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MASTER EQUATIONS, STOCHASTIC DIFFERENTIAL EQUATIONS, AND BIFURCATIONS

1979; Wiley; Volume: 316; Issue: 1 Linguagem: Inglês

10.1111/j.1749-6632.1979.tb29488.x

1749-6632

C. W. Gardiner, S. Chaturvedi, D. F. Walls,

Spectroscopy and Quantum Chemical Studies

Annals of the New York Academy of SciencesVolume 316, Issue 1 p. 453-462 MASTER EQUATIONS, STOCHASTIC DIFFERENTIAL EQUATIONS, AND BIFURCATIONS C. W. Gardiner, C. W. Gardiner Physics Department University of Waikato Hamilton, New ZealandSearch for more papers by this authorS. Chaturvedi, S. Chaturvedi Physics Department University of Waikato Hamilton, New ZealandSearch for more papers by this authorD. F. Walls, D. F. Walls Physics Department University of Waikato Hamilton, New ZealandSearch for more papers by this author C. W. Gardiner, C. W. Gardiner Physics Department University of Waikato Hamilton, New ZealandSearch for more papers by this authorS. Chaturvedi, S. Chaturvedi Physics Department University of Waikato Hamilton, New ZealandSearch for more papers by this authorD. F. Walls, D. F. Walls Physics Department University of Waikato Hamilton, New ZealandSearch for more papers by this author First published: February 1979 https://doi.org/10.1111/j.1749-6632.1979.tb29488.xCitations: 7AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References 1Schlögl, F. 1972. Z. Phys. 253: 147. 2Nicolis, G. & I. Prigogine 1971. Proc. Nat. Acad. Sci. U.S.A. 68: 2102. 3Prigogine, I. & Nicolis, G. 1973. Proc. 3rd Internatl. Conf. From Theoretical Physics to Biology. S. Karger. Basel . 4Nitzan, A., P. Ortoleva, J. Deutch & J. Ross 1974. J. Chem. Phys. 61: 1056. 5McNeil, K. J., D. F. Walls 1974. J. Stat. Phys. 12: 21. 6Matheson, I. S., D. F. Walls & C. W. Gardiner 1975. J. Stat. Phys. 14: 307. 7Gardiner, C. W., K. J. McNeil, D. F. Walls & I. S. Matheson J. Stat. Phys. 14: 307. 8Keizer, J. 1975. J. Chem. Phys. 63: 398. 9Keizer, J. 1975. J. Chem. Phys. 63: 5037. 10Keizer, J. 1976. J. Chem. Phys. 64: 1679. 11Hochberg, K. 1977. A Signed Measure on Path Space. Preprint. Courant Institute. 12Gardiner, C. W. & S. Chaturvedi 1977. J. Stat. Phys. 17: 429–468. 13van Kampen, N. G. 1976. Phys. Lett. 59A: 333. 14Arnold, L. 1974. Stochastic Differential Equations. Wiley-Interscience. New York . 15Haken, H. 1975. Rev. Mod. Phys. 47: 67. 16van Kampen, N. G. 1976. Fluctuations in continuous systems. In Topics in Statistical Mechanics and Biophysics. R. Picirelli, Ed. Am. Inst. Physics. New York . 17Glauber, R. J. 1963. Phys. Rev. 130: 2529; 131: 2761. 18Sudarshan, E. C. G. 1966. Phys. Rev. Lett. 16: 534. 19Kurtz, T. G. 1972. J. Chem. Phys. 57: 2976. 20Grossman, S. 1976. J. Chem. Phys. 65: 2007. 21Gardiner, C. W. 1976. J. Stat. Phys. 15: 451. 22Kadanoff, L. P., W. Gotze, D. Hamblen, R. Hecht, E. A. S. Lewis, V. V. Palc-causkas, M. Rayl & J. Swift 1967. Rev. Mod. Phys. 39: 395. 23Gardiner, C. W. & D. F. Walls 1977. A generalised Landau theory for chemical instabilities. J. Phys. A 11: 161. 24Nicolis, G. 1972. J. Stat. Phys. 6: 195. 25Mazo, R. M. 1975. J. Chem. Phys. 62: 4244. 26Janssen, H. K. 1974. Z. Phys. 270: 67. 27Whittaker, E. T. & G. N. Watson 1927. A Course of Modern Analysis. 4th edit. Cambridge University Press. London . 28Haken, H. 1975. Z. Phys. B 22: 69–72. 29Haken, H. 1975. Z. Phys. B 20: 413–420. 30Nicolis, G. & J. W. Turner 1977. Physica. 89A: 326. 31Chaturvedi, S. & C. W. Gardiner 1978. The Poisson representation II: Two time correlation functions. J. Stat. Phys. 18: 503. 32Chaturvedi, S., C. W. Gardiner, I. S. Matheson & D. F. Walls 1977. J. Stat. Phys. 17: 469. 33Glandsorff, P. & I. Prigogine 1971. Thermodynamic Theory of Structure, Stability and Fluctuation. Wiley Interscience. New York . Citing Literature Volume316, Issue1Bifurcation Theory and Applications in Scientific DisciplinesFebruary 1979Pages 453-462 ReferencesRelatedInformation