Dynamics of a biological system with time-delayed noise

European Physical Journal Plus

Volumn 127, Issue 5, 2012, Pages

  Cheage Chamgoue A ^a   Yamapi, R ^a,b   Woafo, P ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

^b UNIVERSITY OF DOUALA   (Cameroon)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84964727021     PISSN: None     EISSN: 21905444     Source Type: Journal    
DOI: 10.1140/epjp/i2012-12059-1     Document Type: Article

References (32)

1. P. Hänggi, P. Talkner, M. Borkovec, Rev. Mod. Phys. 62, 251 (1990)
2. R.L. Stratonovich, Topics in the Theory of Random Noise, Vol. 1 (Gordon and Breach, 1963)
3. R.L. Stratonovich, Topics in the Theory of Random Noise, Vol. 2 (Gordon and Breach, 1967)
4. C. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer, Berlin, 2004)
5. F. Kaiser, Z. Naturforsch. A 33, 294 (1978)
6. H. Fröhlich, Coherence and the action of enzymes, in The Fluctuating Enzyme, edited by G.R. Welch (Wiley, New York, 1986) p. 421
7. H.G. Enjieu Kadji, J.B. Chabi Orou, R. Yamapi, P. Woafo, Chaos, Solitons Fractals 32, 862 (2007)
8. F. Kaiser, Coherent modes in biological systems, in Biological effects of nonionizing radiation, edited by K.H. Illinger, (A.C.S Symp. Series, 1981) p. 157
9. F. Kaiser, C. Eichwald, Int. J. Bifurc. Chaos 1, 485 (1991)
10. C. Eichwald, F. Kaiser, Int. J. Bifurc. Chaos 1, 711 (1991)
11. R. Yamapi, G. Filatrella, M.A. Aziz-Alaoui, CHAOS 20, 013114 (2010)
12. D.E. Knuth, The art of Computer Programming, Vol. 2 (Addison-Wesley, Reading, 1969)
13. H. Fröhlich, Int. J. Quantum Chem. 2, 641 (1968)
14. P. Hänggi, P. Talkner, Z. Phys. B Cond. Matter 45, 79 (1981)
15. T. Zhou, L. Chen, K. Aihara, Phys. Rev. Lett. 95, 178103 (2005)
16. F. Kaiser, Radio Sci. 17, 17S (1982)
17. H.G. Enjieu Kadji, Synchronization dynamics of nonlinear self-sustained oscillations with applications in physics, engineering and biology, PhD Dissertation of Physics, Institut de Mathématiques et de Sciences Physiques (I.M.S.P.) (Porto-Novo, Université d’Abomey-Calavi, Benin, June 2006)
18. R. Yamapi, B.R. Nana Nbendjo, H.G. Enjieu Kadji, Int. J. Bifurc. Chaos 17, 1343 (2007)
19. V.-X. Li, A. Goldbeter, J. Theor. Biol. 138, 149 (1989)
20. F. Kaiser, Coherent Excitations in Biological Systems: Specific Effects in Externally Driven Self-Sustained Oscillating Biophysical Systems (Springer-Verlag, Berlin, 1983)
21. F. Kaiser, in Biological Effects and Dosimetry of Nonionizing Radiation, edited by M. Grandolfo, S.M. Michaelson, A. Rindi (Plenum, New York, 1983) p. 251
22. F. Kaiser, in Energy Transfer Dynamics, edited by T.W. Barret, H.A. Pohl (Springer, New York, 1987) p. 224
23. Ronald F. Fox, Ian R. Gatland, Rajarshi Roy, Gautam Vamuri, Phys. Rev. A 38, 5938 (1988)
24. Lui Lam, Introduction to Nonlinear Physics (Springer-Verlag Inc., New York, 1997)
25. R.H. Rand, Lecture Notes on Nonlinear Vibrations, Version 52, Copyright (2005) by Richard H. Rand
26. P. Cvitanovi, R. Artuso, R. Mainieri, G. Tanner, G. Vattay, CHAOS BOOK, ChaosBook.org, version 13.3 (Sept. 23, 2010)
27. B. Eisenhower, Targeted Escape in Large Oscillator Networks, PhD Dissertation (July 8, 2009)
28. H.A. Kramer, Physica (Amsterdam) 7, 284 (1940)
29. Sample page from NUMERICAL RECIPES IN FORTRAN 77: The art of scientific computing (ISBN 0-521-43064-X) Copyright 1986-1992 by Cambridge University Press
30. C.S. Manohar, R.N. Iyenga, Int. J. Non-Linear Mech. 26, 679 (1991)
31. P. Hanggi, P. Riseborough, Am. J. Phys. 51, 347 (1983)
32. D. Goulding, S. Melnik, D. Curtin, T. Piwonski, J. Houlihan, J.P. Gleeson, G. Huyet, Phys. Rev. E 76, 031128 (2007)