Features of the mutual synchronization of nanooscillators

In this work, we investigate the mutual synchronization dynamics in the system of two coupled by spin-waves spin transfer nanooscillators (STNOs). We artificially introduce a leader in the network by passing through it the high density of electrical current, which gives the large energy level (large amplitude of oscillations). We identify that the introduction of a leader, an oscillator having large energy level, in the network induces a profound change in the critical interpillar distances on which mutual synchronization occurs as a function of their radius mismatch for different type of network topologies. We calculate the synchronization badwidth between coupled STNOs We find that the emergence of a leader leads to the reduction of synchronization time. We illustrate different type of nonlinear behavior of the two-coupled STNOs with a leader using phase portraits.