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The effects of periodically modulated coupling on amplitude death in twocoupled nonidentical oscillators are explored. The AD domain could besignificantly influenced by tuning the modulation amplitude and the modulationfrequency of the modulated coupling strength. There is an optimal value ofmodulation amplitude for the modulated coupling with which the largest ADdomain is observed in the parameter space. The AD domain is enlarged with thedecrease of the modulation frequency for a given small modulation amplitude,while is shrunk with decrease of the modulation frequency for a given largemodulation amplitude. The mechanism of AD in the presence of periodicmodulation in the coupling is investigated via the local condition Lyapunovexponent of the coupled system. The stability of AD state can be wellcharacterized by conditional Lyapunov exponent. The coupled system experiencingfrom the oscillatory state to AD is clearly indicated by the observation thatthe conditional Lyapunov exponent transits from positive to negative. Ourresults are helpful to many potential applications for the research ofneuroscience and dynamical control in engineering.

Effects of periodically modulated coupling on amplitude death in nonidentical oscillators