Control of birhythmicity, and stochastic bifurcation in a self-sustaining system coupled to magnetic flux and driven by noise

The sensitivity of self-sustaining biological systems to external influences and the reaction environment has promted analytical and numerical analysis of the bifurcation of the birhythmic parameters of the self-sustaining system. Considering the influence of magnetic flux, analytically, the self-feedback method is applied to control the birhythmic zone of the solution map. As the intensity of the control coefficient increases, the birhythmic zone tends to disappear. The non-monotonic behavior and chaotic state observed on the stochastic bifurcation via the Fokker-Planck-Kolmogorov equation and the Lyapunov exponent are influenced by the magnetic flux. Gaussian white noise introduces an additional phenomenon of unpredictability into the system, causing it to enter various dynamic regimes, its combination with magnetic flux accentuates the control of the system’s parameters.