  Birhythmicity arises in several physical, biological and chemical systems.
Although, many control schemes are proposed for various forms of
multistability, only a few exist for controlling birhythmicity. In this paper
we investigate the control of birhythmic oscillation by introducing a
self-feedback mechanism that incorporates the variable to be controlled and its
canonical conjugate. Using a detailed analytical treatment, bifurcation
analysis and experimental demonstrations we establish that the proposed
technique is capable of eliminating birhythmicity and generates monorhythmic
oscillation. Further, the detailed parameter space study reveals that, apart
from monorhythmicity, the system shows transition between birhythmicity and
other dynamical forms of bistability. This study may have practical
applications in controlling birhythmic behavior of several systems, in
particular in biochemical and mechanical processes.
