Two fractional chaotic maps, Lu and Chen have been analyzed using an innovative predictor-corrector method based on a non-uniform grid. An original law to control the grid size at each iteration has introduced. The choice of was shown play fundamental role obtain behavior for larger parameter range, while decreasing computational time. obtained results show that complexity resulting system in t...

In this paper we consider a new type of bifurcation to chaotic motion. This bifurcation is characterized by the simultaneous appearance of a pair of unstable fixed points or periodic orbits, a, fractal (i.e., nondifferentiable) basin boundary, and a chaotic attractor (also commonly called a strange attractor). Just prior to this type of bifurcation, transient behavior with a chaotic character c...

We discuss consequences of a recent observation that the sequence of periodic orbits in a chaotic billiard behaves like a poissonian stochastic process on small scales. This enables the semiclassical form factor Ksc(τ) to agree with predictions of random matrix theories for other than infinitesimal τ in the semiclassical limit.

We consider the spectral correlations of clean globally hyperbolic (chaotic) quantum systems. Field theoretical methods are applied to compute quantum corrections to the leading (‘diagonal’) contribution to the spectral form factor. Far–reaching structural parallels, as well as a number of differences, to recent semiclassical approaches to the problem are discussed. PACS numbers: 03.65.Sq, 03.6...

Twoand three-pion correlation functions are investigated for a source that is not fully chaotic. Various models are examined to describe the source. The chaoticity and weight factor are evaluated in each model as measures of the strength of correlations and compared to experimental results. A new measure of three-pion correlation is also suggested. PACS number(s): 25.75.Gz Typeset using REVTEX 1

This research work describes a nine-term 3-D novel chaotic system with four quadratic nonlinearities. First, this work describes the dynamic analysis of the novel chaotic system and qualitative properties of the novel chaotic system are derived. The Lyapunov exponents of the nine-term novel chaotic system are obtained as L1 1⁄4 9:45456; L2 1⁄4 0 and L3 1⁄4 30:50532. Since the maximal Lyapunov e...

Risk factors are generally defined and assigned to road networks, as constant measures in hazmat routing problems. In fact, they may be dynamic variables depending on traffic volume, weather and road condition, and drivers' behavior. In this research work, risk factors are defined as dynamic variables using the concept of chaos theory. The largest Lyapunov exponent is utilized to determine the ...