Enhanced stochastic oscillations in autocatalytic reactions

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

Volumn 79, Issue 3, 2009, Pages

  Dauxois, Thierry ^a   Di Patti, Francesca ^b   Fanelli, Duccio ^b   McKane, Alan J ^c  

^a UNIVERSITÉ DE LYON   (France)

^b UNIVERSITY OF FLORENCE   (Italy)

^c UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

POWER SPECTRUM; STOCHASTIC MODELS;

AUTOCATALYTIC REACTIONS; CHEMICAL CONSTITUENTS; NUMERICAL RESULTS; POWER-SPECTRA; STOCHASTIC FLUCTUATION; STOCHASTIC OSCILLATIONS; STOCHASTIC SIMULATIONS; TEMPORAL OSCILLATIONS;

STOCHASTIC SYSTEMS;

EID: 64949184133     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.036112     Document Type: Article

References (21)

1. P. Gray and S. K. Scott, J. Phys. Chem. 89, 22 (1985). 10.1021/j100247a009
2. S. Jain and S. Krishna, Phys. Rev. Lett. 81, 5684 (1998). 10.1103/PhysRevLett.81.5684
3. F. Dyson, Origins of Life (Cambridge University Press, Cambridge, England, 1985).
4. S. A. Kauffman, J. Theor. Biol. 119, 1 (1986) 10.1016/S0022-5193(86) 80047-9
5. S. A. Kauffman, The Origins of Order (Oxford University Press, Oxford, 1993).
6. P. F. Stadler and P. Schuster, Bull. Math. Biol. 52, 485 (1990). 10.1077/BF02462263
7. G. Wächtershäuser, Proc. Natl. Acad. Sci. U.S.A. 87, 200 (1990). 10.1073/pnas.87.1.200
8. A. J. McKane and T. J. Newman, Phys. Rev. Lett. 94, 218102 (2005). 10.1103/PhysRevLett.94.218102
9. A. J. McKane, J. D. Nagy, T. J. Newman, and M. O. Stefanini, J. Stat. Phys. 128, 165 (2007). 10.1007/s10955-006-9221-9
10. D. Alonso, A. J. McKane, and M. Pascual, J. R. Soc., Interface 4, 575 (2007). 10.1098/rsif.2006.0192
11. N. G. van Kampen, Stochastic Processes in Physics and Chemistry, 3rd ed. (Elsevier, Amsterdam, 2007).
12. A. J. McKane and T. J. Newman, Phys. Rev. E 70, 041902 (2004). 10.1103/PhysRevE.70.041902
13. Y. Togashi and K. Kaneko, Phys. Rev. Lett. 86, 2459 (2001). 10.1103/PhysRevLett.86.2459
14. Y. Togashi and K. Kaneko, J. Phys. Soc. Jpn. 72, 62 (2003). 10.1143/JPSJ.72.62
15. D. T. Gillespie, J. Comput. Phys. 22, 403 (1976). 10.1016/0021-9991(76) 90041-3
16. M. S. Bartlett, J. R. Stat. Soc. Ser. A (Gen.) 120, 48 (1957). 10.2307/2342553
17. R. M. Nisbet and W. S. C. Gurney, Modeling Fluctuating Populations (Wiley, New York, 1982).
18. D. T. Gillespie, J. Phys. Chem. 81, 2340 (1977). 10.1021/j100540a008
19. C. W. Gardiner, Handbook of Stochastic Methods, 3rd ed. (Springer-Verlag, Berlin, 2004).
20. H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer-Verlag, Berlin, 1989).
21. R. Bellmann, Introduction to Matrix Analysis, 2nd ed. (McGraw-Hill, New York, 1970).