About: Structure and Dynamics of Polynomial Dynamical Systems

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Structure and Dynamics of Polynomial Dynamical Systems Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Structure and Dynamics of Polynomial Dynamical Systems
Creator	Laubenbacher, Reinhard Murrugarra, David Veliz-Cuba, Alan
source	ArXiv
abstract	Discrete models have a long tradition in engineering, including finite state machines, Boolean networks, Petri nets, and agent-based models. Of particular importance is the question of how the model structure constrains its dynamics. This paper discusses an algebraic framework to study such questions. The systems discussed here are given by mappings on an affine space over a finite field, whose coordinate functions are polynomials. They form a general class of models which can represent many discrete model types. Assigning to such a system its dependency graph, that is, the directed graph that indicates the variable dependencies, provides a mapping from systems to graphs. A basic property of this mapping is derived and used to prove that dynamical systems with an acyclic dependency graph can only have a unique fixed point in their phase space and no periodic orbits. This result is then applied to a published model of in vitro virus competition.
has issue date	2011-07-31(xsd:dateTime)
has license	arxiv
sha1sum (hex)	767622f570a69699aa4ee0560f4015a9f337ca09
resource representing a document's title	Structure and Dynamics of Polynomial Dynamical Systems
resource representing a document's body	covid:767622f570a69699aa4ee0560f4015a9f337ca09#body_text
is schema:about of	named entity 'models' named entity 'affine space' named entity 'dependency graph' named entity 'published' named entity 'USED' »more»

Faceted Search & Find service v1.13.91 as of Mar 24 2020

Alternative Linked Data Documents: Sponger | ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3229 as of Jul 10 2020, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (94 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software