Treffer: Geometric analysis of nondeterminacy in dynamical systems : Towards a geometric analysis of concurrent systems
Title:
Geometric analysis of nondeterminacy in dynamical systems : Towards a geometric analysis of concurrent systems
Authors:
Source:
Hybrid systemsActa informatica. 43(7):501-519
Publisher Information:
Berlin: Springer, 2007.
Publication Year:
2007
Physical Description:
print, 25 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Automatique théorique. Systèmes, Control theory. Systems, Théorie des systèmes, System theory, Analyse système, System analysis, Análisis sistema, Ensemble convexe, Convex set, Conjunto convexo, Equivalence, Equivalencia, Espace vectoriel, Vector space, Espacio vectorial, Homotopie, Homotopy, Homotopía, Informatique théorique, Computer theory, Informática teórica, Modèle dynamique, Dynamic model, Modelo dinámico, Point singulier, Singular point, Punto singular, Simultané, Concurrent, Simultáneo, Simultanéité informatique, Concurrency, Simultaneidad informatica, Système dynamique, Dynamical system, Sistema dinámico, Théorie système, Systems theory, Teoría sistema, Concurrence, Concurrent system, Système concurrent
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Electronic Systems, Aalborg University, Aalborg, Denmark
Department of Mathematical Sciences, Aalborg University, Aalborg, Denmark
Department of Mathematical Sciences, Aalborg University, Aalborg, Denmark
ISSN:
0001-5903
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.18548293
Database:
PASCAL Archive
Weitere Informationen
This article intends to provide some new insights into concurrency using ideas from the theory of dynamical systems. Inherently discrete concurrency corresponds to a parallel continuous concept: a discrete state space corresponds to a differential manifold, an execution path corresponds to a flow line of a dynamical system. To model non-determinacy within dynamical systems, we introduce a new geometrical object, a section cone. A section cone is a convex set in the space of vector fields, all elements having the same singular points. We show that it is enough to consider flow lines of a single vector field in order to capture the behavior of all flow lines in the section cone up to homotopy (corresponding to equivalence of executions).