Hellen, Edward H. (Department of Physics & Astronomy, University of North Carolina Greensboro, Greensboro, North Carolina, USA)
Dana, Syamal K. (Indian Institute of Chemical Biology, Council of Scientific and Industrial Research, Kolkata, India)
Zhurov, Boris; Volkov, Evgenii (Department of Theoretical Physics, Lebedev Physical Institute, Moscow, Russia)
We investigate the dynamics of an electronic ring oscillator, analog of synthetic genetic repressilator (e-Rep), with quorum sensing (QS) feedback. We find: multi-stability of limit cycles (LC) with stable steadystate (SS); LCs with period-doubling and periodhalving; and infinite period bifurcation (IPB) transitions for both increasing and decreasing strength of QS feedback. The noise amplification near the IPB is demonstrated.