Nonlinear dynamics in distributed systems
Copyright policy )Nonlinear dynamics in distributed systems
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.
Two parts: 8 pages LaTeX file and 5 (uuencoded) figures in Postscript format
statistical model for distributed systems, FOS: Physical sciences, Van Kampen's expansion, Jump processes, Other physical applications of random processes, Adaptation and Self-Organizing Systems (nlin.AO), Nonlinear Sciences - Adaptation and Self-Organizing Systems, complexity of telecommunication and computational systems
statistical model for distributed systems, FOS: Physical sciences, Van Kampen's expansion, Jump processes, Other physical applications of random processes, Adaptation and Self-Organizing Systems (nlin.AO), Nonlinear Sciences - Adaptation and Self-Organizing Systems, complexity of telecommunication and computational systems
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