Chaotic advection in three-dimensional unsteady incompressible laminar flow By J U L Y A N H. E. C A R T W R I G H T1;2y , M A R I O F E I N G O L D3z , AND O R E S T E P I R O1;4{ 1Departament de Fı́sica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain. 2Centre de Càlcul i Informatització, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain. 3Department of Physics,...

We study the occurence of delay mechanisms other than periodic orbits in systems with time dependent potentials that exhibit chaotic scattering. By using as model system two harmonically oscillating disks on a plane, we have found the existence of a mechanism not related to the periodic orbits of the system, that delays trajectories in the scattering region. This mechanism creates a fractal-lik...

Cuspy triaxial potentials admit a large number of chaotic orbits, which moreover exhibit extreme “stickiness” that makes the process of chaotic mixing surprisingly inefficient. Environmental effects, modeled as noise and/or periodic driving, help accelerate phase space transport but probably not as much as in simpler potentials. This could mean that cuspy triaxial ellipticals cannot exist as ti...

Experiments and theory characterize the novel chaotic neoclassical transport scaling as νcB in contrast to traditional collisional neoclassical transport scaling as ν 1/2 c B−1/2. This chaotic transport occurs when local trapping separatrices have θ-variations or temporal fluctuations. Experiments observe bulk particle transport, damping of Langmuir waves and diocotron waves, and nonlinear wave...

In recent years chaotic secure communication and chaos synchronization have received ever increasing attention. Unfortunately, despite the advantages of chaotic systems, Such as, noise-like correlation, easy hardware implementation, multitude of chaotic modes, flexible control of their dynamics, chaotic self-synchronization phenomena and potential communication confidence due to the very dynami...

The problem discussed in this paper is the effect of latency time on the OGY chaos control methodology in multi chaotic systems. The Smith predictor, rhythmic and memory strategies are embedded in the OGY chaos control method to encounter loop latency. A comparison study is provided and the advantages of the Smith predictor approach are clearly evident from the closed loop responses. The comple...

chaotic systems are nonlinear dynamic systems, the main feature of which is high sensitivity to initial conditions. to initiate a design process in fuzzy model, chaotic systems must first be represented by t-s fuzzy models. in this paper, a new fuzzy modeling method based on sector nonlinearity approach has been recommended for chaotic systems relating to initial condition variations using the ...

different methods arising from scientific investigation for removing noise from chaotic signals have been introduced and one of their best is local projection approach. the local projection approach projects the chaotic data in the neighborhood onto the hyper-plane. selection of neighborhood radius has a direct impact on its performance. a noticeable feature associated with chaotic trajectories...