  We present an adaptive coupling strategy to induce hysteresis/explosive
synchronization (ES) in complex networks of phase oscillators
Sakaguchi-Kuramoto model). The coupling strategy ensures explosive
synchronization with significant explosive width enhancement. Results show the
robustness of the strategy and the strategy can diminish (by inducing enhanced
hysteresis loop) the contrarian impact of phase frustration in the network,
irrespective of network structure or frequency distributions. Additionally, we
design a set of frequency for the oscillators which eventually ensure complete
in-phase synchronization behavior among these oscillators (with enhanced
explosive width) in the case of adaptive-coupling scheme. Based on a mean-field
analysis, we develop a semi-analytical formalism, which can accurately predict
the backward transition of synchronization order parameter.
