Chaotic dynamics have been widely applied in various domains such as cryptography,
watermarking and optimization algorithms. Enhancing chaotic complexity of simple one …

Fractional-order chaotic oscillators are a hot topic of research and nowadays many new
mathematical models have been introduced, which can be suitable for the development of …

Thanks to the superiority of fractional differential equations in modeling high technology
dynamical real world systems, the design and control of fractional-order systems have been …

The high-performance speed control is hard to achieve for the permanent magnet
synchronous motor (PMSM) drive system under uncertain disturbances, input saturation …

The fault detection filter (FDF) design problem of a class of time-delayed and nonlinear
Markovian jumping systems (MJSs) is considered. The delays in this paper are mode …

A novel fractional order dynamical system with a variable double-scroll attractor on a line,
lattice and 3D grid is introduced. This system belongs to a class of chaotic systems with …

This paper is devoted to demonstrate how a class of fractional-order chaotic systems can be
controlled in a given finite time using just a single control input. First a novel fractional …

In this paper a numerical method for finding and drawing amplitude–frequency curves of
nonlinear fractional differential equations is introduced. This method is based on the …

A novel criterion for achieving synchronisation in fractional-order chaotic and hyperchaotic
systems is presented. Here, it is proved that the existence of a Lyapunov function in the …

In this paper we present a new approach for solving a class of fractional optimal control
problems based on generalized fuzzy hyperbolic model. The fractional derivatives are …