Tracking Unstable Periodic Orbits in a Model for Electrochemical Corrosion

Parmananda, Punit

doi:10.1002/bbpc.19961000112

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Tracking Unstable Periodic Orbits in a Model for Electrochemical Corrosion

MPS-Authors

/persons/resource/persons21942

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

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Parmananda, P. (1996). Tracking Unstable Periodic Orbits in a Model for Electrochemical Corrosion. Berichte der Bunsen-Gesellschaft, 100(1), 65-67. doi:10.1002/bbpc.19961000112.

Cite as: https://hdl.handle.net/21.11116/0000-0009-B55C-4

Abstract

We continuously track the unstable period one orbit through various bifurcations in a numerical model for electrochemical corrosion. The tracking strategy used is a combination of a continuation method and the map-based control strategy (SPF) [1, 2] to stabilise periodic orbits in deterministic chaotic systems. After achieving control on the unstable periodic orbit using the control strategy (SPF), we use a continuation method to maintain control on the orbit as one of the system parameters is allowed to drift. This allows us to track the stabilised orbit over long ranges of parameters and through various bifurcations. Tracking could prove to be advantageous in controlling the dynamical behavior of experimental situations where the system response drifts with time