Polynomial chaos methods (and generalized polynomial chaos methods) have been extensively applied to analyze PDEs that contain uncertainties. However this approach is rarely applied to hyperbolic systems. In this paper we analyze the properties of the resulting deterministic system of equations obtained by stochastic Galerkin projection. We consider a simple model of a scalar wave equation with...

Quite a number of laser models with chaotic behavior have appeared recently. The most famous example is the Lorenz equations [I] which coincide with the equations for a single-mode laser [2,3] . In a similar system, chaos was numerically obtained by Grasyk and Oraevsky [4] . Multimode chaotic oscillations were reported for lasers with a saturable absorber [5] and without it [6]. In a number of ...

We discuss the concept of the quantum action with the purpose to characterize and quantitatively compute quantum chaos. As an example we consider in quantum mechanics a 2-D Hamiltonian system-harmonic oscillators with anharmonic coupling-which is classically a chaotic system. We compare Poincaré sections obtained from the quantum action with those from the classical action. 1. Introduction. The...

today we are facing with a turbulent world full of complexity and change. contemporary problems are too complicated for rational, logical solutions. they admit insights, not answers. chaos theory is a solution to reveal insights into the structure and the dynamics of complex systems. chaos theory is in formative stage, but we can use it in management practices. this article is about application...

We present an extensive numerical study of spectral statistics and eigenfunctions quantized triangular billiards. compute two million consecutive eigenvalues for six representative cases billiards, three with generic angles irrational ratios $\ensuremath{\pi}$, whose classical dynamics is presumably mixing, exactly one angle rational which are only weakly mixing or even nonergodic in case right...

In this paper, a new third-order chaotic system which has extremely multistability is constructed by introducing the boosted control of cosine function. comparison with other systems multistability, proposed can spontaneously generate infinitely many coexisting attractors towards two directions phase plane. It indicates output more sequences different amplitudes at same time. This peculiar phys...

analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. this paper compares the performance of chaos theory with anfis model and discusses ...

chaos theory discusses unstable and non-periodic behavior of non-linear fluctuating dynamicsystems. since evaporation level variations of lakes have a dynamic identity, chaos theory can have a uniquerole in collecting data of these variations. therefore it is an important and challenging problem in the field ofplanning and qualitative and quantitative management of urmia lake to verify whether ...

The Charged System Search (CSS) is combined to chaos to solve mathematical global optimization problems. The CSS is a recently developed meta-heuristic optimization technique inspired by the governing laws of physics and mechanics. The present study introduces chaos into the CSS in order to increase its global search mobility for a better global optimization. Nine chaos-based CSS (CCSS) methods...

The security of chaos communication system is superior to other digital communication system, because it has characteristics such as non-periodic, wide-band, nonpredictability, easy implementation and sensitive initial condition. Chaos sequences are non – periodic sequences which are sensitive to their initial conditions i.e. spread factor and time delay respectively. If many antennas are appli...