TIME-DELAY INDUCED DEATH IN COUPLED LIMIT-CYCLE OSCILLATORS

We investigate the dynamical behavior of two limit cycle oscillators t hat interact with each other via time delayed coupling and find that t ime delay can lead to amplitude death of the oscillators even if they have the same frequency. We demonstrate that this novel regime of ampl itude ''death'' also exists for large collections of coupled identical oscillators and provide quantitative measures of this death region in the parameter space of coupling strength and time delay. Its implicat ion for certain biological and physical applications is also pointed o ut.