Journal of Physical Chemistry, Vol.100, No.41, 16568-16570, 1996
Stabilizing Unstable Fixed-Points Using Derivative Control
We report the stabilization of unstable fixed points (saddles) in model systems exhibiting bistability. Stabilization is achieved using the derivative control strategy proposed in a different context by Biewlaski et al. (Phys. Rev. 1993, A47, 3276). This strategy does not change the location of fixed points in the system, but does alter their stability (eigenvalues), enabling us to stabilize the previously unstable fixed points (saddles). Maintaining the dynamics on the saddle fixed point could be desirable in certain experimental systems.