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Volumn 13, Issue 4, 1998, Pages 305-318

Rotating waves in rings of coupled oscillators

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COUPLINGS; NONLINEAR EQUATIONS; PHASE SHIFT; ROTATION; STABILITY; WAVE TRANSMISSION;

EID: 0032307965     PISSN: 02681110     EISSN: None     Source Type: Journal    
DOI: 10.1080/02681119808806267     Document Type: Article
Times cited : (13)

References (12)
  • 2
    • 34249831818 scopus 로고
    • The dynamics of N weakly coupled identical oscillators
    • Ashwin, P. and Swift, J. W. (1992) The dynamics of N weakly coupled identical oscillators. Journal of Nonlinear Science 2(1), 69.
    • (1992) Journal of Nonlinear Science , vol.2 , Issue.1 , pp. 69
    • Ashwin, P.1    Swift, J.W.2
  • 3
    • 0028166567 scopus 로고
    • A group-theoretic approach to rings of coupled biological oscillators
    • Collins, J. J. and Stewart, I. (1994) A group-theoretic approach to rings of coupled biological oscillators. Biological Cybernetics 71, 95.
    • (1994) Biological Cybernetics , vol.71 , pp. 95
    • Collins, J.J.1    Stewart, I.2
  • 4
  • 5
    • 0002259495 scopus 로고
    • Hopf bifurcation with dihedral group symmetry: Coupled nonlinear oscillators
    • Multiparameter Bifurcation Theory
    • Golubitsky, M. and Stewart, I. N. (1986) Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators. Multiparameter Bifurcation Theory, Contemporary Mathematics 56, p. 131.
    • (1986) Contemporary Mathematics , vol.56 , pp. 131
    • Golubitsky, M.1    Stewart, I.N.2
  • 6
    • 0003270066 scopus 로고
    • Singularities and Groups in Bifurcation Theory
    • Springer-Verlag, Berlin
    • Golubitsky, M., Stewart, I. and Schaeffer, D. (1988) Singularities and Groups in Bifurcation Theory, Vol. II, Applied Mathematical Sciences 69 (Springer-Verlag, Berlin).
    • (1988) Applied Mathematical Sciences , vol.2-69
    • Golubitsky, M.1    Stewart, I.2    Schaeffer, D.3
  • 7
    • 0018647079 scopus 로고
    • Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology
    • Grasman, J. and Jansen, M. J. W. (1979) Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology. Journal of Mathematical Biology 1, 171.
    • (1979) Journal of Mathematical Biology , vol.1 , pp. 171
    • Grasman, J.1    Jansen, M.J.W.2
  • 8
    • 0003235528 scopus 로고
    • Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
    • (Springer-Verlag, Berlin). Corrected third printing
    • Guckenheimer, J. and Holmes, P. (1990) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Applied Mathematical Sciences 42 (Springer-Verlag, Berlin). (Corrected third printing.)
    • (1990) Applied Mathematical Sciences , vol.42
    • Guckenheimer, J.1    Holmes, P.2
  • 9
    • 0043247670 scopus 로고
    • Unidirectional waves on rings: Models for chiral preference of circumnutating plants
    • Lubkin, S. (1994) Unidirectional waves on rings: models for chiral preference of circumnutating plants. Bulletin of Mathematical Biology 56(5), 795.
    • (1994) Bulletin of Mathematical Biology , vol.56 , Issue.5 , pp. 795
    • Lubkin, S.1
  • 10
    • 84975646281 scopus 로고
    • Stability results for in-phase and splay-phase states of solid-state laser arrays
    • Silber, M., Fabiny, L. and Wiesenfeld, K. (1993) Stability results for in-phase and splay-phase states of solid-state laser arrays. Journal of the Optical Society of America B 10(6), 1121.
    • (1993) Journal of the Optical Society of America B , vol.10 , Issue.6 , pp. 1121
    • Silber, M.1    Fabiny, L.2    Wiesenfeld, K.3
  • 12
    • 0001423908 scopus 로고
    • Introduction to Applied Nonlinear Dynamical Systems and Chaos
    • Springer-Verlag Texts Springer-Verlag, Berlin
    • Wiggins, S. (1990) Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag Texts in Applied Mathematics 2 (Springer-Verlag, Berlin).
    • (1990) Applied Mathematics , vol.2
    • Wiggins, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.