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, , vanishes. In a recent study [Moroz, 2004] investigated what happened to the lowest order unstable periodic orbits of the Lorenz limit as
was increased to the end of the chaotic regime, using the classic Lorenz parameter values of r = 28;
= 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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