Location: Deterministic Nonperiodic Flow @ 943c15bc136e / Lorenz_1963.cellml

Author:
Randall Britten <r.britten@auckland.ac.nz>
Date:
2011-09-19 15:00:19+12:00
Desc:
Minor changes in order to make it valid SED-ML. Used validator ("http://minakata.dyndns.org/SED-ML Web Tools/") and automatic fix tool, as well as editing by hand.
Permanent Source URI:
https://models.cellml.org/w/randall/Lorenz_1963/rawfile/943c15bc136e7353cbac583d268a454f9301df38/Lorenz_1963.cellml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="Lorenz_1963" name="Lorenz_1963">
    <component name="Main">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x</ci>
                </apply>
                <apply>
                    <times/>
                    <ci>sigma</ci>
                    <apply>
                        <minus/>
                        <ci>y</ci>
                        <ci>x</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>y</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>x</ci>
                        <apply>
                            <minus/>
                            <ci>rho</ci>
                            <ci>z</ci>
                        </apply>
                    </apply>
                    <ci>y</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>z</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>x</ci>
                        <ci>y</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>beta</ci>
                        <ci>z</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>rho</ci>
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">28</cn>
            </apply>
            <apply>
                <eq/>
                <ci>sigma</ci>
                <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">10</cn>
            </apply>
            <apply>
                <eq/>
                <ci>beta</ci>
                <apply>
                    <divide/>
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">8</cn>
                    <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">3</cn>
                </apply>
            </apply>
        </math>
        <variable name="t" units="dimensionless"/>
        <variable cmeta:id="Main_x" initial_value="0" name="x" units="dimensionless"/>
        <variable cmeta:id="Main_y" initial_value="1" name="y" units="dimensionless"/>
        <variable cmeta:id="Main_z" initial_value="1.05" name="z" units="dimensionless"/>
        <variable name="beta" units="dimensionless"/>
        <variable name="rho" units="dimensionless"/>
        <variable name="sigma" units="dimensionless"/>
    </component>

    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description rdf:nodeID="n1">
            <rdf:first>
                <rdf:Description rdf:nodeID="n2"/>
            </rdf:first>
            <rdf:rest>
                <rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/>
            </rdf:rest>
        </rdf:Description>
        <rdf:Description rdf:nodeID="n2">
            <algorithm xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">bdf15</algorithm>
            <tabInt xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">true</tabInt>
            <pointDensity xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">10000000</pointDensity>
            <endingValue xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">30</endingValue>
            <tabStrict xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">true</tabStrict>
        </rdf:Description>
        <rdf:Description rdf:nodeID="n3">
            <boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#">
                <rdf:Description rdf:nodeID="n1"/>
            </boundIntervals>
        </rdf:Description>
        <rdf:Description rdf:about="#Lorenz_1963">
            <simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#">
                <rdf:Description rdf:nodeID="n3"/>
            </simulation>
        </rdf:Description>
    </rdf:RDF>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
        <rdf:Description rdf:about="">
            <dc:creator rdf:parseType="Resource">
                <vCard:N rdf:parseType="Resource">
                    <vCard:Family>Britten</vCard:Family>
                    <vCard:Given>Randall</vCard:Given>
                    <vCard:Other>Darrow</vCard:Other>
                </vCard:N>
                <vCard:EMAIL rdf:parseType="Resource">
                    <rdf:value>r.britten@auckland.ac.nz</rdf:value>
                    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
                </vCard:EMAIL>
                <vCard:ORG rdf:parseType="Resource">
                    <vCard:Orgname>The University of Auckland</vCard:Orgname>
                    <vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
                </vCard:ORG>
            </dc:creator>
            <dcterms:created rdf:parseType="Resource">
                <dcterms:W3CDTF>2011-09-07</dcterms:W3CDTF>
            </dcterms:created>
        </rdf:Description>
        <rdf:Description rdf:about="#Lorenz_1963">
            <bqs:reference rdf:parseType="Resource">
                <dc:subject rdf:parseType="Resource">
                    <bqs:subject_type>keyword</bqs:subject_type>
                    <rdf:value>
                        <rdf:Bag>
                            <rdf:li>classical</rdf:li>
                        </rdf:Bag>
                    </rdf:value>
                </dc:subject>
            </bqs:reference>
            <bqs:reference rdf:parseType="Resource">
                <bqs:JournalArticle rdf:parseType="Resource">
                    <dc:creator>
                        <rdf:Seq>
                            <rdf:li rdf:parseType="Resource">
                                <bqs:Person rdf:parseType="Resource">
                                    <vCard:N rdf:parseType="Resource">
                                        <vCard:Family>Lorenz</vCard:Family>
                                        <vCard:Given>Edward</vCard:Given>
                                        <vCard:Other>Norton</vCard:Other>
                                    </vCard:N>
                                </bqs:Person>
                            </rdf:li>
                        </rdf:Seq>
                    </dc:creator>
                    <dc:title>
            Deterministic Nonperiodic Flow
                    </dc:title>
                    <dcterms:issued rdf:parseType="Resource">
                        <dcterms:W3CDTF>1963-03-01</dcterms:W3CDTF>
                    </dcterms:issued>
                    <bqs:Journal rdf:parseType="Resource">
                        <dc:title>Journal of Atmospheric Science</dc:title>
                    </bqs:Journal>
                    <bqs:volume>20</bqs:volume>
                    <bqs:first_page>130</bqs:first_page>
                    <bqs:last_page>141</bqs:last_page>
                </bqs:JournalArticle>
            </bqs:reference>
        </rdf:Description>
    </rdf:RDF>
    
</model>