The Mathematical Institute, University of Oxford, Eprints Archive

Unstable periodic orbits of perturbed Lorenz equations

Moroz, I. M. (2005) Unstable periodic orbits of perturbed Lorenz equations. In: Fifth EUROMECH Nonlinear Dynamics Conference, 7-12 August 2005, Eindhoven, The Netherlands.

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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.

Item Type:Conference or Workshop Item (Paper)
Subjects:D - G > Dynamical systems and ergodic theory
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:200
Deposited By:Irene Moroz
Deposited On:21 Sep 2005
Last Modified:20 Jul 2009 14:19

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