메뉴 건너뛰기




Volumn 84, Issue 4, 2011, Pages

Symmetries, stability, and control in nonlinear systems and networks

Author keywords

[No Author keywords available]

Indexed keywords

CONTRACTION THEORY; CONVERGENCE ANALYSIS; CONVERGENCE PROPERTIES; EQUIVARIANCE; GENETIC NETWORKS; NETWORK MOTIF;

EID: 80054992489     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.041929     Document Type: Article
Times cited : (80)

References (58)
  • 6
    • 23144459310 scopus 로고    scopus 로고
    • Controlled symmetries and passive walking
    • DOI 10.1109/TAC.2005.851449
    • M. Spong and F. Bullo, IEEE Transactions on Automatic Control 0018-9286 10.1109/TAC.2005.851449 50, 1025 (2005). (Pubitemid 41078405)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.7 , pp. 1025-1031
    • Spong, M.W.1    Bullo, F.2
  • 7
    • 0031145153 scopus 로고    scopus 로고
    • SJCODC 0363-0129 10.1137/S0363012995290367
    • W. Koon and J. Marsden, SIAM J. Control Optim. SJCODC 0363-0129 10.1137/S0363012995290367 35, 901 (1997).
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 901
    • Koon, W.1    Marsden, J.2
  • 8
    • 33845599202 scopus 로고    scopus 로고
    • Stable concurrent synchronization in dynamic system networks
    • DOI 10.1016/j.neunet.2006.07.008, PII S0893608006001882
    • Q. C. Pham and J. J. E. Slotine, Neural Networks NNETEB 0893-6080 10.1016/j.neunet.2006.07.008 20, 62 (2007). (Pubitemid 44960626)
    • (2007) Neural Networks , vol.20 , Issue.1 , pp. 62-77
    • Pham, Q.-C.1    Slotine, J.-J.2
  • 9
    • 80054986029 scopus 로고    scopus 로고
    • L. Gerard and J. Slotine, e-print arXiv: q-bio/0612049
    • L. Gerard and J. Slotine, e-print arXiv: q-bio/0612049.
  • 11
    • 33744777430 scopus 로고    scopus 로고
    • Nonlinear dynamics of networks: The groupoid formalism
    • DOI 10.1090/S0273-0979-06-01108-6, PII S0273097906011086
    • M. Golubitsky and I. Stewart, Bulletin of the American Journal of Mathematics NNETEB 0273-0979 10.1090/S0273-0979-06-01108-6 43, 305 (2006). (Pubitemid 44002571)
    • (2006) Bulletin of the American Mathematical Society , vol.43 , Issue.3 , pp. 305-364
    • Golubitsky, M.1    Stewart, I.2
  • 14
    • 0032094219 scopus 로고    scopus 로고
    • ATCAA9 0005-1098 10.1016/S0005-1098(98)00019-3
    • W. Lohmiller and J. J. E. Slotine, Automatica ATCAA9 0005-1098 10.1016/S0005-1098(98)00019-3 34, 683 (1998).
    • (1998) Automatica , vol.34 , pp. 683
    • Lohmiller, W.1    Slotine, J.J.E.2
  • 15
    • 12344327544 scopus 로고    scopus 로고
    • On partial contraction analysis for coupled nonlinear oscillators
    • DOI 10.1007/s00422-004-0527-x
    • W. Wang and J. J. E. Slotine, Biol. Cybern. BICYAF 0340-1200 10.1007/s00422-004-0527-x 92, 38 (2005). (Pubitemid 40134701)
    • (2005) Biological Cybernetics , vol.92 , Issue.1 , pp. 38-53
    • Wang, W.1    Slotine, J.-J.E.2
  • 16
    • 0012184302 scopus 로고
    • CJMAAB 0008-414X 10.4153/CJM-1961-040-6
    • P. Hartman, Canadian J. Math. CJMAAB 0008-414X 10.4153/CJM-1961-040-6 13, 480 (1961).
    • (1961) Canadian J. Math. , vol.13 , pp. 480
    • Hartman, P.1
  • 17
    • 12244287257 scopus 로고
    • AJMAAN 0002-9327 10.2307/2372245
    • D. C. Lewis, Am. J. Math. AJMAAN 0002-9327 10.2307/2372245 71, 294 (1949).
    • (1949) Am. J. Math. , vol.71 , pp. 294
    • Lewis, D.C.1
  • 22
    • 36449004901 scopus 로고
    • CHAOEH 1054-1500 10.1063/1.165974
    • I. Epstein and M. M. Golubitsky, Chaos CHAOEH 1054-1500 10.1063/1.165974 3, 1 (1993).
    • (1993) Chaos , vol.3 , pp. 1
    • Epstein, I.1    Golubitsky, M.M.2
  • 23
    • 80055001310 scopus 로고    scopus 로고
    • M. Arcak, e-print arXiv: 0908.2614
    • M. Arcak, e-print arXiv: 0908.2614.
  • 25
    • 0003918536 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • L. H. Ryder, Quantum Field Theory, 2nd ed. (Cambridge University Press, Cambridge, 1996).
    • (1996) Quantum Field Theory
    • Ryder, L.H.1
  • 26
    • 71149099313 scopus 로고    scopus 로고
    • MOCEFL 1097-2765 10.1016/j.molcel.2009.11.018
    • L. Goentoro, O. Shoval, M. Kirschner, and U. Alon, Mol. Cell MOCEFL 1097-2765 10.1016/j.molcel.2009.11.018 36, 894 (2009).
    • (2009) Mol. Cell , vol.36 , pp. 894
    • Goentoro, L.1    Shoval, O.2    Kirschner, M.3    Alon, U.4
  • 28
    • 71149092489 scopus 로고    scopus 로고
    • MOCEFL 1097-2765 10.1016/j.molcel.2009.11.017
    • L. Goentoro and M. Kirschner, Mol. Cell MOCEFL 1097-2765 10.1016/j.molcel.2009.11.017 36, 872 (2009).
    • (2009) Mol. Cell , vol.36 , pp. 872
    • Goentoro, L.1    Kirschner, M.2
  • 31
    • 0037174670 scopus 로고    scopus 로고
    • Network motifs: Simple building blocks of complex networks
    • DOI 10.1126/science.298.5594.824
    • R. Milo, S. Shen-Orr, S. Itzkovitz, N. Kashtan, D. Chklovskii, and U. Alon, Science SCIEAS 0036-8075 10.1126/science.298.5594.824 298, 824 (2002). (Pubitemid 35231534)
    • (2002) Science , vol.298 , Issue.5594 , pp. 824-827
    • Milo, R.1    Shen-Orr, S.2    Itzkovitz, S.3    Kashtan, N.4    Chklovskii, D.5    Alon, U.6
  • 32
    • 32044462728 scopus 로고    scopus 로고
    • The incoherent feed-forward loop accelerates the response-time of the gal system of Escherichia coli
    • DOI 10.1016/j.jmb.2005.12.003, PII S0022283605015573
    • S. Mangan, S. Itzkovitz, N. Kashtan, D. Chklovskii, and U. Alon, J. Mol. Biol. JMOBAK 0022-2836 10.1016/j.jmb.2005.12.003 356, 1073 (2006). (Pubitemid 43199913)
    • (2006) Journal of Molecular Biology , vol.356 , Issue.5 , pp. 1073-1081
    • Mangan, S.1    Itzkovitz, S.2    Zaslaver, A.3    Alon, U.4
  • 33
    • 58149145777 scopus 로고    scopus 로고
    • BIOEEJ 0265-9247 10.1002/bies.20839
    • D. Kim, Y. Kwon, and K. Cho, Bioessays BIOEEJ 0265-9247 10.1002/bies.20839 30, 1204 (2008).
    • (2008) Bioessays , vol.30 , pp. 1204
    • Kim, D.1    Kwon, Y.2    Cho, K.3
  • 36
    • 80054982031 scopus 로고    scopus 로고
    • W. Lohmiller and J. Slotine, e-print arXiv: nlin/0510025
    • W. Lohmiller and J. Slotine, e-print arXiv: nlin/0510025.
  • 40
    • 42449095312 scopus 로고    scopus 로고
    • PNASA6 1370-4621 10.1007/s11063-008-9076-y
    • G. Martinelli, Neural Processing Letters PNASA6 1370-4621 10.1007/s11063-008-9076-y 27, 277 (2008).
    • (2008) Neural Processing Letters , vol.27 , pp. 277
    • Martinelli, G.1
  • 43
    • 0020118274 scopus 로고
    • PNASA6 0027-8424 10.1073/pnas.79.8.2554
    • J. Hopfield, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.79.8.2554 79, 2554 (1982).
    • (1982) Proc. Natl. Acad. Sci. USA , vol.79 , pp. 2554
    • Hopfield, J.1
  • 45
  • 46
    • 0038718854 scopus 로고    scopus 로고
    • SIREAD 0036-1445 10.1137/S003614450342480
    • M. E. Newman, SIAM Rev. SIREAD 0036-1445 10.1137/S003614450342480 45, 167 (2003).
    • (2003) SIAM Rev. , vol.45 , pp. 167
    • Newman, M.E.1
  • 47
    • 31344474880 scopus 로고    scopus 로고
    • Complex networks: Structure and dynamics
    • DOI 10.1016/j.physrep.2005.10.009, PII S037015730500462X
    • S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006). (Pubitemid 43135890)
    • (2006) Physics Reports , vol.424 , Issue.4-5 , pp. 175-308
    • Boccaletti, S.1    Latora, V.2    Moreno, Y.3    Chavez, M.4    Hwang, D.-U.5
  • 49
    • 0034770056 scopus 로고    scopus 로고
    • Quorum sensing in bacteria
    • DOI 10.1146/annurev.micro.55.1.165
    • M. Miller and B. Bassler, Annu. Rev. Microbiol. ARMIAZ 0066-4227 10.1146/annurev.micro.55.1.165 55, 165 (2001). (Pubitemid 32978104)
    • (2001) Annual Review of Microbiology , vol.55 , pp. 165-199
    • Miller, M.B.1    Bassler, B.L.2
  • 50
    • 69049102139 scopus 로고    scopus 로고
    • ARMIAZ 1475-4924 10.1186/jbiol87
    • C. Nardelli, B. Bassler, and S. Levin, J. Biol. ARMIAZ 1475-4924 10.1186/jbiol87 7, 27 (2008).
    • (2008) J. Biol. , vol.7 , pp. 27
    • Nardelli, C.1    Bassler, B.2    Levin, S.3
  • 51
    • 78651333222 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.82.041919
    • G. Russo and J. Slotine, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.041919 82, 041919 (2010).
    • (2010) Phys. Rev. e , vol.82 , pp. 041919
    • Russo, G.1    Slotine, J.2
  • 52
    • 67650448024 scopus 로고    scopus 로고
    • MOMIEE 0950-382X 10.1111/j.1365-2958.2009.06768.x
    • C. Anetzberger, T. Pirch, and K. Jung, Mol. Microbiol. MOMIEE 0950-382X 10.1111/j.1365-2958.2009.06768.x 2, 267 (2009).
    • (2009) Mol. Microbiol. , vol.2 , pp. 267
    • Anetzberger, C.1    Pirch, T.2    Jung, K.3
  • 54
    • 76749128055 scopus 로고    scopus 로고
    • MOMIEE 1553-734X 10.1371/journal.pcbi.1000637
    • N. Tabareau, J. Slotine, and Q. Pham, PLoS Comput. Bio. MOMIEE 1553-734X 10.1371/journal.pcbi.1000637 6, e1000637 (2010).
    • (2010) PLoS Comput. Bio. , vol.6 , pp. 1000637
    • Tabareau, N.1    Slotine, J.2    Pham, Q.3
  • 55
    • 77955114279 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1194036
    • S. Tyagu, Science SCIEAS 0036-8075 10.1126/science.1194036 329, 518 (2010).
    • (2010) Science , vol.329 , pp. 518
    • Tyagu, S.1
  • 56
    • 53249092269 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/j.physd.2008.04.015
    • G. Katriel, Physica D PDNPDT 0167-2789 10.1016/j.physd.2008.04.015 237, 2933 (2008).
    • (2008) Physica D , vol.237 , pp. 2933
    • Katriel, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.