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...

Chaotic signals are ultra-wideband signals that can be generated with simple circuits in any frequency bands at arbitrary power level. The ultra-wideband property of chaotic carriers is beneficial in indoor and mobile applications where multipath propagation limits the attainable bit error rate. Another possible application is the ultra-wideband (UWB) radio, where the spectrum of transmitted si...

In many applications such as fluid or solid modeling, chaotic noise may be cumbersome. Instead of estimating the Lyapunov exponent of the system, one may be interested in measuring the amplitude of the system’s chaotic noise in a unit better suited to the application, e.g., the amplitude (in mm) of the vibration of a solid’s surface. The goal of this study is to propose a method to achieve this...

Power electronics circuits are rich in nonlinear dynamics. Their operation is characterized by cyclic switching of circuit topologies, which gives rise to a variety of nonlinear behavior. This paper provides an overview of the chaotic dynamics and bifurcation scenarios observed in power converter circuits, emphasizing the salient features of the circuit operation and the modeling strategies. In...