Computational Schemes for Optimizing Domains of Attraction in Dynamical Systems

In this paper, several computational schemes are presented for the optimal tuning of the global behavior of nonlinear dynamical sys- tems. Specifically, the maximization of the size of domains of attraction associated with invariants in parametrized dynamical sys- tems is addressed. Cell Mapping (CM) tech- niques are used to estimate the size of the domains, and such size is then maximized via different optimization tools. First, a ge- netic algorithm is tested whose performance shows to be good for determining global maxima at the expense of high computa- tional cost. Secondly, an iterative scheme based on a Stochastic Approximation proce- dure (the Kiefer-Wolfowitz algorithm) is eval- uated showing acceptable performance at low cost. Finally, several schemes combining neu- ral network based estimations and optimiza- tion procedures are addressed with promising results. The performance of the methods is illus- trated with two applications: first on the well-known van der Pol equation with stan- dard parametrization, and second the tuning of a controller for saturated systems.

One or two poles of attraction in the international technological cooperation process?

In recent years, international cooperation processes have become a key mechanism for companies to internationalise their innovative activities, par ticularly in the case of small businesses whose size reduces their possibilities of developing internationalisation strategies autonomously in the same way as larger companies. In Spain, the existence of two parallel programmes with similar structures oriented towards Europe (EUREKA) and Latin America (IBEROEKA) raises the question as to whether the fact that companies participate in only one (unipolar) or both (bipolar) of these programmes is the result of a selection process, which, in turn, results in the existence of different collectives with different efficiency parameters. The aim of this study is to provide a comparative analysis based on the final reports of Spanish companies that have participated in the EUREKA programme. Two groups of companies were compared: one comprising companies that have only had international experience in Europe (EUREKA); and another formed by companies that have also carried out IBEROEKA projects. The conclusions confirm that the behaviour of both groups of companies differs substantially and reveal the importance of geographical perspective in the analysis of international cooperation in technology. This disparate behaviour is a relevant aspect that must be taken into account when designing policies to promote international technological cooperation.

Report upon the basin of the upper Nile with proposals for the improvement of that river

Mode of access: Internet.

Basin of Sultan Qaytbay

Metalwork, Islamic, Mamluk; 5 in.x 1 ft. 2 31/64 in.; brass, inlaid with silver

The Albert N'yanza, great basin of the Nile, and explorations of the Nile sources.

Mode of access: Internet.

Explorations in Turkestan : with an account of the basin of eastern Persia and Sistan. Expedition of 1903, under the direction of Raphael Pumpelly.

Mode of access: Internet.

A history of the mathematical theories of attraction and the figure of the earth from the time of Newton to that of Laplace.

Available on demand as hard copy or computer file from Cornell University Library.

The Albert N'yanza : great basin of the Nile, and explorations of the Nile sources /

Lib. Company. Afro-Americana,

The basin of the two scribes, folio from the Kitab fi ma'arifat al-hiyal al-handisaya (the book of knowledge of ingenious mechanical devices) Automata by al-Jazari

1 ft. 1/8 in.x 7 3/4 in.; ink, opaque watercolor and gold on paper

On the new Red Sandstone Series in the Basin of the Eden, and north-western coasts of Cumberland and Lancashire /

Reprint. Originally published: London : Geological Society of London. (Geol. trans. 2nd ser. ; v. 4).

Thought vibration; or, The law of attraction in the thought world,

Mode of access: Internet.

Report intended to illustrate a map of the hydrographical basin of the upper Mississippi river,

Map published in 1842.

Mixing Regimes in the Amundsen Basin of the Arctic Ocean

Thesis (Ph.D.)--University of Washington, 2016-06