The phenomenon of chaotic system synchronization is very interesting because of its high potential of applications. In this paper results from various synchronization schemes in the form of a survey articles with a tutorial emphasis has been presented. Chaotic dynamical systems having features such as sensitive dependence on initial conditions and topological mixing along with periodic dense or...

We calculate the Landauer conductance through chaotic ballistic devices in the semiclassical limit, to all orders in the inverse number of scattering channels without and with a magnetic field. Families of pairs of entrance-to-exit trajectories contribute, similarly to the pairs of periodic orbits making up the small-time expansion of the spectral form factor of chaotic dynamics. As a clue to t...

Artificial Bee Colony algorithm is an optimization algorithm based on the intelligent behavior of honey bee swarm. This paper presents Bee Swarm Optimization intended to introduce chaotic sequences and psychology factor of emotion into the algorithm. We define two emotions Bees could have, positive and negative, and correspond to two reaction to perception respectively. For avoiding premature c...

Optical resonances of a metallically coated wave-chaotic microcavity are investigated. Mode with low-contrast quality factor and distinct field patterns demonstrated. Unlike the in dielectric chaotic-wave cavity where refractive escape leads high optical loss, hold factors low loss induced by metal dissipation. As potential application, could be used for semiconductor laser source dense modes l...

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...

This paper deals with the critical issue of approximating the pre-exponential factor in semiclassical molecular dynamics. The pre-exponential factor is important because it accounts for the quantum contribution to the semiclassical propagator of the classical Feynman path uctuations. Preexponential factor approximations are necessary when chaotic or complex systems are simulated. We introduced ...

We discuss the number variance 2 (L) and the spectral form factor F() of the energy levels of bound quantum systems whose classical counterparts are strongly chaotic. Exact periodic{orbit representations of 2 (L) and F() are derived which explain the breakdown of universality, i. e., the deviations from the predictions of random{matrix theory. The relation of the exact spectral form factor F() ...