Saturday 10 January 2009

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 32-112
Full Name: Serban Vlad
Position: Doctor (Researcher)
Age: ON
Sex: Male
Address: Str. Zimbrului, Nr. 3, Bl. PB68, Ap. 11, 410430, Oradea
Country: ROMANIA
Tel: 259479113
Tel prefix: 0040
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E-mail address: serban_e_vlad@yahoo.com
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Title of the Paper: Universal regular autonomous asynchronous systems: fixed points, equivalencies and dynamical bifurcations
Authors as they appear in the Paper: Serban Vlad
Email addresses of all the authors: serban_e_vlad@yahoo.com
Number of paper pages: 10
Abstract: The asynchronous systems are the non-deterministic models of the asynchronous circuits from the digital electrical engineering. In the autonomous version, such a system is a set of functions x:R->{0,1}x...x{0,1} called states (R is the time set). If the asynchronous system is defined by making use of a so-called generator function F:{0,1}x...x{0,1}->{0,1}x...x{0,1}, then it is called regular. The property of universality means the greatest in the sense of the inclusion. The purpose of the paper is that of defining and characterizing the fixed points, the equivalencies and the dynamical bifurcations of the universal regular autonomous asynchronous systems. We use analogies with the dynamical systems theory.
Keywords: Asynchronous system, Orbit, Nullclin, Transitivity, Fixed point, Structural stability, Dynamical bifurcation
EXTENSION of the file: .doc
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