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Volumn 13, Issue 1, 2003, Pages 247-258

A geometric theory of chaotic phase synchronization

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EID: 0037358812     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1505812     Document Type: Article
Times cited : (18)

References (34)
  • 2
    • 0002085401 scopus 로고
    • Phase synchronization of chaotic oscillations by a periodic external fields
    • A. Pikovsky, "Phase synchronization of chaotic oscillations by a periodic external fields," Sov. J. Commun. Technol. Electron. 30, 85-90 (1985).
    • (1985) Sov. J. Commun. Technol. Electron. , vol.30 , pp. 85-90
    • Pikovsky, A.1
  • 3
    • 0000196681 scopus 로고
    • Frequency entrainment of a phase coherent attractor
    • E. Stone, "Frequency entrainment of a phase coherent attractor," Phys. Lett. A 163, 47-50 (1992).
    • (1992) Phys. Lett. A , vol.163 , pp. 47-50
    • Stone, E.1
  • 4
    • 17444382843 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillators by external driving
    • A. Pikovsky, M. Rosenblum, G. Osipov, and J. Kurths, "Phase synchronization of chaotic oscillators by external driving," Physica D 104, 219-238 (1997).
    • (1997) Physica D , vol.104 , pp. 219-238
    • Pikovsky, A.1    Rosenblum, M.2    Osipov, G.3    Kurths, J.4
  • 6
    • 0032417622 scopus 로고    scopus 로고
    • Experimentally determined chaotic phase synchronization in a neuronal system
    • V. Makarenko and R. Llinás, "Experimentally determined chaotic phase synchronization in a neuronal system," Proc. Natl. Acad. Sci. U.S.A. 95, 15474-15752 (1998).
    • (1998) Proc. Natl. Acad. Sci. U.S.A. , vol.95 , pp. 15474-15752
    • Makarenko, V.1    Llinás, R.2
  • 11
    • 0000376090 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillations in terms of periodic orbits
    • A. Pikovsky. M. Zaks, M. Rosenblum, G. Osipov, and J. Kurths, "Phase synchronization of chaotic oscillations in terms of periodic orbits," Chaos 7, 680-687 (1997).
    • (1997) Chaos , vol.7 , pp. 680-687
    • Pikovsky, A.1    Zaks, M.2    Rosenblum, M.3    Osipov, G.4    Kurths, J.5
  • 12
    • 0242682586 scopus 로고    scopus 로고
    • Sporadically fractal basin boundaries of chaotic systems
    • B. R. Hunt, E. Ott, and E. Rosa, Jr., "Sporadically fractal basin boundaries of chaotic systems," Phys. Rev. Lett. 82, 3597-3600 (1999).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 3597-3600
    • Hunt, B.R.1    Ott, E.2    Rosa E., Jr.3
  • 13
    • 0000326025 scopus 로고    scopus 로고
    • Transition to phase synchronization of chaos
    • E. Rosa, E. Ott, and M. H. Hess, "Transition to phase synchronization of chaos," Phys. Rev. Lett. 80, 1642-1645 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1642-1645
    • Rosa, E.1    Ott, E.2    Hess, M.H.3
  • 15
    • 0025388272 scopus 로고
    • Oscillator death in systems of coupled neural oscillators
    • G. B. Ermentrout and N. Kopell, "Oscillator death in systems of coupled neural oscillators," SIAM J. Appl. Math. 50, 125-146 (1990).
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 125-146
    • Ermentrout, G.B.1    Kopell, N.2
  • 18
    • 0001181793 scopus 로고
    • Spectral broadening of period-doubling bifurcation sequences
    • D. Farmer, "Spectral broadening of period-doubling bifurcation sequences," Phys. Rev. Lett. 47. 179-182 (1981).
    • (1981) Phys. Rev. Lett. , vol.47 , pp. 179-182
    • Farmer, D.1
  • 19
    • 0035510512 scopus 로고    scopus 로고
    • Phase synchronization of chaotic systems with small phase diffusion
    • K. Josić and D. J. Mar, "Phase synchronization of chaotic systems with small phase diffusion," Phys. Rev. E 64, 056234 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 056234
    • Josić, K.1    Mar, D.J.2
  • 20
    • 0003411523 scopus 로고
    • (Springer-Verlag, New York) (translated from Russian by A. B. Sosinskǐ)
    • I. P. Cornfeld. S. V. Fomin, and Ya. G. Sinaǐ, Ergodic Theory (Springer-Verlag, New York, 1982) (translated from Russian by A. B. Sosinskǐ).
    • (1982) Ergodic Theory
    • Cornfeld, I.P.1    Fomin, S.V.2    Sinaǐ, Ya.G.3
  • 21
    • 84958266331 scopus 로고    scopus 로고
    • Strictly speaking we are considering the lift of φ to the line
    • Strictly speaking we are considering the lift of φ to the line.
  • 22
    • 0002283776 scopus 로고
    • Central limit theorem for deterministic systems
    • Montevideo. Longman, Harlow
    • C. Liverani, "Central limit theorem for deterministic systems," in International Conference on Dynamical Systems, Montevideo. 1995 (Longman, Harlow, 1996), pp. 56-75.
    • (1995) International Conference on Dynamical Systems , pp. 56-75
    • Liverani, C.1
  • 23
    • 0003257107 scopus 로고    scopus 로고
    • Stochastic dynamics of deterministic systems
    • IMPA, Rio de Janeiro
    • M. Viana, Stochastic Dynamics of Deterministic Systems, Lecture Notes XXI Braz. Math. Colloq. IMPA, Rio de Janeiro, 1997.
    • (1997) Lecture Notes XXI Braz. Math. Colloq.
    • Viana, M.1
  • 24
    • 0001209878 scopus 로고    scopus 로고
    • Developments in chaotic dynamics
    • L.-S. Young, "Developments in chaotic dynamics," Not. Am. Math. Soc. 45, 1318-1328 (1998).
    • (1998) Not. Am. Math. Soc. , vol.45 , pp. 1318-1328
    • Young, L.-S.1
  • 27
    • 0035275705 scopus 로고    scopus 로고
    • Phase signal coupling induced n:m phase synchronization in drive-response oscillators
    • J. Y. Chen, K. W. Wong, H. Y. Zheng, and J. W. Shuai, "Phase signal coupling induced n:m phase synchronization in drive-response oscillators," Phys. Rev. E 63, 036214 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 036214
    • Chen, J.Y.1    Wong, K.W.2    Zheng, H.Y.3    Shuai, J.W.4
  • 28
    • 0012991938 scopus 로고
    • Averaging in dynamical systems and large deviations
    • Y. Kifer, "Averaging in dynamical systems and large deviations," Invent. Math. 110, 337-370 (1992).
    • (1992) Invent. Math. , vol.110 , pp. 337-370
    • Kifer, Y.1
  • 29
    • 84976088163 scopus 로고
    • Limit theorems in averaging for dynamical systems
    • Y. Kifer, "Limit theorems in averaging for dynamical systems," Ergod. Theory Dyn. Syst. 15, 1143-1172 (1995).
    • (1995) Ergod. Theory Dyn. Syst. , vol.15 , pp. 1143-1172
    • Kifer, Y.1
  • 31
    • 84995286273 scopus 로고    scopus 로고
    • An example of such a system can be found at http://math.bu.edu/people/ josic/research/research.html.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.