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The design of Media Access Control (MAC) protocols for the IoT has become important owing to the rapid growth in the number of IoT devices. To realize efficient and large-scale wireless networks, autonomous distributed time division multiple access (TDMA) has been studied in previous research. We previously proposed a distributed TDMA suitable for the massive IoT network, which is based on the desynchronization phenomenon of a nonlinear oscillator network with intermittent and inhibitory couplings. In this paper, we propose a performance improvement method for our desynchronization method by changing the coupling functions of nonlinear oscillator networks. Our simulation results demonstrate that the convergence time to achieve a desynchronization state for TDMA communication can be reduced by modifying the coupling functions, such as the linear and cosinusoidal functions. [ABSTRACT FROM AUTHOR]