메뉴 건너뛰기




Volumn 15, Issue 3, 2000, Pages 263-286

Isochronicity-induced bifurcations in systems of weakly dissipative coupled oscillators

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; SYSTEMS ANALYSIS;

EID: 0034271535     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: 10.1080/713603745     Document Type: Article
Times cited : (7)

References (14)
  • 1
    • 45149139481 scopus 로고
    • Amplitude response of coupled oscillators
    • Aronson, D. G., Ermentrout, G. B., and Kopell, N., 1990, Amplitude response of coupled oscillators. Physica D, 41: 403-449.
    • (1990) Physica D , vol.41 , pp. 403-449
    • Aronson, D.G.1    Ermentrout, G.B.2    Kopell, N.3
  • 2
    • 36149029716 scopus 로고
    • Three identical coupled oscillators with symmetry
    • Ashwin, P., King, G. P., and Swift, J. W., 1990, Three identical coupled oscillators with symmetry. Nonlinearity, 4: 585-603.
    • (1990) Nonlinearity , vol.4 , pp. 585-603
    • Ashwin, P.1    King, G.P.2    Swift, J.W.3
  • 3
    • 0029505107 scopus 로고
    • Weak coupling of strongly nonlinear, weakly dissipative identical oscillators
    • Ashwin, P., 1995, Weak coupling of strongly nonlinear, weakly dissipative identical oscillators. Dynamics and Stability of Systems, 10: 203-216.
    • (1995) Dynamics and Stability of Systems , vol.10 , pp. 203-216
    • Ashwin, P.1
  • 5
    • 0026204379 scopus 로고
    • Averaging methods for the phase shift of arbitrarily perturbed strongly nonlinear oscillators with an application to capture
    • Bourland, F. J., Haberman, R., and Kath, W. L., 1991, Averaging methods for the phase shift of arbitrarily perturbed strongly nonlinear oscillators with an application to capture. SIAM Journal of Applied Mathematics, 51: 1150-1167.
    • (1991) SIAM Journal of Applied Mathematics , vol.51 , pp. 1150-1167
    • Bourland, F.J.1    Haberman, R.2    Kath, W.L.3
  • 6
    • 0011313658 scopus 로고
    • On diffusively coupled oscillators
    • E. Allgower, K. Böhmer, and M. Golubitsky, eds. (Basel: Birkhäiser)
    • Dangelmayr, G., and Kirby, M., 1992, On diffusively coupled oscillators. Bifurcation and Symmetry, Marburg 1991, Vol. 104 of ISNM, E. Allgower, K. Böhmer, and M. Golubitsky, eds. (Basel: Birkhäiser), pp. 85-97.
    • (1992) Bifurcation and Symmetry, Marburg 1991, Vol. 104 of ISNM , vol.104 , pp. 85-97
    • Dangelmayr, G.1    Kirby, M.2
  • 8
    • 0003299035 scopus 로고    scopus 로고
    • Weakly Connected Neural Networks
    • New York: Springer
    • Hoppensteadt, F. C., and Izhikevich, E. M., 1997, Weakly Connected Neural Networks. Appl. Math. Sci., 126 (New York: Springer).
    • (1997) Appl. Math. Sci. , vol.126
    • Hoppensteadt, F.C.1    Izhikevich, E.M.2
  • 9
    • 0023422341 scopus 로고
    • Perturbation techniques for oscillatory systems with slowly varying coefficients
    • Kevorkian, J., 1987, Perturbation techniques for oscillatory systems with slowly varying coefficients. SIAM Review, 29: 391-461.
    • (1987) SIAM Review , vol.29 , pp. 391-461
    • Kevorkian, J.1
  • 10
    • 0003244685 scopus 로고
    • Perturbation Methods in Applied Mathematics
    • New York: Springer
    • Kevorkian, J., and Cole, J. D., 1981, Perturbation Methods in Applied Mathematics, Appl. Math. Sci., 34 (New York: Springer).
    • (1981) Appl. Math. Sci. , vol.34
    • Kevorkian, J.1    Cole, J.D.2
  • 12
    • 0000557030 scopus 로고
    • A perturbation method for nonlinear dispersive wave problems
    • Luke, J. C., 1965, A perturbation method for nonlinear dispersive wave problems. Proceedings of the Royal Society London A, 292: 403-412.
    • (1965) Proceedings of the Royal Society London A , vol.292 , pp. 403-412
    • Luke, J.C.1
  • 13
    • 0009287703 scopus 로고
    • Qualitative theory of nonlinear resonance by averaging and dynamical systems methods
    • Chichester: Wiley
    • Murdock, J., 1988, Qualitative theory of nonlinear resonance by averaging and dynamical systems methods. Dynamics Reported, Vol. 1 (Chichester: Wiley), pp. 91-172.
    • (1988) Dynamics Reported , vol.1 , pp. 91-172
    • Murdock, J.1
  • 14
    • 0003229603 scopus 로고
    • Averaging Methods in Nonlinear Dynamical Systems
    • New York: Springer
    • Sanders, J. A., and Verhulst, F., 1985, Averaging Methods in Nonlinear Dynamical Systems, Appl. Math. Sci. 59 (New York: Springer).
    • (1985) Appl. Math. Sci. , vol.59
    • Sanders, J.A.1    Verhulst, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.