Non-Ergodic Complexity Management
| Autor: | Nicola Piccinini, David Lambert, Mauro Bologna, Bruce J. West, Paolo Grigolini |
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| Rok vydání: | 2015 |
| Předmět: |
Discrete mathematics
Complex system Non-equilibrium thermodynamics FOS: Physical sciences USable Condensed Matter::Disordered Systems and Neural Networks 01 natural sciences Nonlinear Sciences - Adaptation and Self-Organizing Systems 010305 fluids & plasmas Condensed Matter::Soft Condensed Matter Distribution function 0103 physical sciences Complexity management In real life Statistical physics 010306 general physics Linear response theory Adaptation and Self-Organizing Systems (nlin.AO) Mathematics |
| DOI: | 10.48550/arxiv.1511.08140 |
| Popis: | Linear response theory, the backbone of non-equilibrium statistical physics, has recently been extended to explain how and why non-ergodic renewal processes are insensitive to simple perturbations, such as in habituation. It was established that a permanent correlation resulted between an external stimulus and the response of a complex system generating non-ergodic renewal processes, when the stimulus is a similar non-ergodic process. This is the principle of complexity management, whose proof relies on ensemble distribution functions. Herein we extend the proof to the non-ergodic case using time averages and a single time series, hence making it usable in real life situations where ensemble averages cannot be performed because of the very nature of the complex systems being studied. Comment: 5 pages, 2 figures |
| Databáze: | OpenAIRE |
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