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Volumn 17, Issue 4, 2007, Pages

Frequency dependence of phase-synchronization time in nonlinear dynamical systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 37649015920     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2802544     Document Type: Article
Times cited : (6)

References (41)
  • 1
    • 0000012386 scopus 로고
    • Stochastic phase synchronization as a nonlinear effect was first studied by Shulgin and co-workers [B. Shulgin, A. Neiman, and V. Anishchenko, Phys. Rev. Lett. 75, 4157 (1995)], where electronic simulations by a Schmitt trigger were performed.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 4157
    • Shulgin, B.1    Neiman, A.2    Anishchenko, V.3
  • 4
    • 0034300367 scopus 로고    scopus 로고
    • 0167-2789 10.1016/S0167-2789(00)00087-7
    • F. Mormann, K. Lehnertz, P. David, and C. E. Elger, Physica D 0167-2789 10.1016/S0167-2789(00)00087-7 144, 358 (2000); F. Mormann, R. G. Andrzejak, T. Kreuz, C. Rieke, P. David, C. E. Elger, and K. Lehnertz, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.021912 67, 021912 (2003); F. Mormann, T. Kreuz, R. G. Andrzejak, P. David, K. Lehnertz, and C. E. Elger, Epilepsy Res. 53, 173 (2003).
    • (2000) Physica D , vol.144 , pp. 358
    • Mormann, F.1    Lehnertz, K.2    David, P.3    Elger, C.E.4
  • 5
    • 0012919544 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.67.021912
    • F. Mormann, K. Lehnertz, P. David, and C. E. Elger, Physica D 0167-2789 10.1016/S0167-2789(00)00087-7 144, 358 (2000); F. Mormann, R. G. Andrzejak, T. Kreuz, C. Rieke, P. David, C. E. Elger, and K. Lehnertz, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.021912 67, 021912 (2003); F. Mormann, T. Kreuz, R. G. Andrzejak, P. David, K. Lehnertz, and C. E. Elger, Epilepsy Res. 53, 173 (2003).
    • (2003) Phys. Rev. e , vol.67 , pp. 021912
    • Mormann, F.1    Andrzejak, R.G.2    Kreuz, T.3    Rieke, C.4    David, P.5    Elger, C.E.6    Lehnertz, K.7
  • 6
    • 0037359431 scopus 로고    scopus 로고
    • F. Mormann, K. Lehnertz, P. David, and C. E. Elger, Physica D 0167-2789 10.1016/S0167-2789(00)00087-7 144, 358 (2000); F. Mormann, R. G. Andrzejak, T. Kreuz, C. Rieke, P. David, C. E. Elger, and K. Lehnertz, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.021912 67, 021912 (2003); F. Mormann, T. Kreuz, R. G. Andrzejak, P. David, K. Lehnertz, and C. E. Elger, Epilepsy Res. 53, 173 (2003).
    • (2003) Epilepsy Res. , vol.53 , pp. 173
    • Mormann, F.1    Kreuz, T.2    Andrzejak, R.G.3    David, P.4    Lehnertz, K.5    Elger, C.E.6
  • 8
    • 0035939319 scopus 로고    scopus 로고
    • 0031-9007 10.1103/PhysRevLett.87.044101
    • D. J. DeShazer, R. Breban, E. Ott, and R. Roy, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.87.044101 87, 044101 (2001); W.-S. Lam, P. N. Guzdar, and R. Roy, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.025604 67, 025604 (R) (2003); D. J. DeShazer, R. Breban, E. Ott, and R. Roy, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, 3205 (2004).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 044101
    • Deshazer, D.J.1    Breban, R.2    Ott, E.3    Roy, R.4
  • 9
    • 17644437429 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.67.025604
    • D. J. DeShazer, R. Breban, E. Ott, and R. Roy, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.87.044101 87, 044101 (2001); W.-S. Lam, P. N. Guzdar, and R. Roy, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.025604 67, 025604 (R) (2003); D. J. DeShazer, R. Breban, E. Ott, and R. Roy, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, 3205 (2004).
    • (2003) Phys. Rev. e , vol.67 , pp. 025604
    • Lam, W.-S.1    Guzdar, P.N.2    Roy, R.3
  • 10
    • 10444231141 scopus 로고    scopus 로고
    • D. J. DeShazer, R. Breban, E. Ott, and R. Roy, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.87.044101 87, 044101 (2001); W.-S. Lam, P. N. Guzdar, and R. Roy, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.025604 67, 025604 (R) (2003); D. J. DeShazer, R. Breban, E. Ott, and R. Roy, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, 3205 (2004).
    • (2004) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.14 , pp. 3205
    • Deshazer, D.J.1    Breban, R.2    Ott, E.3    Roy, R.4
  • 12
    • 18844376064 scopus 로고    scopus 로고
    • 0295-5075 10.1209/epl/i2005-10021-7
    • K. Park and Y.-C. Lai, Europhys. Lett. 0295-5075 10.1209/epl/i2005-10021- 7 70, 432 (2005); Y.-C. Lai and K. Park, Math. Biosci. Eng. 3, 583 (2006).
    • (2005) Europhys. Lett. , vol.70 , pp. 432
    • Park, K.1    Lai, Y.-C.2
  • 13
    • 33846979452 scopus 로고    scopus 로고
    • K. Park and Y.-C. Lai, Europhys. Lett. 0295-5075 10.1209/epl/i2005-10021- 7 70, 432 (2005); Y.-C. Lai and K. Park, Math. Biosci. Eng. 3, 583 (2006).
    • (2006) Math. Biosci. Eng. , vol.3 , pp. 583
    • Lai, Y.-C.1    Park, K.2
  • 15
    • 0347682143 scopus 로고    scopus 로고
    • J. Casado-Pascual, J. Gómez-Ordóez, M. Morillo, J. Lehmann, I. Goychuk, and P. Hänngi, Phys. Rev. E 1063-651X 10.1103/PhysRevE.71. 011101 71, 011101 (2005); J. Casado-Pascual, J. Gómez-Ordóez, M. Morillo, and P. Hänngi, Phys. Rev. Lett. 91, 210601 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 210601
    • Casado-Pascual, J.1    Gómez-Ordóez, J.2    Morillo, M.3    Hänngi, P.4
  • 17
    • 0028897281 scopus 로고
    • 0028-0836 10.1038/373033a0
    • K. Wiesenfeld and F. Moss, Nature (London) 0028-0836 10.1038/373033a0 373, 33 (1995); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.70.223 70, 223 (1998); B. Lindner, J. Garcia-Ojalvo, A. Neiman, L. Schimansky-Geier, Phys. Rep. 392, 321 (2004).
    • (1995) Nature (London) , vol.373 , pp. 33
    • Wiesenfeld, K.1    Moss, F.2
  • 18
    • 0039065101 scopus 로고    scopus 로고
    • 0034-6861 10.1103/RevModPhys.70.223
    • K. Wiesenfeld and F. Moss, Nature (London) 0028-0836 10.1038/373033a0 373, 33 (1995); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.70.223 70, 223 (1998); B. Lindner, J. Garcia-Ojalvo, A. Neiman, L. Schimansky-Geier, Phys. Rep. 392, 321 (2004).
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 223
    • Gammaitoni, L.1    Hänggi, P.2    Jung, P.3    Marchesoni, F.4
  • 19
    • 1142283165 scopus 로고    scopus 로고
    • K. Wiesenfeld and F. Moss, Nature (London) 0028-0836 10.1038/373033a0 373, 33 (1995); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.70.223 70, 223 (1998); B. Lindner, J. Garcia-Ojalvo, A. Neiman, L. Schimansky-Geier, Phys. Rep. 392, 321 (2004).
    • (2004) Phys. Rep. , vol.392 , pp. 321
    • Lindner, B.1    Garcia-Ojalvo, J.2    Neiman, A.3    Schimansky-Geier, L.4
  • 20
    • 0042078363 scopus 로고    scopus 로고
    • 0375-9601 10.1016/S0375-9601(98)00719-1
    • F. Marchesoni, F. Apostolico, and S. Santucci, Phys. Lett. A 0375-9601 10.1016/S0375-9601(98)00719-1 248, 332 (1998); A. Neiman, A. Silchenko, V. Anishchenko, and L. Schimansky-Geier, Phys. Rev. E 1063-651X 10.1103/PhysRevE.58.7118 58, 7118 (1998); L. Callenbach, P. Hänggi, S. J. Linz, J. A. Freund, and L. Schimansky-Geier, Phys. Rev. E 1063-651X 10.1103/PhysRevE.65.051110 65, 051110 (2002); J. A. Freund, L. Schimansky-Geier, and P. Hänggi, Chaos 13, 225 (2003).
    • (1998) Phys. Lett. A , vol.248 , pp. 332
    • Marchesoni, F.1    Apostolico, F.2    Santucci, S.3
  • 21
    • 0001558718 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.58.7118
    • F. Marchesoni, F. Apostolico, and S. Santucci, Phys. Lett. A 0375-9601 10.1016/S0375-9601(98)00719-1 248, 332 (1998); A. Neiman, A. Silchenko, V. Anishchenko, and L. Schimansky-Geier, Phys. Rev. E 1063-651X 10.1103/PhysRevE.58.7118 58, 7118 (1998); L. Callenbach, P. Hänggi, S. J. Linz, J. A. Freund, and L. Schimansky-Geier, Phys. Rev. E 1063-651X 10.1103/PhysRevE.65.051110 65, 051110 (2002); J. A. Freund, L. Schimansky-Geier, and P. Hänggi, Chaos 13, 225 (2003).
    • (1998) Phys. Rev. e , vol.58 , pp. 7118
    • Neiman, A.1    Silchenko, A.2    Anishchenko, V.3    Schimansky-Geier, L.4
  • 22
    • 41349107337 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.65.051110
    • F. Marchesoni, F. Apostolico, and S. Santucci, Phys. Lett. A 0375-9601 10.1016/S0375-9601(98)00719-1 248, 332 (1998); A. Neiman, A. Silchenko, V. Anishchenko, and L. Schimansky-Geier, Phys. Rev. E 1063-651X 10.1103/PhysRevE.58.7118 58, 7118 (1998); L. Callenbach, P. Hänggi, S. J. Linz, J. A. Freund, and L. Schimansky-Geier, Phys. Rev. E 1063-651X 10.1103/PhysRevE.65.051110 65, 051110 (2002); J. A. Freund, L. Schimansky-Geier, and P. Hänggi, Chaos 13, 225 (2003).
    • (2002) Phys. Rev. e , vol.65 , pp. 051110
    • Callenbach, L.1    Hänggi, P.2    Linz, S.J.3    Freund, J.A.4    Schimansky-Geier, L.5
  • 23
    • 0037357451 scopus 로고    scopus 로고
    • F. Marchesoni, F. Apostolico, and S. Santucci, Phys. Lett. A 0375-9601 10.1016/S0375-9601(98)00719-1 248, 332 (1998); A. Neiman, A. Silchenko, V. Anishchenko, and L. Schimansky-Geier, Phys. Rev. E 1063-651X 10.1103/PhysRevE.58.7118 58, 7118 (1998); L. Callenbach, P. Hänggi, S. J. Linz, J. A. Freund, and L. Schimansky-Geier, Phys. Rev. E 1063-651X 10.1103/PhysRevE.65.051110 65, 051110 (2002); J. A. Freund, L. Schimansky-Geier, and P. Hänggi, Chaos 13, 225 (2003).
    • (2003) Chaos , vol.13 , pp. 225
    • Freund, J.A.1    Schimansky-Geier, L.2    Hänggi, P.3
  • 24
    • 0003997077 scopus 로고    scopus 로고
    • edited by P.Imkeller and J.von Storch, in Progress in Probability Vol. Birkhäuser, Boston
    • J. A. Freund, A. B. Neiman, and L. Schimansky-Geier, in Stochastic Climate Models, edited by, P. Imkeller, and, J. von Storch,, in Progress in Probability Vol. 48 (Birkhäuser, Boston, 2001).
    • (2001) Stochastic Climate Models , vol.48
    • Freund, J.A.1    Neiman, A.B.2    Schimansky-Geier, L.3
  • 31
    • 0027485141 scopus 로고
    • 0028-0836 10.1038/365337a0
    • J. K. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 0028-0836 10.1038/365337a0 365, 337 (1993); J. E. Levin and J. P. Miller, Nature (London) 0028-0836 10.1038/380165a0 380, 165 (1996); J. J. Collins, T. T. Imhoff, and P. Grigg, J. Neurophysiol. 0022-3077 76, 642 (1996); R. P. Morse and E. F. Evans, Nat. Med. 1078-8956 2, 928 (1996); P. Cordo, J. T. Inglis, S. Verschueren, J. J. Collins, D. M. Merfeld, S. Rosenblum, S. Buckley, and F. Moss, Nature (London) 383, 769 (1996).
    • (1993) Nature (London) , vol.365 , pp. 337
    • Douglass, J.K.1    Wilkens, L.2    Pantazelou, E.3    Moss, F.4
  • 32
    • 0029978336 scopus 로고    scopus 로고
    • 0028-0836 10.1038/380165a0
    • J. K. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 0028-0836 10.1038/365337a0 365, 337 (1993); J. E. Levin and J. P. Miller, Nature (London) 0028-0836 10.1038/380165a0 380, 165 (1996); J. J. Collins, T. T. Imhoff, and P. Grigg, J. Neurophysiol. 0022-3077 76, 642 (1996); R. P. Morse and E. F. Evans, Nat. Med. 1078-8956 2, 928 (1996); P. Cordo, J. T. Inglis, S. Verschueren, J. J. Collins, D. M. Merfeld, S. Rosenblum, S. Buckley, and F. Moss, Nature (London) 383, 769 (1996).
    • (1996) Nature (London) , vol.380 , pp. 165
    • Levin, J.E.1    Miller, J.P.2
  • 33
    • 0030013374 scopus 로고    scopus 로고
    • 0022-3077
    • J. K. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 0028-0836 10.1038/365337a0 365, 337 (1993); J. E. Levin and J. P. Miller, Nature (London) 0028-0836 10.1038/380165a0 380, 165 (1996); J. J. Collins, T. T. Imhoff, and P. Grigg, J. Neurophysiol. 0022-3077 76, 642 (1996); R. P. Morse and E. F. Evans, Nat. Med. 1078-8956 2, 928 (1996); P. Cordo, J. T. Inglis, S. Verschueren, J. J. Collins, D. M. Merfeld, S. Rosenblum, S. Buckley, and F. Moss, Nature (London) 383, 769 (1996).
    • (1996) J. Neurophysiol. , vol.76 , pp. 642
    • Collins, J.J.1    Imhoff, T.T.2    Grigg, P.3
  • 34
    • 0029821151 scopus 로고    scopus 로고
    • 1078-8956
    • J. K. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 0028-0836 10.1038/365337a0 365, 337 (1993); J. E. Levin and J. P. Miller, Nature (London) 0028-0836 10.1038/380165a0 380, 165 (1996); J. J. Collins, T. T. Imhoff, and P. Grigg, J. Neurophysiol. 0022-3077 76, 642 (1996); R. P. Morse and E. F. Evans, Nat. Med. 1078-8956 2, 928 (1996); P. Cordo, J. T. Inglis, S. Verschueren, J. J. Collins, D. M. Merfeld, S. Rosenblum, S. Buckley, and F. Moss, Nature (London) 383, 769 (1996).
    • (1996) Nat. Med. , vol.2 , pp. 928
    • Morse, R.P.1    Evans, E.F.2
  • 35
    • 0029804552 scopus 로고    scopus 로고
    • J. K. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, Nature (London) 0028-0836 10.1038/365337a0 365, 337 (1993); J. E. Levin and J. P. Miller, Nature (London) 0028-0836 10.1038/380165a0 380, 165 (1996); J. J. Collins, T. T. Imhoff, and P. Grigg, J. Neurophysiol. 0022-3077 76, 642 (1996); R. P. Morse and E. F. Evans, Nat. Med. 1078-8956 2, 928 (1996); P. Cordo, J. T. Inglis, S. Verschueren, J. J. Collins, D. M. Merfeld, S. Rosenblum, S. Buckley, and F. Moss, Nature (London) 383, 769 (1996).
    • (1996) Nature (London) , vol.383 , pp. 769
    • Cordo, P.1    Inglis, J.T.2    Verschueren, S.3    Collins, J.J.4    Merfeld, D.M.5    Rosenblum, S.6    Buckley, S.7    Moss, F.8
  • 36
    • 4243267908 scopus 로고
    • 0031-9007 10.1103/PhysRevLett.74.1052
    • L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.74.1052 74, 1052 (1995); L. Gammaitoni, F. Marchesoni, and I. Rabbiosi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.82.675 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Martin, Phys. Rev. E 1063-651X 10.1103/PhysRevE.61.157 61, 157 (2000); S. G. Lee and S. Kim, Phys. Rev. E 72, 61906 (2005).
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1052
    • Gammaitoni, L.1    Marchesoni, F.2    Santucci, S.3
  • 37
    • 0001366730 scopus 로고    scopus 로고
    • 0031-9007 10.1103/PhysRevLett.82.675
    • L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.74.1052 74, 1052 (1995); L. Gammaitoni, F. Marchesoni, and I. Rabbiosi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.82.675 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Martin, Phys. Rev. E 1063-651X 10.1103/PhysRevE.61.157 61, 157 (2000); S. G. Lee and S. Kim, Phys. Rev. E 72, 61906 (2005).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 675
    • Gammaitoni, L.1    Marchesoni, F.2    Rabbiosi, I.3
  • 38
    • 0000918353 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.61.157
    • L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.74.1052 74, 1052 (1995); L. Gammaitoni, F. Marchesoni, and I. Rabbiosi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.82.675 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Martin, Phys. Rev. E 1063-651X 10.1103/PhysRevE.61.157 61, 157 (2000); S. G. Lee and S. Kim, Phys. Rev. E 72, 61906 (2005).
    • (2000) Phys. Rev. e , vol.61 , pp. 157
    • Barbay, S.1    Giacomelli, G.2    Martin, F.3
  • 39
    • 33244496627 scopus 로고    scopus 로고
    • L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.74.1052 74, 1052 (1995); L. Gammaitoni, F. Marchesoni, and I. Rabbiosi, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.82.675 82, 675 (1999); S. Barbay, G. Giacomelli, and F. Martin, Phys. Rev. E 1063-651X 10.1103/PhysRevE.61.157 61, 157 (2000); S. G. Lee and S. Kim, Phys. Rev. E 72, 61906 (2005).
    • (2005) Phys. Rev. e , vol.72 , pp. 61906
    • Lee, S.G.1    Kim, S.2


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