Effects of moderate noise on a limit cycle oscillator: Counterrotation and bistability

Physical Review Letters

Volumn 112, Issue 11, 2014, Pages

  Newby, Jay M ^a   Schwemmer, Michael A ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL APPLICATIONS; BISTABLES; COUNTERROTATION; FITZHUGH-NAGUMO MODEL; LIMIT-CYCLE OSCILLATORS; PHASE REDUCTION METHODS; STOCHASTIC CALCULUS;

STOCHASTIC SYSTEMS;

DYNAMICS;

ARTICLE; BIOLOGICAL RHYTHM; PERIODICITY; ROTATION; STATISTICS; THEORETICAL MODEL;

BIOLOGICAL CLOCKS; MODELS, THEORETICAL; PERIODICITY; ROTATION; STOCHASTIC PROCESSES;

EID: 84897827221     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.114101     Document Type: Article

References (21)

1. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, Berlin, 1984).
2. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, England, 2001).
3. A. Winfree, The Geometry of Biological Time (Springer, New York, 2001).
4. R. P. Boland, T. Galla, and A. J. McKane, Phys. Rev. E 79, 051131 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.051131
5. D. Gonze, J. Halloy, and P. Gaspard, J. Chem. Phys. 116, 10997 (2002). JCPSA6 0021-9606 10.1063/1.1475765 (Pubitemid 34751202)
6. H. Koeppl, M. Hafner, A. Ganguly, and A. Mehrotra, Phys. Biol. 8, 055008 (2011). 1478-3975 10.1088/1478-3975/8/5/055008
7. J. Teramae, H. Nakao, and G. Ermentrout, Phys. Rev. Lett. 102, 194102 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.194102
8. K. Yoshimura and K. Arai, Phys. Rev. Lett. 101, 154101 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.154101
9. H. Gang, T. Ditzinger, C. Ning, and H. Haken, Phys. Rev. Lett. 71, 807 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.807
10. W.-J. Rappel and S. Strogatz, Phys. Rev. E 50, 3249 (1994). PLEEE8 1063-651X 10.1103/PhysRevE.50.3249
11. P. Le Gal, A. Nadim, and M. Thompson, J. Fluid Struct. 15, 445 (2001). 0889-9746 10.1006/jfls.2000.0344 (Pubitemid 34137656)
12. K. Staliunas, G. de Valcárcel, J. Buldú, and J. Garcia-Ojalvo, Phys. Rev. Lett. 102, 010601 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.010601
13. G. Ermentrout and N. Kopell, SIAM J. Appl. Math. 50, 125 (1990). SMJMAP 0036-1399 10.1137/0150009
14. G. Saxena, A. Prasad, and R. Ramaswamy, Phys. Rep. 521, 205 (2012). PRPLCM 0370-1573 10.1016/j.physrep.2012.09.003
15. J. Stuart, J. Fluid Mech. 9, 353 (1960). JFLSA7 0022-1120 10.1017/S002211206000116X
16. M. Provansal, C. Mathis, and L. Boyer, J. Fluid Mech. 182, 1 (1987). JFLSA7 0022-1120 10.1017/S0022112087002222
17. R. FitzHugh, Biophys. J. 1, 445 (1961). BIOJAU 0006-3495 10.1016/S0006-3495(61)86902-6
18. J. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRE 50, 2061 (1962). PIREAE 0096-8390 10.1109/JRPROC.1962.288235
19. C. Gardiner, Handbook of Stochastic Methods (Springer, New York, 1997).
20. S. Bhowmick, D. Ghosh, and S. Dana, Chaos 21, 033118 (2011). CHAOEH 1054-1500 10.1063/1.3624943
21. A. Prasad, Chaos Solitons Fractals 43, 42 (2010). CSFOEH 0960-0779 10.1016/j.chaos.2010.08.001