Broken symmetry in modified Lorenz model
by Ilham Djellit; Brahim Kilani; Julien Clinton Sprott
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 5, No. 2, 2015

Abstract: The Lorenz model is of interest because of its abundant bifurcations and dynamical phenomena, due largely to the presence of critical sets or non-definition sets. The model is investigated as a three-parameter quadratic family. This paper further develops and refines a study of its basins of attraction and it is explained by using two types of non-classical singularity sets. This has an important impact on the number of preimages and shows the essential role played by the vanishing denominator in the inverses. A deeper analysis of the global dynamic properties of the model in the parameter ranges, where three steady states exist, reveals the role of symmetry with an interesting and complex dynamic structure.

Online publication date: Mon, 15-Jun-2015

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Dynamical Systems and Differential Equations (IJDSDE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com