Controlled homeodynamic concept using a conformable calculus in artificial biological systems

Rabha W. Ibrahim and Dania Altulea

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: Homeodynamic system (HS) in the biological studies (from the Greek homoios (similar) and Dynamis (energy)) designates the accommodating instruments of stabilizing and repairing of the fundamental reliability and functional efficiency of living schemes. In this effort, we employ the concept of conformable calculus (CC) to generalize the homeodynamic system. The generalization requires a controller in the system to preserve the variables robustly regulated, oscillated, and synchronized variables at a certain set point. Here, we show how the selectivity of the CC makes differences in the behavior of an oscillation and the other properties of HS.

Keywords: Conformable calculus; Conformable differential operator; Conformable integral controller; Homeodynamic system (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305282

DOI: 10.1016/j.chaos.2020.110132

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