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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 ...

In this study, we examine the uniqueness conditions for solutions of fractal differential equations using the Krasnoselskii-Krein uniqueness theorem. The analysis establishes sufficient criteria that guarantee the existe...

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...

Abstract In this paper, a three (four) dimensional autonomous Finance chaotic (hyperchaotic) system is considered, and we obtained the stability of this systems. We show that the chaotic (three dimensional) system is asy...

Chaos in Transit Systems is a work in progress inspired by the everyday experiences people face when driving through the city. Why is it that traveling times between the same locations can vary so much for different driv...

We propose a plain files cipher by means of a stream cryptosystem scheme with chaotic addition and a symmetric key. The sequence of numbers used for encryption is generated by a continuous chaotic dynamical system; in pa...

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 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...

In the last few years, neural networks have found interesting applications in the field of time series modeling and forecasting. Some recent results show the ability of these models to approximate the dynamical behavior ...

Entropy is a powerful tool for the analysis of time series, as it allows describing the probability distributions of the possible state of a system, and therefore the information encoded in it. Nevertheless, important in...

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...

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...

We have recently presented strong evidence that chaotic orbits that obey one isolating integral besides energy exist in a toy Hamiltonian model with three degrees of freedom and are bounded by regular orbits that isolate...

Abstract The beer game model is a typical paradigm used to study complex dynamics behaviours in production–distribution systems. The model, however, does not accord with current practical supply chain system models in ...

Chaotic semiconductor lasers have been widely investigated for high-speed random bit generation, which is applied for the generation of cryptographic keys for classical and quantum cryptography systems. Here, we propose ...

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 Background After its landfall in Puerto Rico in 2017, Hurricane Maria caused the longest blackout in United States history, producing cascading effects on a health care system that had already been weakened by d...

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 ...

We study the eigenstates of open maps whose classical dynamics is pseudointegrable and for which the corresponding closed quantum system has multifractal properties. Adapting the existing general framework developed for ...

ABSTRACT The autonomic nervous system is closely linked to heart rate and is characterized as a chaotic deterministic system. As the heart is therefore controlled by a non-linear system, these analyzes are being used mor...