This paper presents a 6D autonomous system, obtained by introducing a flux-controlled
memristor model into an existing 5D hyperchaotic autonomous system. The dynamics of the …

Research in modern data-driven dynamical systems is typically focused on the three key
challenges of high dimensionality, unknown dynamics and nonlinearity. The dynamic mode …

We provide an effective simulation to investigate the solution behavior of nine-dimensional
chaos for the fractional (Caputo-sense) Lorenz system using a new approximate technique …

In the present paper, a new proposed theoretical hyper-complex chaotic system is proposed,
which is an extension for the complex Lü models. In the proposed model, the variables, x …

In this paper, we present new approaches to study the co-existence of some types of
synchronisation between hyperchaotic dynamical systems. The paper first analyses, based …

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 …

Natural and manmade complex systems are comprised of different elementary units, being
either system components or diverse subsystems as in the case of networked systems …

A new hyperchaotic system is presented, which has two large positive and one small
negative Lyapunov exponent over a large range of parameters. As a consequence, system …

Several models had been proposed for dynamic systems, and different criteria had been
analyzed for such models such as, Hamiltonian, synchronization, Lyapunov expansion, and …

Presenting and simulating the numerical treatment of the nine-dimensional fractional chaotic
Lorenz system is the goal of this work. The spectral collocation method (SCM), which makes …