Supply network issues recently have attracted a lot of attention from industrial practitioners and academics worldwide. Supply networks are highly complex systems. The oscillations in demand and inventory as orders pass through the system have been widely studied in literature. Studies have shown that supply networks can display some of the key characteristics of chaotic systems. Chaos theory i...

In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of proposed method is proved by Barbalate’s lemma. Numeri...

Soil temperature can fluctuate dynamically, suggesting a possible chaotic behavior in such time series, as this can have a significant bearing on hydrological models, solar energy and other agricultural applications. Hence, this paper reports an investigation into the detection of a possible existence of chaotic behavior in the monthly soil temperature time series at five depths (5, 10, 20, 50 ...

Some simple equations representing the dynamics of a single population over time are known to be capable of generating extremely complicated behavior. This complicated behavior has been termed chaotic (Li and Yorke, 1975; May, 1974, 1975; May and Oster, 1976; Guckenheimer et al., 1976). The practical consequence of chaotic behavior is a certain inability to describe particular population trajec...

A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic sy...

In this paper, a periodic parametric perturbation was designed for controlling chaos and generating chaos (chaotification) from a three-dimensional autonomous system. When we added the small periodic parametric perturbations, the system became a non-autonomous system, which has abundant dynamics behavior. Periodic, chaotic and hyperchaos behaviors were identified by the Lyapunov exponents and b...

A simple approach is proposed to tame chaos by injecting high-frequency signals, commonly called dithers, into the chaotic systems. Based on the relaxed method, an appropriate dither is introduced to suppress chaotic motion. If the frequency of dither is high enough, the trajectory described by the dithered chaotic system and the trajectory of its corresponding mathematical model — the relaxed ...

In this paper, a novel formulation of discrete chaotic iterations in the field of dynamical systems is given. Their topological properties are studied: it is mathematically proved that, under some conditions, these iterations have a chaotic behavior in the meaning of Devaney. This chaotic behavior allows us to propose a way to generate new hash functions. An illustration example is detailed in ...

the speech is an easily accessible signal which clearly represents the characteristics of larynx and vocal folds. therefore, application of some proper machine learning algorithms on a small part of a recorded speech signal may help in non-invasive diagnosing of vocal fold diseases. since there are some experimental evidences that suggest the existence of chaotic behavior in speech production s...