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Abstract The Pehlivan chaotic system, introduced by Ibrahim Pehlivan and Yilmaz Uyaroglu, is a three-dimensional autonomous chaotic model with rich dynamical properties. This paper develops a numerical framework for the ...

Certain subsystems of nonlinear, chaotic systems can be made to synchronize by linking them with common signals. The criterion for this is the sign of the sub-Lyapunov exponents. We apply these ideas to a real set of syn...

Materias / palabras clave: Chaotic behavior in systems; Caos; Sincronización

Materias / palabras clave: Ciencias; Conducta caótica en sistemas; Science; Chaotic behavior in systems; Ciencias naturales; Genética y genómica; Life sciences; Genetics and genomics

Materias / palabras clave: Planificación y administración económica; Economía; Incertidumbre; Economics, Mathematical; Chaotic behavior in systems

This study presents the dynamical analysis and soliton solutions of the Chaffee–Infante equation, an important nonlinear evolution model. The Chaffee Infante equation, widely employed as a reaction–diffusion model, i...

With the advancement in understanding of the physics inside chaotic systems, chaos has been harnessed from a nuisance to a beneficial factor in optical devices. Light–matter interaction in chaotic systems has been util...

Abstract Heart rate variability (HRV), regulated by the autonomic nervous system, is typically assessed using standard time-domain and frequency-domain methods to evaluate autonomic function. However, conventional linear...

This paper investigates the distributed state estimation problem for a class of continuous-time nonlinear systems over sensor networks. The nonlinearities considered are assumed to satisfy the Incremental Quadratic Const...

Abstract Unmanned aerial vehicles, particularly quadrotors, present significant control challenges due to their nonlinear, underactuated, and coupled dynamics. This paper presents a comprehensive modeling approach for a ...

Traditional hepatology conceptualizes liver cirrhosis as the linear accumulation of extracellular matrix (ECM). However, the stagnation of fibrosis reversal and the persistent risk of hepatocellular carcinoma (HCC) despi...

The secular approximation of the hierarchical three body systems has been proven to be very useful in addressing many astrophysical systems, from planets to stars to black holes. In such a system, two objects are on a ti...

Abstract In this paper, we investigate the dynamical behaviour and soliton solutions of the M-fractional Kairat-II equation. Initially, soliton solutions are obtained using the new extended direct algebraic method. To en...

For strongly chaotic classical systems, a basic statistical–mechanical connection is provided by the averaged Pesin-like identity (the production rate of the Boltzmann–Gibbs entropy SBG=−∑i=1Wpilnpi equals the su...

Optimization of computational efficiency and improving predictive stability remain key challenges in reservoir computing (RC) research. Building on the principle of Poincaré recurrence theorem, we propose a dynamic stru...

Discretization of continuous models can do more than approximate their dynamics; it can fundamentally transform their dynamical behavior, such as the complex dynamical behavior that translates the system to a chaotic sta...

Abstract This work introduces a metaheuristic (MH) optimization method, which is inspired by the red-tailed hawks’ predatory behavior is Improved Red-tailed Hawk (IRTHA) Algorithm. The algorithm uses a dynamic adjustme...

Abstract The seasonal Predictability Barrier (PRB) and Persistence Barrier (PEB) in the El Niño‐Southern Oscillation (ENSO) phenomenon are of recent interest, yet the distinction between the PRB in observations and PE...

The architecture and learning procedure underlying ANFIS (adaptive-network-based fuzzy inference system) is presented, which is a fuzzy inference system implemented in the framework of adaptive networks. By using a hybri...

Materias / palabras clave: Lyapunov exponent; Attractor; Divergence (linguistics); Mathematics; Phase space; Series (stratigraphy); Lyapunov function; Chaotic; Applied mathematics; Convergence (economics); Dynamical systems theory; Statistical phy...

Este trabajo se propone abordar los sentidos que organizaron las políticas educativas en la provincia de buenos Aires durante la última dictadura militar. A partir del análisis de fuentes primarias, exploraremos el mo...

It is evident the oscillations in money value and the abandoning of the gold-bullion standard, contributed to accentuate the chaotic situation in international trade, considerably decreasing its volume, annulling free tr...

Materias / palabras clave: chaotic system, complex systems, complex networks, descriptive complexity; Science: Mathematics: Instruments and machines: Electronic computers. Computer science

Materias / palabras clave: mathematical models, complex systems, discrete modelling, non-linear phenomena, chaotic systems; Science: Mathematics