We present a numerical study of control of chaos in a model of a multimode Nd:YAG laser using periodic perturbations of accessible control parameters. We show that a small modulation of either the losses or the pump can eliminate chaos or make the system even more chaotic. Depending on the parameters of the perturbation, two qualitatively diierent periodic outputs can be achieved.

This paper deals with the problem of synchronization of a class of continuous-time chaotic systems using the driveresponse concept. An adaptive observer-based response system is designed to synchronize with a given chaotic drive system whose dynamical model is subjected to unknown parameters. Using the Lyapunov stability theory an adaptation law is derived to estimate the unknown parameters. We...

Modifying the onset of homoclinic chaos. Abstract We analyze, by means of Melnikov method, the possibility of modifying the threshold of homoclinic chaos in general 1-dimensional problems, by introducing small periodic resonant modulations. We indicate in particular a prescription in order to increase the threshold (i.e. to prevent chaos), and consider then its application to the bistable Duffi...

In the Present manuscript we have investigate the Adaptive projective synchronization between different fractional order chaotic systemsusing modified adaptive control method with unknown parameters. The modified adaptive control method is very affective and more convenient in compression to the existing method for the synchronization of the fractional order chaotic systems. The chaotic attract...

Abstract. In this paper, a numerical solution for the system described by a generalized fractional Rikitake system is presented. The first step in the proposed procedure is represent the fractional order Rikitake system as an equivalent system of ordinary differential equations. In the second step, we solved the system obtained in the first step by using the well known fourth order Runge-Kutta ...

The anti-synchronization of identical Pan systems (Pan, Xu and Zhou, 2010) has been investigated in this paper and new results have been derived by sliding mode control. In this paper, we first derive a general result for the anti-synchronization of identical chaotic systems. As an application, we derive antisynchronizing sliding controller for identical Pan systems. A numerical example using M...

Traditional methods of signal analysis of one-dimensional data have limited use in unraveling how the movements of a musician in performance relate to the musical structure because performers’ movements are complex. Methods developed for the analysis of multi-dimensional chaotic systems, such as recurrence quantification analysis, are well suited to dealing with complex data of this type. We co...

This paper studies the performance of selected chaos-based communication systems whose spectrum overlaps with that of conventional narrowband systems. Such a scenario may occur in normal practice when chaos-based systems are introduced while the conventional systems are still in operation. The particular chaos-based systems under study are the coherent chaos-shift-keying (CSK) system and the no...

We carried out a fluid dynamical simulation for a forced dripping faucet system using a new algorithm that was recently developed. The simulation shows that periodic external forcing induces transitions from chaotic to periodic motion and vice versa. We further constructed an improved mass-sprig model for the same system on the basis of data obtained from the fluid dynamical computations. A det...