Multiplicity of periodic solutions in bistable systems
Berkolaiko, G. and Grinfeld, M. (2006) Multiplicity of periodic solutions in bistable systems. Proceedings A: Mathematical, Physical and Engineering Sciences, 462 (2067). pp. 10011019. ISSN 13645021

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Abstract
We study the number of periodic solutions in two firstorder nonautonomous differential equations, both of which have been used to describe, among other things, the mean magnetization of an Ising magnet in a timevarying external magnetic field. When the amplitude of the external field is increased, the set of periodic solutions undergoes a bifurcation in both equations. We prove that despite superficial similarities between the equations, the character of the bifurcation can be very different. This results in a different number of coexisting stable periodic solutions in the vicinity of the bifurcation. As a consequence, in one of the models, the SuzukiKubo equation, one can effect a discontinuous change in magnetization by adiabatically varying the amplitude of the magnetic field.
Item type:  Article 

ID code:  4545 
Keywords:  bistability, suzukikubo equation, mathematics, bistable systems, Mathematics 
Subjects:  Science > Mathematics 
Department:  Faculty of Science > Mathematics and Statistics Faculty of Science > Mathematics and Statistics > Mathematics 
Depositing user:  Strathprints Administrator 
Date Deposited:  23 Jul 2008 
Last modified:  29 Apr 2016 15:51 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/4545 