In this paper we propose a new scheme for secure communications using a modified Chua oscillator. A modification of the oscillator is proposed in order to facilitate the decryption. The communication system requires two channels for transmitting the message. One of the channels transmits a chaotic signal generated by the oscillator and is used for synchronization. The second channel transmits t...

Adaptive feedback linearization control technique for chaos suppression in a chaotic system is proposed. The dynamics of the system is altered so that the closed loop model matches with a specified linear reference model. The controller parameters are assumed to be unknown and are evolved using an adaptation law that aims to drive these parameters towards their ideal values so as to achieve per...

The Internet routers employing the random early detection (RED) algorithm for congestion control suffer from the problem of chaotic queue oscillation. It is well known that the slowly varying nature of the average queue size computed using an exponentially weighted moving average (EWMA) used in the RED scheme causes this chaotic behavior. This paper presents a new mathematical function to model...

The interest in the properties of quantum systems, whose classical dynamics are chaotic, derives from their abundance in nature. The spectrum of such systems can be related, in the semiclassical approximation, to the unstable classical periodic orbits, through Gutzwiller’s trace formula. The class of systems studied in this work, tiling billiards on the pseudo-sphere, is special in this corresp...

The deterministic generation of pseudorandom sequences is not a trivial task. Quite the contrary; even chaotic functions are often poor pseudorandom sequence generators. Thus, given the range of applications that require random inputs and the cost of actual random number generating equipment, the establishment of reliable tests of randomness becomes necessary. To day, the spectral test seems to...

We analyze 2-dimensional chaotic forms resulting from very simple systems based on two chaotic characteristics that is rotation and parallel movement or translation in geometric terms. Re ection is another alternative, along with rotation, for several interesting chaotic formations. Rotation and translation are very common types of movements in the world around us. Chaotic or non-chaotic forms ...

Chaotic scattering in open Hamiltonian systems is relevant for different problems in physics. Particles in such kind of systems can exhibit both bounded or unbounded motions for which escapes from the scattering region can take place. This paper analyzes how to control the escape of the particles from the scattering region in the presence of noise. For that purpose, we apply the partial control...

In this paper we investigate mixing and transport in correspondence of a meandering jet. The large-scale flow field is a kinematically assigned streamfunction. Two basic mixing mechanisms are considered, first separately and then combined together: deterministic chaotic advection, induced by a time dependence of the flow, and turbulent diffusion, described by means of a stochastic model for par...

Both the chaotic mixers (Fig.1) adopt a two-layer overlapping channels structure, which is very efficient for fluid manipulations such as stretching and folding, splitting and recombination. Even at extremely low Re (~10), chaotic advection can be generated. Both particle tracing simulation (Fig. 2) and experimental results (Fig.3) show that as the fluids are driven through the mixer, striation...