An immense body of research has focused on chaotic systems, mainly because of their
interesting applications in a wide variety of fields. A comprehensive understanding and …

The present study proposes a new fractional-order hyperchaotic memristor oscillator. The
proposed system is studied through numerical simulations and analyses, such as the …

In the present paper, for the first time, we propose a variable-order hyperchaotic system for
information security. Firstly, we study the dynamical behaviors of a memristor oscillator …

Recently, intelligent control techniques have received considerable attention. In most
studies, the systems' model is assumed to be without any delay, and the effects of faults and …

Nowadays, chaotic systems are attracting considerable attention due to their special
features. The aim of this paper is to study a four-dimensional system that lacks any …

We develop a new robust control scheme for a non-holonomic spherical robot. To this end,
the mathematical model of a pendulum driven non-holonomic spherical robot is first …

Economic systems, due to their substantial effects on any society, are interesting research
subject for a large family of researchers. Despite all attempts to study economic and financial …

Since the variable-order fractional systems show more complex characteristics and more
degrees of freedom due to time-varying fractional derivatives, we introduce a variable-order …

In this novel research, through dynamical analysis, we introduce for the first time a fractional-
calculus based artificial macroeconomic model, actually implemented in the Laboratory via a …

In the present article, as a new approach, a fuzzy disturbance observer is combined with an
active controller for the synchronization of fractional-order time-delayed systems. Since the …