Nonlinear dynamics in distributed systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 164-171

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We build on a previous statistical model for distributed systems and formulate it in a way that the deterministic and stochastic processes within the system are clearly separable. We show how internal fluctuations can be analysed in a systematic way using Van Kanpen's expansion method for Markov processes. We present some results for both stationary and time-dependent states. Our approach allows the effect of fluctuations to be explored, particularly in finite systems where such processes assume increasing importance.
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     author = {I. Adjali and J. L. Fern\'andez-Villaca\~nas and M. Gell},
     title = {Nonlinear dynamics in distributed systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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I. Adjali; J. L. Fernández-Villacañas; M. Gell. Nonlinear dynamics in distributed systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 164-171. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a0/