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		<identifier>oai:lib.psnc.pl:515</identifier>
	    <datestamp>2014-07-29T13:35:57Z</datestamp>
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<dc:creator xml:lang="pl"><![CDATA[Hoover Wm. G.]]></dc:creator>
<dc:description xml:lang="pl"><![CDATA[Poznań]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[We consider an harmonic oscillator in a thermal gradient far from equilibrium. The motion is made ergodic and fully time-reversible through the use of two thermostat variables. The equations of motion contain both linear and quadratic terms. The dynamics is chaotic. The resulting phase-space distribution is not only complex and multifiactal, but also ergodic, due to the time-reversibility property. We analyze dynamical time series in two ways. We describe local, but comoving, singularities in terms of the "local Lyapunov spectrum" {λ}. Local singularities at a particular phase-space point can alternatively be described by the local eigenvalues and eigenvectors of the "dynamical matrix" D=Əv/Ər=∆v. D is the matrix of derivates of the equations of motion r=v(r). We pursue this eigenvalue-eigenvector description for the oscillator. We find that it breaks down at a dense set of singular points, where the four eigenvectors span only a three-dimensional subspace. We believe that the concepts of stable and unstable global manifolds are problematic for this simple nonequilibrium system.]]></dc:description>
<dc:publisher xml:lang="pl"><![CDATA[OWN]]></dc:publisher>
<dc:contributor xml:lang="pl"><![CDATA[Hoover C.G, Posch H.A.]]></dc:contributor>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
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<dc:identifier><![CDATA[https://lib.psnc.pl/dlibra/publication/edition/515/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:lib.psnc.pl:515]]></dc:identifier>
<dc:identifier><![CDATA[http://lib.psnc.pl/Content/515/10.12921_cmst.2001.07.01.55-65_Hoover.pdf]]></dc:identifier>
<dc:language xml:lang="pl"><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:lib.psnc.pl:publication:611]]></dc:relation>
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