Detuning-dependent dominance of oscillation death in globally coupled synthetic genetic oscillatorsA. Koseska1, E. Volkov2 and J. Kurths1, 3, 4
1 Center for Dynamics of Complex Systems, University of Potsdam - D-14469 Potsdam, Germany, EU
2 Department Theoretical Physics, Lebedev Physical Institute - Leninskii 53, Moscow, Russia
3 Institute of Physics, Humboldt University Berlin - D-10099 Berlin, Germany, EU
4 Potsdam Institute for Climate Impact Research - D-14412 Potsdam, Germany, EU
received 10 September 2008; accepted in final form 19 December 2008; published January 2009
published online 30 January 2009
We study dynamical regimes of globally coupled genetic relaxation oscillators in the presence of small detuning. Using bifurcation analysis, we find that under strong coupling via the slow variable, the detuning can eliminate standard oscillatory solutions in a large region of the parameter space, providing the dominance of oscillation death. This result is substantially different from previous results on oscillation quenching, where for homogeneous populations, the coexistence of oscillation death and limit cycle oscillations is always present. We propose further that this effect of detuning-dependent dominance could be a powerful regulator of genetic network's dynamics.
87.18.-h - Biological complexity.
87.18.Gh - Cell-cell communication; collective behavior of motile cells.
05.45.-a - Nonlinear dynamics and chaos.
© EPLA 2009