title: Effect of noise and detector sensitivity on a dynamical process: inverse power law and Mittag-Leffler interevent time survival probabilities.
abstract: We study the combined effects of noise and detector sensitivity on a dynamical process that generates intermittent events mimicking the behavior of complex systems. By varying the sensitivity level of the detector we move between two forms of complexity, from inverse power law to Mittag-Leffler interevent time survival probabilities. Here fluctuations fight against complexity, causing an exponential truncation to the survival probability. We show that fluctuations of relatively weak intensity have a strong effect on the generation of Mittag-Leffler complexity, providing a reason why stretched exponentials are frequently found in nature. Our results afford a more unified picture of complexity resting on the Mittag-Leffler function and encompassing the standard inverse power law definition.
authors.affiliation: Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203-1427, USA and Faculty of Science and Technology, Chiang Mai Rajabhat University, 202 Chang Phuak Road, Muang, Chiang Mai 50300, Thailand.
authors.forename: Pensri
authors.initials: P
authors.lastname: Pramukkul
authors.affiliation: Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203-1427, USA.
authors.forename: Adam
authors.initials: A
authors.lastname: Svenkeson
authors.affiliation: Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203-1427, USA.
authors.forename: Paolo
authors.initials: P
authors.lastname: Grigolini