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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1994 Volume 99, Number 2, Pages 164–171 (Mi tmf1574)

Nonlinear dynamics in distributed systems

I. Adjali, J. L. Fernández-Villacañas, M. Gell


Abstract: 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.

Language: English


 English version:
Theoretical and Mathematical Physics, 1994, 99:2, 495–500

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