In many scientific applications, arrays containing data are indirectly indexed through indirection arrays. Such scientific applications are called irregular programs and are a distinct class of applications that require special techniques for parallelization. This paper presents a library called CHAOS, which helps users implement irregular programs on distributed memory message-passing machines...

Computer networks require sophisticated control mechanisms to realize fair resource allocation among users in conjunction with efficient resource usage. To successfully realize fair resource allocation in a network, someone should control the behavior of each user by considering fairness. To provide efficient resource utilization, someone should control the behavior of all users by considering ...

Chaos should occur often in gene regulatory networks (GRNs) which have been widely described by nonlinear coupled ordinary differential equations, if their dimensions are no less than 3. It is therefore puzzling that chaos has never been reported in GRNs in nature and is also extremely rare in models of GRNs. On the other hand, the topic of motifs has attracted great attention in studying biolo...

This article presents a comprehensive review of chaos embedded meta-heuristic optimization algorithms and describes the evolution of this algorithms along with some improvements, their combination with various methods as well as their applications. The reported results indicate that chaos embedded algorithms may handle engineering design problems efficiently in terms of precision and convergenc...

‎in this text we prove that in generalized shift dynamical system $(x^gamma,sigma_varphi)$‎ ‎for finite discrete $x$ with at least two elements‎, ‎infinite countable set $gamma$ and‎ ‎arbitrary map $varphi:gammatogamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(x^gamma,sigma_varphi)$ is‎ li-yorke chaotic;‎ - the dynamical system $(x^gamma,sigma_varphi)$ has‎ an scr...

if we accept this idea that in talking about art, there is a chasm between thought and unthought debating on art theory in the sociohistorical context of after revolutionary iran requires at least two items in which understanding and creating art meet one another: 1) art as door separates intelligible from sensible, rational from irrational, and logos from pathos as well and 2) art as bridge no...

In this paper we study the dynamics of the family of complex maps given by fλ(z) = z n + λ/(zh(z − a)d) where n, h and d are integers such that 1/n+1/h < 1 and d ≥ 1 and the pole a lies outside the unit circle. The parameter λ is complex and arbitrarily small. In spite of the large number of possibilities we prove that the Julia set of fλ(z) consists of a countable collection of Cantor sets of ...

The proof, established in a recent paper (A.J. Devaney, “Nonradiating surface sources”, J. Opt. Soc. Am. A, Vol. 21, 2216-2222, 2004), of existence of nonradiating surface sources formed by singlet plus doublet components whose generated fields vanish in either of the regions separated by a closed or infinite surface where the source resides is corroborated by means of an equivalent but slightl...

This paper surveys some recent results about chaos induced by snap-back repellers and its applications to anti-control of chaos (or, chaotification). Several criteria of chaos induced by snap-back repellers in finite and infinite dimensional dynamical systems are introduced. Some successful applications are given to chaotification problems for finite and infinitedimensional discrete dynamical s...

Nowadays, chaos theory, turbulence and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence (chaos and turbulence engineering), 2. rough dependence on initial data – short term unpredictability (turbulence physics), 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of p...