Abstract
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.
- Received 31 May 2007
DOI:https://doi.org/10.1103/PhysRevE.76.061110
©2007 American Physical Society