Dynamical systems in the real domain are currently one of the most popular areas of
scientific study. A wealth of new phenomena of bifurcations and chaos has been discovered …

The occurrence of fractional-order chaotic dynamics have been intensively studied over the
last ten years in a large number of real dynamical systems of physical nature. However, a …

Studies of nonlinear dynamical systems with many degrees of freedom show that the
behavior of these systems is significantly different as compared with the behavior of systems …

In this paper, the complex simplified Lorenz system is proposed. It is the complex extension
of the simplified Lorenz system. Dynamics of the proposed system is investigated by …

Chaotic dynamics play a vital role in real secure communication and image encryption. This
paper focuses on the characteristic analysis and complex self-synchronization (CSS) of a …

In this paper, we introduce three versions of fractional-order chaotic (or hyperchaotic)
complex Duffing-van der Pol models. The dynamics of these models including their fixed …

This paper addresses the design of simple state feedback controllers for synchronization
and anti-synchronization of chaotic oscillators under input saturation and disturbance. By …

The parameter identification of hysteresis models is a fundamental task for correct hysteretic
material simulation. In vector models, as the Jiles-Atherton (JA) vector model, the parameter …

Many studies on the anti-synchronization of nonlinear real dynamic systems have been
carried out, whereas the anti-synchronization of chaotic complex systems has not been …

Chaos control and nonlinear dynamics of both real and complex nonlinear oscillators
constitutes some of the most fascinating developments in applied sciences. The chaos …