The universal template is a subtemplate of the double-scroll template

The universal template is a subtemplate of the double-scroll template

The double-scroll attractor that can be produced by a wide class of nonlinear electronic circuits is known to contain periodic orbits of all types under certain operating conditions. We identify the branched manifold that describes the double-scroll attractor under these operating conditions. We the...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2013-02, Vol.46 (6), p.65102-9
Hauptverfasser: Letellier, Christophe, Gilmore, Robert
Format: Artikel
Sprache:eng
Schlagworte:
Branched
branched manifold
Chua circuit
double-scroll attractor
Electric circuits
Electronic circuits
Manifolds
Mathematical analysis
Nonlinearity
Orbits
universal template
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Zusammenfassung:The double-scroll attractor that can be produced by a wide class of nonlinear electronic circuits is known to contain periodic orbits of all types under certain operating conditions. We identify the branched manifold that describes the double-scroll attractor under these operating conditions. We then show that Ghrist's universal template is embedded as a subtemplate in the double-scroll template.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/46/6/065102