaerts, and Yu. A. Kuznetsov. Continuation of periodic solution bifurcations in odes using bordered systems. SIAM J. Numer. Analysis, 42(2):401-435, 2003.
    • (2003) SIAM J. Numer. Analysis , vol.42 , Issue.2 , pp. 401-435
    • Doedel, E.J.1    Govaerts, W.2    Kuznetsov, Yu.A.3
  • 21
    • 0000378934 scopus 로고
    • Numerical analysis and control of bifurcation problems (II): Bifurcations in infinite dimensions
    • E. J. Doedel, H. B. Keller, and J. P. Kernevez. Numerical analysis and control of bifurcation problems (II): bifurcations in infinite dimensions. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 1(4):745-772, 1991.
    • (1991) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.1 , Issue.4 , pp. 745-772
    • Doedel, E.J.1    Keller, H.B.2    Kernevez, J.P.3
  • 22
    • 0000757329 scopus 로고
    • A numerical technique for bifurcation problems in delay differential equations
    • Proc. 11th Manitoba Conf. Num. Math. Comput., Univ. Manitoba, Winnipeg, Canada
    • E. J. Doedel and P. P. C. Leung. A numerical technique for bifurcation problems in delay differential equations. Congr. Numer., 34:225-237, 1982. (Proc. 11th Manitoba Conf. Num. Math. Comput., Univ. Manitoba, Winnipeg, Canada).
    • (1982) Congr. Numer. , vol.34 , pp. 225-237
    • Doedel, E.J.1    Leung, P.P.C.2
  • 24
    • 0036627555 scopus 로고    scopus 로고
    • Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations
    • K. Engelborghs and E. Doedel. Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations. Numer. Math., 91(4):627-648, 2002.
    • (2002) Numer. Math. , vol.91 , Issue.4 , pp. 627-648
    • Engelborghs, K.1    Doedel, E.2
  • 25
    • 0034770393 scopus 로고    scopus 로고
    • Collocation methods for the computation of periodic solutions of delay differential equations
    • K. Engelborghs, T. Luzyanina, K. J. in 't Hout, and D. Roose. Collocation methods for the computation of periodic solutions of delay differential equations. SIAM J. Sci. Comput., 22(5):1593-1609, 2000.
    • (2000) SIAM J. Sci. Comput. , vol.22 , Issue.5 , pp. 1593-1609
    • Engelborghs, K.1    Luzyanina, T.2    In 'T Hout, K.J.3    Roose, D.4
  • 26
    • 0039483059 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of delay differential equations using DDE-Biftool
    • K. Engelborghs, T. Luzyanina, and D. Roose. Numerical bifurcation analysis of delay differential equations using DDE-Biftool. ACM Trans. Math. Software, 28(1):1-21, 2002.
    • (2002) ACM Trans. Math. Software , vol.28 , Issue.1 , pp. 1-21
    • Engelborghs, K.1    Luzyanina, T.2    Roose, D.3
  • 28
    • 0038016911 scopus 로고    scopus 로고
    • On stability of LMS methods and characteristic roots of delay differential equations
    • K. Engelborghs and D. Roose. On stability of LMS methods and characteristic roots of delay differential equations. SIAM J. Numer. Analysis, 40(2):629-650, 2002.
    • (2002) SIAM J. Numer. Analysis , vol.40 , Issue.2 , pp. 629-650
    • Engelborghs, K.1    Roose, D.2
  • 30
    • 34547957767 scopus 로고    scopus 로고
    • Bifurcation analysis of a semiconductor laser with filtered optical feedback
    • H. Erzgraber, B. Krauskopf, and D. Lenstra. Bifurcation analysis of a semiconductor laser with filtered optical feedback. SIAM J. Appl. Dyn. Sys., 6(1):1-28, 2007.
    • (2007) SIAM J. Appl. Dyn. Sys. , vol.6 , Issue.1 , pp. 1-28
    • Erzgraber, H.1    Krauskopf, B.2    Lenstra, D.3
  • 31
    • 0040843214 scopus 로고
    • Bordered augmented linear systems in numerical continuation and bifurcation
    • W. Govaerts. Bordered augmented linear systems in numerical continuation and bifurcation. Numer. Math., 58:353-368, 1990.
    • (1990) Numer. Math. , vol.58 , pp. 353-368
    • Govaerts, W.1
  • 32
    • 0042470959 scopus 로고
    • Mixed block elimination for linear systems with wider borders
    • W. Govaerts and J. D. Pryce. Mixed block elimination for linear systems with wider borders. IMA J. of Numer. Analysis, 13:161-180, 1993.
    • (1993) IMA J. of Numer. Analysis , vol.13 , pp. 161-180
    • Govaerts, W.1    Pryce, J.D.2
  • 33
    • 0036888252 scopus 로고    scopus 로고
    • Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback
    • K. Green, B. Krauskopf, and K. Engelborghs. Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback. Physica D, 173(1-2):114-129, 2002.
    • (2002) Physica D , vol.173 , Issue.1-2 , pp. 114-129
    • Green, K.1    Krauskopf, B.2    Engelborghs, K.3
  • 34
    • 2942567779 scopus 로고    scopus 로고
    • One-dimensional unstable eigenfunction and manifold computations in delay differential equations
    • K. Green, B. Krauskopf, and K. Engelborghs. One-dimensional unstable eigenfunction and manifold computations in delay differential equations. J. Comp. Phys., 197(1):86-98, 2004.
    • (2004) J. Comp. Phys. , vol.197 , Issue.1 , pp. 86-98
    • Green, K.1    Krauskopf, B.2    Engelborghs, K.3
  • 35
    • 0347461231 scopus 로고    scopus 로고
    • A two-parameter study of the locking region of a semiconductor laser subject to phase-conjugate feedback
    • K. Green, B. Krauskopf, and G. Samaey. A two-parameter study of the locking region of a semiconductor laser subject to phase-conjugate feedback. SIAM J. Appl. Dyn. Sys., 2(2):254-276, 2003.
    • (2003) SIAM J. Appl. Dyn. Sys. , vol.2 , Issue.2 , pp. 254-276
    • Green, K.1    Krauskopf, B.2    Samaey, G.3
  • 36
    • 0034891830 scopus 로고    scopus 로고
    • Implementing Radau IIA methods for stiff delay differential equations
    • N. Guglielmi and E. Hairer. Implementing Radau IIA methods for stiff delay differential equations. Computing, 67:1-12, 2001
    • (2001) Computing , vol.67 , pp. 1-12
    • Guglielmi, N.1    Hairer, E.2
  • 37
    • 41349099787 scopus 로고    scopus 로고
    • Stability and rupture of bifurcation bridges in semiconductor lasers subject to optical feedback
    • 1-11
    • B. Haegeman, K. Engelborghs, D. Roose, D. Pieroux, and T. Erneux. Stability and rupture of bifurcation bridges in semiconductor lasers subject to optical feedback. Phys. Rev. E, 66:046216 1-11, 2002.
    • (2002) Phys. Rev. E , vol.66 , pp. 046216
    • Haegeman, B.1    Engelborghs, K.2    Roose, D.3    Pieroux, D.4    Erneux, T.5
  • 39
    • 0000702457 scopus 로고
    • Onset of chaos in differential delay eqautions
    • J. K. Hale and N. Sternberg. Onset of chaos in differential delay eqautions. J. Comp. Phys., 77:221-239, 1988.
    • (1988) J. Comp. Phys. , vol.77 , pp. 221-239
    • Hale, J.K.1    Sternberg, N.2
  • 41
    • 0002650561 scopus 로고
    • Stability in a class of functional differential equations with state-dependent delay
    • C Corduneanu, editor, World Scientific, Singapore
    • F. Hartung and J. Turi. Stability in a class of functional differential equations with state-dependent delay. In C Corduneanu, editor, Qualitative problems for differential equations and control theory, pages 15-31. (World Scientific, Singapore, 1995).
    • (1995) Qualitative Problems for Differential Equations and Control Theory , pp. 15-31
    • Hartung, F.1    Turi, J.2
  • 42
    • 0000591125 scopus 로고    scopus 로고
    • On differentiability of solutions with respect to parameters in state-dependent delay equations
    • F. Hartung and J. Turi. On differentiability of solutions with respect to parameters in state-dependent delay equations. J. Diff. Eqns., 135:192-237, 1997.
    • (1997) J. Diff. Eqns. , vol.135 , pp. 192-237
    • Hartung, F.1    Turi, J.2
  • 43
    • 0010706645 scopus 로고
    • A code for Hopf bifurcation analysis of autonomous delaydifferential systems
    • F. V. Atkinson, W. F. Langford, and A. B. Mingarelli, editors, Amer. Math. Soc., Providence, RI
    • B. D. Hassard. A code for Hopf bifurcation analysis of autonomous delaydifferential systems. In F. V. Atkinson, W. F. Langford, and A. B. Mingarelli, editors, Oscillations, Bifurcations and Chaos, volume 8 of Can. Math. Soc. Conference Proceedings, pages 447-463 (Amer. Math. Soc., Providence, RI, 1987).
    • (1987) Oscillations, Bifurcations and Chaos, Volume 8 of Can. Math. Soc. Conference Proceedings , pp. 447-463
    • Hassard, B.D.1
  • 44
    • 0001114217 scopus 로고    scopus 로고
    • Counting roots of the characteristic equation for linear delaydifferential systems
    • B. D. Hassard. Counting roots of the characteristic equation for linear delaydifferential systems. J. Diff. Eqns., 136:222-235, 1997.
    • (1997) J. Diff. Eqns. , vol.136 , pp. 222-235
    • Hassard, B.D.1
  • 45
    • 0034190379 scopus 로고    scopus 로고
    • Spectral penalty methods
    • J. S. Hesthaven. Spectral penalty methods. Appl. Num. Math., 33:23-41, 2000.
    • (2000) Appl. Num. Math. , vol.33 , pp. 23-41
    • Hesthaven, J.S.1
  • 46
    • 0346338234 scopus 로고    scopus 로고
    • Periodic orbits of delay differential equations under discretization
    • K. J. in 't Hout and Ch. Lubich. Periodic orbits of delay differential equations under discretization. BIT, 38(1):72-91, 1998.
    • (1998) BIT , vol.38 , Issue.1 , pp. 72-91
    • In 'T Hout, K.J.1    Lubich, Ch.2
  • 47
    • 0037210549 scopus 로고    scopus 로고
    • Stability of up-milling and down-milling, part 1: Alternative analytical methods
    • T. Insperger, B. P. Mann, G. Stepan, and P. V. Bayly. Stability of up-milling and down-milling, part 1: alternative analytical methods. Int. J. of Mach. Tool Manuf., 43(1):25-34, 2003.
    • (2003) Int. J. of Mach. Tool Manuf. , vol.43 , Issue.1 , pp. 25-34
    • Insperger, T.1    Mann, B.P.2    Stepan, G.3    Bayly, P.V.4
  • 48
    • 84904190335 scopus 로고
    • Characteristic matrices and spectral properties of evolutionary systems
    • M. A. Kaashoek and S. M. Verduyn Lunel. Characteristic matrices and spectral properties of evolutionary systems. Trans. Amer. Math. Soc., 334:479-517, 1992.
    • (1992) Trans. Amer. Math. Soc. , vol.334 , pp. 479-517
    • Kaashoek, M.A.1    Verduyn Lunel, S.M.2
  • 50
    • 0030118562 scopus 로고    scopus 로고
    • A conservative staggered-grid chebyshev multidomain method for compressible flows
    • D. A. Kopriva and J. H. Kolias. A conservative staggered-grid chebyshev multidomain method for compressible flows. J. Comp. Phys., 125:244-261, 1996.
    • (1996) J. Comp. Phys. , vol.125 , pp. 244-261
    • Kopriva, D.A.1    Kolias, J.H.2
  • 55
    • 0001639797 scopus 로고    scopus 로고
    • An adaptive Newtonpicard algorithm with subspace iteration for computing periodic solutions
    • K. Lust, D. Roose, A. Spence, and A. R. Champneys. An adaptive Newtonpicard algorithm with subspace iteration for computing periodic solutions. SIAM J. Sci. Comput., 19(4):1188-1209, 1998.
    • (1998) SIAM J. Sci. Comput. , vol.19 , Issue.4 , pp. 1188-1209
    • Lust, K.1    Roose, D.2    Spence, A.3    Champneys, A.R.4
  • 56
    • 0036999840 scopus 로고    scopus 로고
    • Computing Floquet multipliers for functional differential equations
    • T. Luzyanina and K. Engelborghs. Computing Floquet multipliers for functional differential equations. Internat. J. Bif. Chaos Appl. Sci. Engrg., 12(12):2977-2989, 2002.
    • (2002) Internat. J. Bif. Chaos Appl. Sci. Engrg. , vol.12 , Issue.12 , pp. 2977-2989
    • Luzyanina, T.1    Engelborghs, K.2
  • 57
    • 0035632530 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of differential equations with state-dependent delay
    • T. Luzyanina, K. Engelborghs, and D. Roose. Numerical bifurcation analysis of differential equations with state-dependent delay. Internat. J. Bif. Chaos Appl. Sci. Engrg., 11(3):737-753, 2001.
    • (2001) Internat. J. Bif. Chaos Appl. Sci. Engrg. , vol.11 , Issue.3 , pp. 737-753
    • Luzyanina, T.1    Engelborghs, K.2    Roose, D.3
  • 58
    • 0030215653 scopus 로고    scopus 로고
    • Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations
    • T. Luzyanina and D. Roose. Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations. J. Comput. Appl. Math., 72:379-392, 1996.
    • (1996) J. Comput. Appl. Math. , vol.72 , pp. 379-392
    • Luzyanina, T.1    Roose, D.2
  • 59
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control systems
    • M. C. Mackey and L. Glass. Oscillation and chaos in physiological control systems. Science, 77:287-289, 1977.
    • (1977) Science , vol.77 , pp. 287-289
    • Mackey, M.C.1    Glass, L.2
  • 60
    • 0000145206 scopus 로고
    • A differential delay equation arising in optics an physiology
    • J. Mallet-Paret and R. D. Nussbaum. A differential delay equation arising in optics an physiology. SIAM J. Math. Analysis, 20(2):249-292, 1989.
    • (1989) SIAM J. Math. Analysis , vol.20 , Issue.2 , pp. 249-292
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 61
    • 51249170529 scopus 로고
    • Boundary layer phenomena for differentialdelay equations with state-dependent time lags 1
    • J. Mallet-Paret and R. D. Nussbaum. Boundary layer phenomena for differentialdelay equations with state-dependent time lags 1. Arch. Rational Mech. Analysis, 120:99-146, 1992.
    • (1992) Arch. Rational Mech. Analysis , vol.120 , pp. 99-146
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 63
    • 33746769868 scopus 로고    scopus 로고
    • Optical frequency dynamics and relaxation oscila-tions of a semiconductor laser subject to filtered optical feedback
    • M. Pessa D. Lenstra and Ian H White, editors
    • M. Nizette and T. Erneux. Optical frequency dynamics and relaxation oscila-tions of a semiconductor laser subject to filtered optical feedback. In M. Pessa D. Lenstra and Ian H White, editors, Semiconductor Lasers and Laser Dynamics II, Proceedings of the SPIE, pages 6184-32. 2006.
    • (2006) Semiconductor Lasers and Laser Dynamics II, Proceedings of the SPIE , pp. 6184-6132
    • Nizette, M.1    Erneux, T.2
  • 64
    • 27644546832 scopus 로고    scopus 로고
    • Bifurcations and multiple traffic jams in a car following model with reaction delay time
    • G. Orosz, B. Krauskopf, and R. E. Wilson. Bifurcations and multiple traffic jams in a car following model with reaction delay time. Physica D, 211:277-293, 2005.
    • (2005) Physica D , vol.211 , pp. 277-293
    • Orosz, G.1    Krauskopf, B.2    Wilson, R.E.3
  • 65
    • 42749102192 scopus 로고    scopus 로고
    • Global bifurcation investigation of an optimal velocity traffic model with driver reaction time
    • 026207
    • G. Orosz, R. E. Wilson, and B. Krauskopf. Global bifurcation investigation of an optimal velocity traffic model with driver reaction time. Phys. Rev. E, 70(026207):1-10, 2004.
    • (2004) Phys. Rev. E , vol.70 , pp. 1-10
    • Orosz, G.1    Wilson, R.E.2    Krauskopf, B.3
  • 69
    • 0036375578 scopus 로고    scopus 로고
    • Numerical computation of connecting orbits in delay differential equations
    • G. Samaey, K. Engelborghs, and D. Roose. Numerical computation of connecting orbits in delay differential equations. Num. Algor., 30(3-4):335-352, 2002.
    • (2002) Num. Algor. , vol.30 , Issue.3-4 , pp. 335-352
    • Samaey, G.1    Engelborghs, K.2    Roose, D.3
  • 70
    • 22144432649 scopus 로고    scopus 로고
    • Determining stability of pulses for partial differential equations with time delays
    • G. Samaey and B. Sandstede. Determining stability of pulses for partial differential equations with time delays. Dyn. Sys., 20(2):201-222, 2005.
    • (2005) Dyn. Sys. , vol.20 , Issue.2 , pp. 201-222
    • Samaey, G.1    Sandstede, B.2
  • 72
    • 33644886647 scopus 로고    scopus 로고
    • Continuation of quasiperiodic invariant tori
    • F. Schilder, H. M. Osinga, and W. Vogt. Continuation of quasiperiodic invariant tori. SIAM J. Appl. Dyn. Sys., 4(3):244-261, 2005.
    • (2005) SIAM J. Appl. Dyn. Sys. , vol.4 , Issue.3 , pp. 244-261
    • Schilder, F.1    Osinga, H.M.2    Vogt, W.3
  • 73
    • 33846103882 scopus 로고    scopus 로고
    • Dynamics of delayed relay systems
    • J. Sieber. Dynamics of delayed relay systems. Nonlinearity, 19(11):2489-2527, 2006.
    • (2006) Nonlinearity , vol.19 , Issue.11 , pp. 2489-2527
    • Sieber, J.1
  • 74
    • 84892332509 scopus 로고    scopus 로고
    • Control-based bifurcation analysis for experiments
    • in press
    • J. Sieber and B. Krauskopf. Control-based bifurcation analysis for experiments. Nonlin. Dyn. in press.
    • Nonlin. Dyn.
    • Sieber, J.1    Krauskopf, B.2
  • 77
    • 12344337162 scopus 로고    scopus 로고
    • Nonlinear dynamics of high-speed milling subjected to regenerative effect
    • G. Radons and R. Neugebauer, editors, Wiley-VCH, Berlin
    • G. Stepan, R. Szalai, and T. Insperger. Nonlinear dynamics of high-speed milling subjected to regenerative effect. In G. Radons and R. Neugebauer, editors, Nonlinear Dynamics of Production Systems, pages 111-128. (Wiley-VCH, Berlin, 2004).
    • (2004) Nonlinear Dynamics of Production Systems , pp. 111-128
    • Stepan, G.1    Szalai, R.2    Insperger, T.3
  • 80
    • 34547141626 scopus 로고    scopus 로고
    • Continuation of bifurcations in periodic delay-differential equations using characteristic matrices
    • R. Szalai, G. Stepan, and S. J. Hogan. Continuation of bifurcations in periodic delay-differential equations using characteristic matrices. SIAM J. Sci. Comp., 28(4):1301-1317, 2006.
    • (2006) SIAM J. Sci. Comp. , vol.28 , Issue.4 , pp. 1301-1317
    • Szalai, R.1    Stepan, G.2    Hogan, S.J.3
  • 82
    • 37649027115 scopus 로고    scopus 로고
    • Numerical stability analysis of a large-scale delay system modeling a lateral semiconductor laser subject to optical feedback
    • K. Verheyden, K. Green, and D. Roose. Numerical stability analysis of a large-scale delay system modeling a lateral semiconductor laser subject to optical feedback. Phys. Rev. E, 69(3):036702, 2004.
    • (2004) Phys. Rev. E , vol.69 , Issue.3 , pp. 036702
    • Verheyden, K.1    Green, K.2    Roose, D.3
  • 83
    • 28144446250 scopus 로고    scopus 로고
    • A Newton-Picard collocation method for periodic solutions of delay differential equations
    • K. Verheyden and K. Lust. A Newton-Picard collocation method for periodic solutions of delay differential equations. BIT Num. Math., 45(3):1605-625, 2005.
    • (2005) BIT Num. Math. , vol.45 , Issue.3 , pp. 1605-1625
    • Verheyden, K.1    Lust, K.2
  • 85
    • 46749149965 scopus 로고    scopus 로고
    • Efficient numerical stability analysis of delay equations: A spectral method
    • D. Roose and W. Michiels, editors, Elsevier, Oxford, UK
    • K. Verheyden and D. Roose. Efficient numerical stability analysis of delay equations: a spectral method. In D. Roose and W. Michiels, editors, Time-delay systems 2004, IFAC Proceedings Volumes, pages 209-214. (Elsevier, Oxford, UK, 2005).
    • (2005) Time-delay Systems 2004, IFAC Proceedings Volumes , pp. 209-214
    • Verheyden, K.1    Roose, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.