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Investigation of Invariants of a Chemical Reaction System with Algorithms of Computer Algebra

Aybar, Ilknur Kusbeyzi; Aybar, O. Ozgur; Fercec, Brigita; Romanovski, Valery G.; Samal, Satya Swarup; Weber, Andreas


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/77039</identifier>
  <creators>
    <creator>
      <creatorName>Aybar, Ilknur Kusbeyzi</creatorName>
      <givenName>Ilknur Kusbeyzi</givenName>
      <familyName>Aybar</familyName>
      <affiliation>Yeditepe Univ, Fac Educ, TR-34755 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Aybar, O. Ozgur</creatorName>
      <givenName>O. Ozgur</givenName>
      <familyName>Aybar</familyName>
      <affiliation>Piri Reis Univ, Fac Engn, TR-34940 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Fercec, Brigita</creatorName>
      <givenName>Brigita</givenName>
      <familyName>Fercec</familyName>
    </creator>
    <creator>
      <creatorName>Romanovski, Valery G.</creatorName>
      <givenName>Valery G.</givenName>
      <familyName>Romanovski</familyName>
    </creator>
    <creator>
      <creatorName>Samal, Satya Swarup</creatorName>
      <givenName>Satya Swarup</givenName>
      <familyName>Samal</familyName>
      <affiliation>Univ Bonn, Dept Comp Sci 2, D-53113 Bonn, Germany</affiliation>
    </creator>
    <creator>
      <creatorName>Weber, Andreas</creatorName>
      <givenName>Andreas</givenName>
      <familyName>Weber</familyName>
      <affiliation>Univ Bonn, Dept Comp Sci 2, D-53113 Bonn, Germany</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Investigation Of Invariants Of A Chemical Reaction System With Algorithms Of Computer Algebra</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2015</publicationYear>
  <dates>
    <date dateType="Issued">2015-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/77039</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.77038</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.77039</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">In this paper the qualitative study of a reversible chemical reaction model represented by a three-dimensional system of ordinary differential equations with nine parameters is performed. Algebraic invariant surfaces of the system are obtained by using methods of computational algebra. Then we look for singular points on the invariant surfaces and study their stability and bifurcations. Finally numerical simulations which confirm our theoretical results are presented. The study is carried out with help of computer algebra systems SINGULAR and MATHEMATICA.</description>
  </descriptions>
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