Synchronization enhancement via an oscillatory bath in a network of self-excited cells

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• 作者：B R NANA NBENDJO (1)
  H G ENJIEU KADJI (1) (2)
  HILDA A CERDEIRA (3)
  
  1. Laboratory of Modelling and Simulation in Engineering and Biomimetics and Prototypes ; University of Yaound茅 I ; P.O. Box 812 ; Yaound茅 ; Cameroon
  2. Monell Chemical Senses Center ; 3500 Market Street ; Philadelphia ; PA ; 19104 ; USA
  3. Instituto de F铆sica Te贸rica ; UNESP-Universidade Estadual Paulista ; Rua Dr. Bento Teobaldo Ferraz 271 ; Bloco II ; 01140-070 ; S茫o Paulo ; SP ; Brazil
  
• 关键词：Synchronization ; oscillatory bath ; self ; excited cells ; noise injection ; network. ; 87.18.Tt ; 87.19.Im ; 87.19.In ; 87.19.lc
• 刊名：Pramana
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：84
• 期：2
• 页码：257-272
• 全文大小：1,039 KB
• 参考文献：1. D J Watts and S H Strogatz, / Nature 394, 440 (1998)
  2. S Song, P J Sjostrom, M Reigl, S Nelson and D B Chklovskii, / PLoS Biol. 3, 0507 (2005)
  3. L Donetti, P I Hurtado and M A Mu帽oz, / Phys. Rev. Lett. 95, 188701 (2005)
  4. B Wang, T Zhou, Z L Xiu and B J Kim, / Eur. Phys. J. B 60, 89 (2007)
  5. A A Selivanov, J Lehnert, T Dahms, P Hovel, A L Fradkov and E Scholl, / Phys. Rev. E 85, 016201 (2012)
  6. Y Xie, Y Gong, Y Hao and X Ma, / Biophys. Chem. 146, 126 (2009)
  7. F Sorrentino, / New J. Phys. 14, 033035 (2012)
  8. I K Rhee, J Lee, J Kim, E Serpedin and Y C Wu, / Sensors 9, 56 (2009)
  9. L Zhao, I I B Beverlin, T Netoff and D Q Nykamp, / Frontiers Comput. Neurosci. 5, 1 (2011)
  10. K Lehnertz, S Bialonski, M T Horstmann, D Krung, A Rothkegel, M Staniek and T Wagner, / J. Neurosci. Meth. 183, 42 (2009)
  11. H G Enjieu Kadji, J B Chabi Orou and P Woafo, / Commun. Nonlinear Sci. Numer. Simul. 13, 1361 (2007)
  12. P Ashwin, / Lect. Notes Phys. 671, 181 (2005)
  13. A M Dos Santos, S Lopez and R L Viana, / Math. Probl. Eng. 2009, 610574 (2009)
  14. Y Chembo Kouomou and P Woafo, / Phys. Rev. E 67, 046205 (2003)
  15. Z Zheng, X Feng, B Ao and M C Cross, / Europhys. Lett. 87, 50006 (2005)
  16. J Zhou, H B Huang, G X Qi, P Yang and X Xie, / Phys. Lett. A 335, 191 (2005)
  17. N Komin, A C Murza, E Hern谩ndez Garc铆a and R Toral, / Interface Focus 1, 167 (2011)
  18. L J Kocarev, K S Halle, K Eckert, U Parlitz and L O Chua, / Int. J. Bifurcat. Chaos 2, 709 (1992)
  19. Y Kuramoto, / Chemical oscillations, waves and turbulence (Springer-Verlag, New York, 1980)
  20. F Song, M He, M I Faley, L Fang and A M Klushin, / J. Appl. Phys. 108, 063903 (2010)
  21. J Benford, H Sze, W Woo, R R Smith and B Harteneck, / Phys. Rev. Lett. 62, 969 (1989)
  22. A Ishaaya, V Eckouse, L Shimshi, N Davidson and A Friesem, / Opt. Express 13, 2722 (2005)
  23. S Peles, J L Rogers and K Wiesenfeld, / Phys. Rev. E 73, 026212 (2006)
  24. R Yamapi, H G Enjieu Kadji and G Filatrella, / Nonlinear Dynam. 61, 275 (2010)
  25. H G Enjieu Kadji, J B Chabi Orou and P Woafo, / Chaos 17, 033109 (2007)
  26. C Lia, H Xu, X Liao and J Yu, / Physica A 395, 359 (2004)
  27. H F El-Nashar, Y Zhang and H A Cerdeira, / Chaos 13, 1216 (2003)
  28. P Woafo and H G Enjieu Kadji, / Phys. Rev. E 69, 046206 (2004)
  29. E Camacho, R Rand and H Howland, / Int. J. Solids Struct. 41, 2133 (2004)
  30. C T Steele, B D Zivkovic, T Siopes and H Underwood, / Am. J. Physiol. Regul. Integr. Comp. Physiol. 284, 208 (2003)
  31. R J Thresher, M H Vitaterna, Y Miyamoto, A Kazantsev, D S Hsu, C Petit, C P Selby, L Dawut, O Smithies, J S Takahashi and A Sancar, / Science 282, 5393 (1998)
  32. S Hattar, H W Liao, M Takao, D M Berson and K W Yau, / Science 295, 5557 (2002)
  33. M K Manglapus, P M Iuvone, H Underwood, M E Pierce and R B Barlow, / J. Neurosci. 19, 4132 (1999)
  34. N P A Bos and M Mirmiran, / Brain Res. 511, 1 (1990)
  35. M U Gillete and S A Tischkau, / Recent Prog. Hormone Res. 54, 33 (1999)
  36. B Nana and P Woafo, / Phys. Rev. E 74, 046213 (2006)
  37. A H Nayfeh and D T Mook, / Nonlinear oscillations (Wiley, New York, 1979)
  38. C Hayashi, / Nonlinear oscillations in physical systems (McGraw-Hill, New York, 1964)
  39. H G Enjieu Kadji, R Yamapi and J B Chabi Orou, / Chaos 17, 033113 (2007)
  40. H Gang, X Jinghua, G Jihua, L Xiangming, Y Yugui and B Hu, / Phys. Rev. E 62, R3034 (2000)
  41. J D Menietti, O Santolik, A M Rymer, G B Hospodarsky, A M Persoon, D A Gurnett, J Coates and D T Young, / J. Geophys. Res. 113, A05213 (2008)
  42. Y Takiguchi, Y Liu and J Ohtsubo, / Opt. Lett. 23, 1369 (1998)
  43. J R Lieberman, A Daluiski and T A Einhorn, / J. Bone. Joint. Surg. Am. 84, 1032 (2002)
  44. M Ellies, R Laskawi, G Tormahlen and W Gotz, / J. Oral Maxillofac. Surg. 58, 1251 (2000)
  45. S C Jung and D A Hoffman, / PLoS One 4 e6549 1鈥?4 (2009)
  46. N Keren, D Bar-Yehuda and A Korngreen, / J. Physiol. 587, 1413 (2009)
  47. M Galarreta and S Hestrin, / Nature 402, 72 (1999)
  48. G Silberberg and H Markram, / Neuron 53, 735 (2007)
  49. A S Landsman, E Neftci and D R Muir, / New J. Phys. 14, 1 (2012)
  50. R Toral, C R Mirasso, E Hernandez-Garcia and O Piro, / Chaos 11, 665 (2001)
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111

文摘

The possibility of using a dynamic environment to achieve and optimize phase synchronization in a network of self-excited cells with free-end boundary conditions is addressed in this paper. The dynamic environment is an oscillatory bath coupled linearly to a network of four cells. The boundaries of the stable solutions of the dynamical states as well as the ranges of coupling parameters leading to stability and instability of synchronization are determined. Numerical simulations are used to check the accuracy and to complement the result obtained from analytical treatment. The robustness of synchronization strategy is tested using a local and global injection of Gaussian white noise in the network. The control gain parameter of the bath coupling can modulate the occurrence of synchronization in the network without prior requirement of direct coupling among all the cells. The process of synchronization obtained through local injection is independent of the node at which noise is injected into the system. As compared to local injection, the global injection scheme increases the range of noise amplitude for which synchronization occurs in the network.