Nonlinear Dynamics in Distributed Systems

Details Nonlinear Dynamics in Distributed Systems Nonlinear Dynamics in Distributed Systems

1994-05-17

arxiv.org/abs/adap-org/9405004v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Two parts: 8 pages LaTeX file and 5 (uuencoded) figures in Postscript format

Scientific paper

10.1007/BF01016129

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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