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APS » Journals » Phys. Rev. E » Volume 76 » Issue 6
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Phys. Rev. E 76, 061110 (2007) [4 pages]

Type of dynamic phase transition in bistable equations

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Gregory Berkolaiko*
Department of Mathematics, Texas A&M University, College Station, Texas 77843, USA

Michael Grinfeld†
Department of Mathematics, University of Strathclyde, Glasgow G1 1XH, United Kingdom

Received 31 May 2007; published 10 December 2007

We consider a class of bistable periodically perturbed ordinary differential equations of importance in mathematical physics and derive an asymptotic criterion for the existence of a tricritical point (TCP). Surprisingly, in the adiabatic limit the criterion is local and very simple. It also allows one to calculate the location of a TCP in parameter space, which we illustrate with three examples.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.76.061110
DOI:
10.1103/PhysRevE.76.061110
PACS:
05.70.Jk, 64.60.Kw, 75.10.Hk

*Gregory.Berkolaiko@math.tamu.edu

†michael@maths.strath.ac.uk

 
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