Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020‏ - Springer
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …

Stability analysis for Nabla discrete fractional-order of Glucose–Insulin Regulatory System on diabetes mellitus with Mittag-Leffler kernel

G Narayanan, MS Ali, G Rajchakit… - … Signal Processing and …, 2023‏ - Elsevier
In this paper, we study an existence theory as well as stability results to the new fractional
Nabla difference biological model of glucose–insulin regulatory system (GIRS) on diabetes …

Control and anticontrol of chaos in fractional-order models of Diabetes, HIV, Dengue, Migraine, Parkinson's and Ebola virus diseases

M Borah, D Das, A Gayan, F Fenton, E Cherry - Chaos, Solitons & Fractals, 2021‏ - Elsevier
This work investigates new fractional-order (FO) models of six chaotic diseases whose
fractional dynamics have not been studied so far in literature. Here, we design and analyse …

Echo state network based on improved fruit fly optimization algorithm for chaotic time series prediction

Z Tian - Journal of Ambient Intelligence and Humanized …, 2022‏ - Springer
Chaos is a common phenomenon in nature and society. Chaotic system affects many fields.
It is of great significance to find out the regularity of chaotic time series from chaotic system …

[HTML][HTML] The effect of a non-local fractional operator in an asymmetrical glucose-insulin regulatory system: Analysis, synchronization and electronic implementation

JM Munoz-Pacheco, C Posadas-Castillo… - Symmetry, 2020‏ - mdpi.com
For studying biological conditions with higher precision, the memory characteristics defined
by the fractional-order versions of living dynamical systems have been pointed out as a …

Chaos and coexisting attractors in glucose-insulin regulatory system with incommensurate fractional-order derivatives

N Debbouche, AO Almatroud, A Ouannas… - Chaos, Solitons & …, 2021‏ - Elsevier
Modeling glucose-insulin regulatory system plays a key role for treating diabetes, a serious
health problem for numerous patients. The effect of the incommensurate fractional-order …

Extreme multi-stability analysis of a novel 5D chaotic system with hidden attractors, line equilibrium, permutation entropy and its secure communication scheme

AJM Khalaf, HR Abdolmohammadi, A Ahmadi… - The European Physical …, 2020‏ - Springer
In this paper a new 5D chaotic system with line equilibrium is designed and described to
reveal its extreme multi-stability. Hence, all of the resulting attractors are hidden. The …

Lie symmetry, chaos optimal control in non-linear fractional-order diabetes mellitus, human immunodeficiency virus, migraine Parkinson's diseases models: using …

S Mohammadi, SR Hejazi - Computer Methods in Biomechanics …, 2024‏ - Taylor & Francis
The purpose of this article is to investigate the optimal control of nonlinear fractional order
chaotic models of diabetes mellitus, human immunodeficiency virus, migraine and …

[PDF][PDF] Investigation of E-cigarette smoking model with mittag-leffler kernel

E Uçar, S Uçar, F Evirgen, N Özdemir - 2021‏ - sciendo.com
Smoking is the most lethal social poisoning event. The World Health Organization defines
smoking as the most important preventable cause of disease. Around 4.9 million people …

Time series forecasting by the novel gaussian process wavelet self-join adjacent-feedback loop reservoir model

Y Zhou, M Zhang, KP Lin - Expert Systems with Applications, 2022‏ - Elsevier
For a long time, echo state network (ESN) has been a good application in solving the time
series forecasting problem. As an improved ESN, the Self-join Adjacent-feedback Loop …