Detecting the temporal structure of intermittent phase locking

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 1, 2011, Pages

  Ahn, Sungwoo ^a   Park, Choongseok ^a   Rubchinsky, Leonid L ^b  

^a INDIANA UNIVERSITY   (United States)

^b INDIANA UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHARACTERISTICS OF DYNAMICS; COUPLED NEURONS; DESYNCHRONIZATION; INTERMITTENCY; INTERMITTENT PHASE; LORENZ OSCILLATORS; LYAPUNOV EXPONENT; OSCILLATORY SYSTEM; PHASE LOCKED STATE; PHASE SPACES; PHASE SYNCHRONIZATION; PHASE-LOCKING; STABILITY PROPERTIES; SYNCHRONIZATION STATE; SYSTEM DYNAMICS; SYSTEM'S DYNAMICS; TEMPORAL STRUCTURES; TENT MAP;

LYAPUNOV METHODS; PHASE SPACE METHODS; STABILITY;

SYNCHRONIZATION;

EID: 79961108511     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.016201     Document Type: Article

References (24)

1. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization, A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, England, 2001).
2. S. Boccaletti, J. Kurths, G. Osipov, D. Valladares, and C. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0 366, 1 (2002).
3. L. Glass, Nature (London) NATUAS 0028-0836 10.1038/35065745 410, 277 (2001). (Pubitemid 32218701)
4. A. Engel, P. Fries, and W. Singer, Nat. Rev. Neurosci. NATUAS 1471-0048 10.1038/35094565 2, 704 (2001). (Pubitemid 33674816)
5. G. Buzsáki and A. Draguhn, Science SCIEAS 0036-8075 10.1126/science.1099745 304, 1926 (2004). (Pubitemid 38822177)
6. T. Nowotny, R. Huerta, and M. Rabinovich, Chaos CHAOEH 1054-1500 10.1063/1.2949925 18, 037119 (2008).
7. M. Rabinovich, P. Varona, A. Selverston, and H. Abarbanel, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.1213 78, 1213 (2006). (Pubitemid 44800115)
8. K. J. Lee, Y. Kwak, and T. K. Lim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.321 81, 321 (1998).
9. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.114101 97, 114101 (2006). (Pubitemid 44396703)
10. S. Rim, I. Kim, P. Kang, Y.-J. Park, and C.-M. Kim, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.015205 66, 015205 (2002). (Pubitemid 40599031)
11. L. Zhao, Y.-C. Lai, and C.-W. Shih, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.036212 72, 036212 (2005). (Pubitemid 41778182)
12. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, and O. I. Moskalenko, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2011.02.032 375, 1646 (2011).
13. A. E. Hramov, A. A. Koronovskii, and M. K. Kurovskaya, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.036212 78, 036212 (2008).
14. A. Schnitzler and J. Gross, Nat. Rev. Neurosci. PYLAAG 1471-0048 10.1038/nrn1650 6, 285 (2005). (Pubitemid 40469983)
15. P. Uhlhaas and W. Singer, Neuron NERNET 0896-6273 10.1016/j.neuron.2006. 09.020 52, 155 (2006). (Pubitemid 44466360)
16. J. M. Hurtado, L. L. Rubchinsky, and K. A. Sigvardt, J. Neurophysiol. JONEA4 0022-3077 10.1152/jn.00853.2003 91, 1883 (2004). (Pubitemid 38339354)
17. J. Hurtado, L. Rubchinsky, K. Sigvardt, V. Wheelock, and C. Pappas, J. Neurophysiol. JONEA4 0022-3077 10.1152/jn.00829.2004 93, 1569 (2005). (Pubitemid 40283741)
18. C. Park, R. M. Worth, and L. L. Rubchinsky, J. Neurophysiol. JONEA4 0022-3077 10.1152/jn.00724.2009 103, 2707 (2010).
19. C. Park, R. M. Worth, and L. L. Rubchinsky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.042901 83, 042901 (2011).
20. A. Liebhold, W. Koenig, and O. Bjornstad, Ann. Rev. Ecology, Evolution and Systematics JONEA4 1543-592X 10.1146/annurev.ecolsys.34.011802.132516 35, 467 (2004). (Pubitemid 40059728)
21. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.63.058201 63, 058201 (2001).
22. A. E. Hramov, A. A. Koronovskii, I. S. Midzyanovskaya, E. Sitnikova, and C. M. V. Rijn, Chaos CHAOEH 1054-1500 10.1063/1.2360505 16, 043111 (2006).
23. P. Gong, A. R. Nikolaev, and C. van Leeuwen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.011904 76, 011904 (2007). (Pubitemid 47112609)
24. G. B. Ermentrout and D. H. Terman, Mathematical Foundations of Neuroscience (Springer, New York, 2010).