We report experimental results on the defect turbulent state of undulation chaos in inclined layer convection of a fluid with Prandtl number approximately 1. By measuring defect density and undulation wave number, we find that the onset of undulation chaos coincides with the theoretically predicted onset for stable, stationary undulations. At stronger driving, we observe a competition between o...

In this paper, an finite-time synchronization controller is proposed for the general chaos model. Compared to other results, the controller designed is simpler and independent on the nonlinear function of chaos system. So the finite-time control scheme can be used in a wide range of chaos system. The simulation results are given to illustrate the effectiveness of the finite-time controller and ...

This contribution deals with optimization of the control of chaos by means of evolutionary algorithms. The main aim of this work is to show that evolutionary algorithms are capable of optimization of chaos control and to show several methods of constructing the complex targeting cost function leading to satisfactory results. As a model of deterministic chaotic system the two dimensional Henon m...

Two random iteration algorithms or \chaos games" for Iterated Function Systems on function spaces, namely IFS with grey level maps (IFSM), are described. The rst algorithm can be interpreted as a \chaos game in code space" and is guaranteed to work only in the case of nonoverlapping IFS maps. In the second algorithm, applicable to IFSM with overlapping IFS maps but aane grey level maps, the (no...

This paper proposes a hybrid control scheme for the synchronization of two chaotic Duffing oscillator system, subject to uncertainties and external disturbances. The novelty of this scheme is that the Linear Quadratic Regulation (LQR) control, Sliding Mode (SM) control and Gaussian Radial basis Function Neural Network (GRBFNN) control are combined to chaos synchronization with respect to extern...

Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...

In addition to exhibiting a rich variety of bifurcation and chaos via tuning parameters, a chaotic system introduced by Sprott can be modeled and realized with a fixed main system block and many different changeable nonlinear function blocks such as piecewise-linear function, cubic function and other trigonometric functions. This system is very suitable for implementing a programmable chaos gen...

In this paper, we introduce a new hyperchaotic complex T-system. This system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, Lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. We discuss the synchronization with certain and uncerta...