메뉴 건너뛰기




Volumn 15, Issue 4, 2010, Pages 1048-1062

Quasi-periodic states in coupled rings of cells

Author keywords

Coupled cell networks; Hopf bifurcation; Quasi periodic motion; Relaxation oscillations

Indexed keywords

CELLS; CYTOLOGY;

EID: 70350769566     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.05.035     Document Type: Article
Times cited : (11)

References (29)
  • 2
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert R., and Barabsi A.-L. Statistical mechanics of complex networks. Rev Mod Phys 74 (2002) 47-97
    • (2002) Rev Mod Phys , vol.74 , pp. 47-97
    • Albert, R.1    Barabsi, A.-L.2
  • 3
    • 0141484562 scopus 로고    scopus 로고
    • Biological networks: the tinkerer as an engineer
    • Alon U. Biological networks: the tinkerer as an engineer. Science 301 (2003) 1866-1867
    • (2003) Science , vol.301 , pp. 1866-1867
    • Alon, U.1
  • 4
    • 57249108440 scopus 로고    scopus 로고
    • Hopf bifurcation in coupled cell networks with interior symmetries
    • Antoneli F., Dias A.P.S., and Paiva R.C. Hopf bifurcation in coupled cell networks with interior symmetries. SIAM J Appl Dyn Syst 7 (2008) 220-248
    • (2008) SIAM J Appl Dyn Syst , vol.7 , pp. 220-248
    • Antoneli, F.1    Dias, A.P.S.2    Paiva, R.C.3
  • 7
    • 33744891845 scopus 로고
    • Bubbling of attractors and synchronisation of oscillators
    • Ashwin P., Buescu J., and Stewart I. Bubbling of attractors and synchronisation of oscillators. Phys Lett A 193 (1994) 126-139
    • (1994) Phys Lett A , vol.193 , pp. 126-139
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 8
    • 39849107625 scopus 로고    scopus 로고
    • Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators
    • Ashwin P., Burylko O., and Maistrenko Y. Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators. Phys D 237 4 (2008) 454-466
    • (2008) Phys D , vol.237 , Issue.4 , pp. 454-466
    • Ashwin, P.1    Burylko, O.2    Maistrenko, Y.3
  • 10
    • 0003297685 scopus 로고
    • Relaxation oscillations including a standard chase on French ducks. Asymptotic analysis II
    • Eckhaus W. Relaxation oscillations including a standard chase on French ducks. Asymptotic analysis II, Springer lecture notes in mathmatics, vol. 985; 1983. p. 449-94.
    • (1983) Springer lecture notes in mathmatics , vol.985 , pp. 449-494
    • Eckhaus, W.1
  • 11
    • 85196220606 scopus 로고    scopus 로고
    • ®, the differential equations tool, version 5.98; 2006. Available from
    • ® - the differential equations tool, version 5.98; 2006. Available from: http://www.math.pitt.edu/~bard/xpp/xpp.html.
  • 13
    • 84868000314 scopus 로고    scopus 로고
    • Some curious phenomena in coupled cell systems
    • Golubitsky M., Nicol M., and Stewart I. Some curious phenomena in coupled cell systems. J Nonlinear Sci 14 (2004) 207-236
    • (2004) J Nonlinear Sci , vol.14 , pp. 207-236
    • Golubitsky, M.1    Nicol, M.2    Stewart, I.3
  • 14
    • 11144277461 scopus 로고    scopus 로고
    • Interior symmetry and local bifurcation in coupled cell networks
    • Golubitsky M., Pivato M., and Stewart I. Interior symmetry and local bifurcation in coupled cell networks. Dyn Syst 19 (2004) 389-407
    • (2004) Dyn Syst , vol.19 , pp. 389-407
    • Golubitsky, M.1    Pivato, M.2    Stewart, I.3
  • 15
    • 0003270066 scopus 로고
    • Singularities and groups in bifurcation theory, vol. 1
    • Springer-Verlag, New York
    • Golubitsky M., and Schaeffer D.G. Singularities and groups in bifurcation theory, vol. 1. Applied mathematical sciences 51 (1985), Springer-Verlag, New York
    • (1985) Applied mathematical sciences , vol.51
    • Golubitsky, M.1    Schaeffer, D.G.2
  • 16
    • 33744777430 scopus 로고    scopus 로고
    • Nonlinear dynamics of networks: the groupoid formalism
    • Golubitsky M., and Stewart I. Nonlinear dynamics of networks: the groupoid formalism. Bull Am Math Soc 43 (2006) 305-364
    • (2006) Bull Am Math Soc , vol.43 , pp. 305-364
    • Golubitsky, M.1    Stewart, I.2
  • 17
    • 85196146858 scopus 로고    scopus 로고
    • Birkhäuser, Basel
    • Golubitsky M., and Stewart I. The symmetry perspective: from equilibrium to chaos in phase space and physical space. Progress in mathematics 200 (2002), Birkhäuser, Basel
    • (2002) Progress in mathematics , vol.200
    • Golubitsky, M.1    Stewart, I.2
  • 19
    • 11144319940 scopus 로고    scopus 로고
    • Patterns of synchrony in coupled cell networks with multiple arrows
    • Golubitsky M., Stewart I., and Török A. Patterns of synchrony in coupled cell networks with multiple arrows. SIAM J Appl Dyn Syst 4 1 (2005) 78-100
    • (2005) SIAM J Appl Dyn Syst , vol.4 , Issue.1 , pp. 78-100
    • Golubitsky, M.1    Stewart, I.2    Török, A.3
  • 20
    • 0035839416 scopus 로고    scopus 로고
    • Relaxation oscillations and canard explosion
    • Krupa M., and Szmolyan P. Relaxation oscillations and canard explosion. J Diff Equations 174 (2001) 312-368
    • (2001) J Diff Equations , vol.174 , pp. 312-368
    • Krupa, M.1    Szmolyan, P.2
  • 21
    • 12844260210 scopus 로고    scopus 로고
    • Evolutionary dynamics on graphs
    • Lieberman E., Hauert C., and Nowak M.A. Evolutionary dynamics on graphs. Nature 433 (2005) 312-316
    • (2005) Nature , vol.433 , pp. 312-316
    • Lieberman, E.1    Hauert, C.2    Nowak, M.A.3
  • 22
    • 0037174670 scopus 로고    scopus 로고
    • Network motifs: simple building blocks of complex networks
    • Milo R., Shen-Orr S.S., Itzkovitz S., Kashtan N., and Alon U. Network motifs: simple building blocks of complex networks. Science 298 (2002) 824-827
    • (2002) Science , vol.298 , pp. 824-827
    • Milo, R.1    Shen-Orr, S.S.2    Itzkovitz, S.3    Kashtan, N.4    Alon, U.5
  • 23
    • 1342325562 scopus 로고    scopus 로고
    • Network opportunity
    • Stewart I. Network opportunity. Nature 427 (2004) 601-604
    • (2004) Nature , vol.427 , pp. 601-604
    • Stewart, I.1
  • 24
    • 3042534417 scopus 로고    scopus 로고
    • Symmetry groupoids and patterns of synchrony in coupled cell networks
    • Stewart I., Golubitsky M., and Pivato M. Symmetry groupoids and patterns of synchrony in coupled cell networks. SIAM J Appl Dyn Syst 2 4 (2003) 609-646
    • (2003) SIAM J Appl Dyn Syst , vol.2 , Issue.4 , pp. 609-646
    • Stewart, I.1    Golubitsky, M.2    Pivato, M.3
  • 25
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • Strogatz S.H. Exploring complex networks. Nature 410 (2001) 268-276
    • (2001) Nature , vol.410 , pp. 268-276
    • Strogatz, S.H.1
  • 27
    • 0036336705 scopus 로고    scopus 로고
    • Complex networks: topology, dynamics and synchronization
    • Wang X.F. Complex networks: topology, dynamics and synchronization. Int J Bifurcat Chaos 12 (2002) 885-916
    • (2002) Int J Bifurcat Chaos , vol.12 , pp. 885-916
    • Wang, X.F.1
  • 28
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts D.J., and Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 393 (1998) 440-442
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 29
    • 85196139530 scopus 로고
    • The MathWorks, Inc. MATLAB®, Available from
    • ®, 1994-2008. Available from: http://www.mathworks.com.
    • (1994)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.