An exploding demand for processing capabilities related to the emergence of Internet Things (IoT), Artificial Intelligence (AI), and big data, has led quest increasingly efficient ways expeditiously process rapidly increasing amount data. These include different approaches like improved devices capable going further in more Moore path but also new architectures beyond getting than Moore. Among ...

This paper deals with the method of simulation of fractional order chaotic systems. We present a brief survey of the existing fractional order chaotic systems. These systems are described by three fractional differential equations where order of derivatives is a non-integer, arbitrary order. The total order of chaotic system is less than three. We present an approach where we demonstrate by an ...

Chaotic transients occur in many experiments including those in fluids, in simulations of the plane Couette flow, and in coupled map lattices and they are a common phenomena in dynamical systems. Superlong chaotic transients are caused by the presence of chaotic saddles whose stable sets have fractal dimensions that are close to phase-space dimension. For many physical systems chaotic saddles h...

A general program to show quantum-classical correspondence for bound conservative integrable and chaotic systems is described. The method is applied to integrable systems and the nature of the approach to the classical limit, the cancellation of essential singularities, is demonstrated. The application to chaotic systems requires an understanding of classical Liouville eigenfunctions and a Liou...

The aim of this paper is to compare different prediction methods for chaotic deterministic systems. We consider three different methods to evaluate the dynamics of the systems : the Nearest Neighbors, the Radial Basis Functions and the Regression Tree. We use a comparison criterion suited to chaotic systems : the prediction horizon. The optimal prediction horizon is discussed with respect to th...

This article deals with synchronization between different chaotic systems such as Genesio-Tesi and Qi system using adaptive control method. Based on Lyapunov stability theory, the synchronization between a pair of chaotic systems with fully unknown parameters is derived. An adaptive control law and a parameter update rule for unknown parameters are designed such that the chaotic Qi system is co...

The natural measure of a chaotic set in a phase-space region can be related to the dynamical properties of the unstable periodic orbits embedded in that set. This result has been proven to be valid for hyperbolic chaotic systems. We test the goodness of such a periodic-orbit characterization of the natural measure for nonhyperbolic chaotic systems by comparing the natural measure of a typical c...