Stabilizing Unstable Fixed Points Using Derivative Control

Parmananda, Punit; Eiswirth, Markus

doi:10.1021/jp9616371

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Stabilizing Unstable Fixed Points Using Derivative Control

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Parmananda, Punit
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Eiswirth, Markus
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Citation

Parmananda, P., & Eiswirth, M. (1996). Stabilizing Unstable Fixed Points Using Derivative Control. The Journal of Physical Chemistry, 100(41), 16568-16570. doi:10.1021/jp9616371.

Cite as: https://hdl.handle.net/21.11116/0000-0009-B579-3

Abstract

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.