On chaos control of nonlinear fractional chaotic systems via a neural collocation optimization scheme and some applications

Yavari, Mina; Nazemi, Alireza; Mortezaee, Marziyeh

doi:10.1016/j.newast.2022.101794

Cited by 4 publications

(1 citation statement)

References 78 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In other words, given the same initial conditions and equation, the system will always evolve in the same way. Following the development of the mathematical representation of chaos, it can be used in a wide range of fields, including engineering, computing, communications, biology and medicine, management and finance, consumer electronics (Ditto and Munakata 1995;Hilborn et al 2000;Banerjee et al 2012;Jun 2022;Yavari et al 2022).…”

Section: Introductionmentioning

confidence: 99%

Respiratory Diseases Prediction from a Novel Chaotic System

Mansour

DONMEZ²,

Kutlu³

et al. 2023

Chaos Theory and Applications

View full text Add to dashboard Cite

Pandemia severely affects international health systems. Researchers found out that there is a correlation between weather conditions and respiratory diseases. This paper focuses on the nonlinear analysis of respiratory diseases, and their relation to weather conditions. Chaos events that totally random but may actually have underlying patterns. For weather conditions, Edward Lorenz defined this phenomenon as the butterfly effect. This inspired us to define a chaotic system which could capture properties of respiratory diseases. The chaotic analysis was performed and was related to the difference in the daily number of cases received from real data. The correlation between patient predicted number and the new chaotic equation solution was 90,16. In the future, this equation will be implemented in a real-time warning system for use by national health services.

show abstract