Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space
We develop a theory for sensitivity with respect to parameters ina convex subset of a topological vector space of dynamical systemsin a Banach space. Specific motivating examples for probabilitymeasure dependent differential, partial differential and delaydifferential equations are given. Schemes th...
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| Format: | Article |
| Language: | English |
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AIMS Press
2007-04-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.403 |
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| author | H.T. Banks S. Dediu H.K. Nguyen |
| author_facet | H.T. Banks S. Dediu H.K. Nguyen |
| author_sort | H.T. Banks |
| collection | DOAJ |
| description | We develop a theory for sensitivity with respect to parameters ina convex subset of a topological vector space of dynamical systemsin a Banach space. Specific motivating examples for probabilitymeasure dependent differential, partial differential and delaydifferential equations are given. Schemes that approximate themeasures in the Prohorov sense are illustrated with numericalsimulations for distributed delay differential equations. |
| format | Article |
| id | doaj-art-a5f9ff7f8663499faf019a9c48c844e0 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2007-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a5f9ff7f8663499faf019a9c48c844e02025-01-24T01:53:48ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-04-014340343010.3934/mbe.2007.4.403Sensitivity of dynamical systems to parameters in a convex subset of a topological vector spaceH.T. Banks0S. Dediu1H.K. Nguyen2Center for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NCCenter for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NCCenter for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NCWe develop a theory for sensitivity with respect to parameters ina convex subset of a topological vector space of dynamical systemsin a Banach space. Specific motivating examples for probabilitymeasure dependent differential, partial differential and delaydifferential equations are given. Schemes that approximate themeasures in the Prohorov sense are illustrated with numericalsimulations for distributed delay differential equations.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.403nonlinear dynamical systems with uncertain parametersdifferential equations with distributional delayssensitivity with respect to probability measuresapproximation. |
| spellingShingle | H.T. Banks S. Dediu H.K. Nguyen Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space Mathematical Biosciences and Engineering nonlinear dynamical systems with uncertain parameters differential equations with distributional delays sensitivity with respect to probability measures approximation. |
| title | Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space |
| title_full | Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space |
| title_fullStr | Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space |
| title_full_unstemmed | Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space |
| title_short | Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space |
| title_sort | sensitivity of dynamical systems to parameters in a convex subset of a topological vector space |
| topic | nonlinear dynamical systems with uncertain parameters differential equations with distributional delays sensitivity with respect to probability measures approximation. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.403 |
| work_keys_str_mv | AT htbanks sensitivityofdynamicalsystemstoparametersinaconvexsubsetofatopologicalvectorspace AT sdediu sensitivityofdynamicalsystemstoparametersinaconvexsubsetofatopologicalvectorspace AT hknguyen sensitivityofdynamicalsystemstoparametersinaconvexsubsetofatopologicalvectorspace |