Non-Ergodic to Ergodic Regime Transition via Intrusions in a Non-Poisson Renewal System with Power Law Tails
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
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
Share and Cite
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 StyleAkin, 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
