Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Effect of filtered feedback on birhythmicity: Suppression of birhythmic oscillation


Biswas,  D.
External Organizations;

Banerjee,  T.
External Organizations;


Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

External Ressource
No external resources are shared
Fulltext (public)
There are no public fulltexts stored in PIKpublic
Supplementary Material (public)
There is no public supplementary material available

Biswas, D., Banerjee, T., Kurths, J. (2019): Effect of filtered feedback on birhythmicity: Suppression of birhythmic oscillation. - Physical Review E, 99, 6, 062210.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_23620
The birhythmic oscillation, generally known as birhythmicity, arises in a plethora of physical, chemical, and biological systems. In this paper we investigate the effect of filtered feedback on birhythmicity as both are relevant in many living and engineering systems. We show that the presence of a low-pass filter in the feedback path of a birhythmic system suppresses birhythmicity and supports monorhythmic oscillations depending on the filtering parameter. Using harmonic decomposition and energy balance methods we determine the conditions for which birhythmicity is removed. We carry out a detailed bifurcation analysis to unveil the mechanism behind the quenching of birhythmic oscillations. Finally, we demonstrate our theoretical findings in analog simulation with electronic circuit. This study may have practical applications in quenching birhythmicity in several biochemical and physical systems.