Ó Cairbre, Fiacre and O'Farrell, A.G. and O'Reilly, A. (1995) Bistability, Bifurcation and Chaos in a Laser System. International Journal of Bifurcation and Chaos (IJBC), 5 (4). pp. 1021-1031. ISSN 1793-6551

Download (167kB)

Abstract

The purpose of the present investigation was to determine rigourously the parameter ranges for instability, bistability, and especially chaos in the system. The approach used was analytical. Maple, Mathematica and purpose–written programs in C and MODULA-2 were employed for symbolic manipulation, emulation, curve– and surface– sketching, root–solving, and estimation. This approach enabled us to identify parameter values for which an extensive range of pathological behaviour is exhibited, including various kinds of chaos. Emulation proved consistent with these findings.

Item Type:	Article
Additional Information:	Electronic version of an article published as [International Journal of Bifurcation and Chaos (IJBC), Vol.5, Iss.4, 1995, pp.1021-1031, DOI:10.1142/S0218127495000764. © copyright World Scientific Publishing Company. http://www.worldscinet.com/ijbc/ijbc.shtml
Keywords:	Laser system; Instability; Stability; Bistability; Multistability; Chaos; Stable pulsing.
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	1810
Identification Number:	https://doi.org/10.1142/S0218127495000764
Depositing User:	Prof. Anthony O'Farrell
Date Deposited:	25 Jan 2010 15:43
Journal or Publication Title:	International Journal of Bifurcation and Chaos (IJBC)
Publisher:	World Scientific Publishing
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

Repository Staff Only(login required)

Item control page

Downloads

Origin of downloads