Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

Since the invention of Chua's circuit, numerous generalizations based on the substitution of
the nonlinear function have been reported. One of the generalizations is obtained by …

Chaotic attractors in the classical Lorenz system have long been known as self-excited
attractors. This paper, for the first time, reveals a novel hidden chaotic attractor in the …

Recently a concept of self-excited and hidden attractors was suggested: an attractor is called
a self-excited attractor if its basin of attraction overlaps with neighborhood of an equilibrium …

The dynamics of brushless DC motor (BLDCM), a type of permanent magnet synchronous
motor (PMSM) is investigated. The dynamical model of the BLDCM is compared to a mostly …

This paper introduces nonlinear analysis and control of a fraction order small-scale grid
(SSG) under the influence of disturbances and noise. Random wind power supply and …

In this paper, a new fractional-order chaotic system containing several nonlinearity terms is
introduced. This new system can excite hidden chaotic attractors or self-excited chaotic …

Dynamic stability of the coupled axial-torsional motion of a drill string is studied in this paper.
Considering the drill string as a continuous system, governing equations of axial and …

This work is devoted to the analysis of a mathematical model of hydropower unit, consisting
of synchronous generator, hydraulic turbine, and speed governor. It is motivated by the …

Recently, the study of hidden and self-excited attractors has drawn considerable
significance in dynamical systems due to its potential applications in nature and industry …