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Unstable periodic orbits of perturbed Lorenz equations

Abstract:
The extended Malkus-Robbins dynamo [Moroz, 2003] reduces to the Lorenz equations when one of the key parameters, $\beta$, vanishes. In a recent study [Moroz, 2004] investigated what happened to the lowest order unstable periodic orbits of the Lorenz limit as $\beta$ was increased to the end of the chaotic regime, using the classic Lorenz parameter values of r = 28; $\sigma$ = 10 and b = 8=3. In this paper we return to the parameter choices of [Moroz, 2003], reporting on two of the cases discussed therein.

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Publication date:
2005-01-01
URN:
uuid:6bfec5ce-dd5f-424f-8198-1d347b54208d
Local pid:
oai:eprints.maths.ox.ac.uk:200

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