Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems

We study the classification of the hyperbolic singularities to 3-dimensional interval linear differential equations as an application of interval eigenvalues using the Constraint Interval Arithmetic (CIA). We also present the ideas to calculate the interval eigenvalues using the standard interval ar...

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Detalles Bibliográficos
Autores principales: Mizukoshi, Marina Tuyako, Jacquemard, Alain, Lodwick, Weldon Alexander
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274684/
http://dx.doi.org/10.1007/978-3-030-50143-3_2
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author Mizukoshi, Marina Tuyako
Jacquemard, Alain
Lodwick, Weldon Alexander
author_facet Mizukoshi, Marina Tuyako
Jacquemard, Alain
Lodwick, Weldon Alexander
author_sort Mizukoshi, Marina Tuyako
collection PubMed
description We study the classification of the hyperbolic singularities to 3-dimensional interval linear differential equations as an application of interval eigenvalues using the Constraint Interval Arithmetic (CIA). We also present the ideas to calculate the interval eigenvalues using the standard interval arithmetic.
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spelling pubmed-72746842020-06-08 Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems Mizukoshi, Marina Tuyako Jacquemard, Alain Lodwick, Weldon Alexander Information Processing and Management of Uncertainty in Knowledge-Based Systems Article We study the classification of the hyperbolic singularities to 3-dimensional interval linear differential equations as an application of interval eigenvalues using the Constraint Interval Arithmetic (CIA). We also present the ideas to calculate the interval eigenvalues using the standard interval arithmetic. 2020-05-15 /pmc/articles/PMC7274684/ http://dx.doi.org/10.1007/978-3-030-50143-3_2 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Mizukoshi, Marina Tuyako
Jacquemard, Alain
Lodwick, Weldon Alexander
Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems
title Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems
title_full Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems
title_fullStr Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems
title_full_unstemmed Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems
title_short Classification of Hyperbolic Singularities in Interval 3-Dimensional Linear Differential Systems
title_sort classification of hyperbolic singularities in interval 3-dimensional linear differential systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274684/
http://dx.doi.org/10.1007/978-3-030-50143-3_2
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AT jacquemardalain classificationofhyperbolicsingularitiesininterval3dimensionallineardifferentialsystems
AT lodwickweldonalexander classificationofhyperbolicsingularitiesininterval3dimensionallineardifferentialsystems

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