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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Non-Ergodic to Ergodic Regime Transition via Intrusions in a Non-Poisson Renewal System with Power Law Tails

by
Osman Çağlar Akin
Department of Physics, Fatih University, 34500 Büyükçekmece, İstanbul, Turkey
Math. Comput. Appl. 2011, 16(1), 248-257; https://doi.org/10.3390/mca16010248
Published: 1 April 2011
Versions Notes

Abstract

We study the effect of non-linear perturbations in the form of periodic intrusions in the case of a non-Poisson renewal system in the non-ergodic regime. We notice that, intrusions may cause the system to shift the power index and may even cause a transition from a non-ergodic regime to an ergodic regime. We have made the diffusion entropy analysis (DEA) of the system and notice that the change of the degree of complexity is consistent with the transition as well.
Keywords: Stochastic processes; renewal theory Stochastic processes; renewal theory

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MDPI and ACS Style

Akin, O.Ç. Non-Ergodic to Ergodic Regime Transition via Intrusions in a Non-Poisson Renewal System with Power Law Tails. Math. Comput. Appl. 2011, 16, 248-257. https://doi.org/10.3390/mca16010248

AMA Style

Akin OÇ. Non-Ergodic to Ergodic Regime Transition via Intrusions in a Non-Poisson Renewal System with Power Law Tails. Mathematical and Computational Applications. 2011; 16(1):248-257. https://doi.org/10.3390/mca16010248

Chicago/Turabian Style

Akin, Osman Çağlar. 2011. "Non-Ergodic to Ergodic Regime Transition via Intrusions in a Non-Poisson Renewal System with Power Law Tails" Mathematical and Computational Applications 16, no. 1: 248-257. https://doi.org/10.3390/mca16010248

APA Style

Akin, O. Ç. (2011). Non-Ergodic to Ergodic Regime Transition via Intrusions in a Non-Poisson Renewal System with Power Law Tails. Mathematical and Computational Applications, 16(1), 248-257. https://doi.org/10.3390/mca16010248

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