Effects of internal noise in mesoscopic chemical systems near Hopf bifurcation

New Journal of Physics

Volumn 9, Issue , 2007, Pages

  Xiao, Tiejun ^a   Ma, Juan ^a   Hou, Zhonghuai ^a,b   Xin, Houwen ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOCORRELATION; BIFURCATION (MATHEMATICS); FUNCTION EVALUATION; NONLINEAR EQUATIONS; RANDOM PROCESSES;

CHEMICAL OSCILLATION SYSTEMS; INTERNAL NOISE; MESOSCOPIC CHEMICAL SYSTEMS;

ACOUSTIC NOISE;

EID: 36049024494     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/9/11/403     Document Type: Article

References (41)

1. Rao C V, Wolf D M and Arkin A P 2002 Nature 420 231
2. Qian H, Saffarian S and Bison E L 2002 Proc. Natl Acad. Sci. USA 99 10376
3. Hou Z H and Xin H W 2003 J. Chem. Phys. 119 11508
4. Hou Z H and Xin H W 2004 ChemPhysChem 5 407
5. Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 775
6. Schmid G, Goychuk 1 and Hänggi P 2001 Euwphys. Lett. 56 22
7. Jung P and Shuai J W 2001 Europhys. Lett. 56 29
8. Shuai J W and Jung P 2002 Biophys. J. 83 87
9. Shuai J W and Jung P 2002 Phys. Rev. Lett. 88 068102
10. Shuai J W and Jung P 2003 Proc. Natl Acad. Sci. USA 100 506
11. Schmid G, Goychuk I and Hänggi P 2004 Phys. Biol. 1 61
12. Gong Y B, Hou Z H and Xin H W 2004 J. Phys. Chem. B 108 17796
13. Zhang J Q, Hou Z H and Xin H W 2004 ChemPhysChem 5 1041
14. Hou Z H, Rao T and Xin H W 2005 J. Chem. Phys. 122 134708
15. Falcke M 2004 Adv. Phys. 53 255
16. Goychuk I and Hänggi P 2002 Proc. NatlAcad. Sci. USA 99 3552
17. Kærn M, Eiston T C, Blake W J and Collins J J 2005 Nat. Rev. Gen. 6 451
18. Vilar J M G, Kueh H Y, Barkai N and Leibler S 2002 Proc. Natl Acad. Sci. USA 99 5988
19. Gonze D, Halloy J and Goldbeter A 2002 Proc. Natl Acad. Sci. USA 99 673
20. Forger D D and Peskin C S 2005 Proc. Nat lAcad. Sci. USA 102 321
21. Slinko M M, Ukharskii A A, Peskov N V and Jaeger N I 2001 Catai. Today 70 341
22. Peskov N V, Slinko M M and Jaeger N I 2002 J. Chem. Phys. 116 2098
23. Suchorski Yu, Beben J, James E W, Evans J W and Imbihl R 1999 Phys. Rev. Lett. 82 1907
24. Guckenheimer J and Holmes P 1997 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (New York: Springer)
25. Gillespie D T 1997 J. Chem. Phys. 113 297
26. Lemarchand A, Lesne A and Mareschal M 1995 Phys. Rev. E 51 4457
27. Brunet E and Derrida B 1997 Phys. Rev. E 56 2597
28. Hansen J S, Nowakowski B and Lemarchand A 2006 J. Chem. Phys. 124 034503
29. Gardiner C W 1983 Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Heidelberg: Springer)
30. Hassard B D, Kazarinoff N D and Wan YH 1981 Theory and Applications of Hopf bifurcation, London Mathematical Society Lecture Note Series vol 4 (Cambridge: Cambridge University Press)
31. Arnold L, Namachchivaya N S and Schenk-Hoppé K R 1996 Int. J. Bifurcai Chaos 6 1947
32. Roberts J B and Spanos P D 1986 J. Nonlinear Mech. 21 111
33. Wentzell A D and Freidlin M11998 Random Perturbations of Dynamical Systems (New York: Springer)
34. Namachchivaya N S and Ariaratnam S T 1987 J. Nonlinear Mech. 22 363
35. Goodwin B C 1963 Temporal Organization in Cells: A Dynamical Theory of Cellular Control Processes (London: Academic)
36. Gaspard P 2002 J. Chem. Phys. 117 8905
37. Barkai N and Leibler S 2000 Nature 403 267
38. Vilar J M G, Kueh H Y, Barkai N and Leibler S 2002 Proc. Natl Acad. Sci. USA 99 5988
39. Elowitz M B and Leibler S 2000 Nature 403 335
40. Vance W and Ross J 1996 J. Chem. Phys. 105 479
41. Gonze D, Halloy J and Gaspard P 2002 J. Chem. Phys. 116 10997