IJPAM: Volume 79, No. 2 (2012)

A MODEL FOR CO-DISCOVERY IN SCIENCE
BASED ON THE SYNCHRONIZATION OF GAUSS MAPS

Vicente Aboites$^1$, Vladimir Grigorevich Boltyanskii$^2$,
Mario Wilson$^3$
$^1$Center for Research in Optics
Loma del Bosque 115, León, 37150, MEXICO
$^2$Center for Research in Mathematics
Jalisco S/N, Guanajuato, 36240, MEXICO
$^3$Université des Sciences et Technologies de Lille
CNRS UMR 8523-UFR de Physique
59655, Villeneuve d'Ascq, FRANCE


Abstract. In this article we present an explanation for co-discovery in science. Our core proposal is that co-discovery i.e. the synchronization of different people offering the same (or very similar) ideas, takes place when a common external action is provided by an external and common information flux. In our mathematical model this external action takes the form of a chaotic or a noisy signal. From our model we obtain an estimation for the number of co-discoveries expected for the 21 $^{\mathrm{th}}$ century which will be in the order of thousands.

Received: August 14, 2012

AMS Subject Classification: 91C99, 37Mxx, 65Qxx

Key Words and Phrases: co-discovery, synchronization, Gauss maps

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 79
Issue: 2