Synchronization of Spin-Torque Oscillators via Continuation Method

In this paper we study synchronization phenomena of spin-torque oscillators coupled on a ring. Spin-torque are nanoelectronic devices that promise efficient microwave generation provided they synchronized in large arrays. Due to their nonlinear and non-isochronous nature, properties difficult analyse explicitly. To address challenge, employ recently developed continuation method transform the network (each described by an ordinary differential equation) into single partial equation (PDE). We then PDE two cases: when all identical there different types oscillators. case oscillators, characterize possible synchronous solutions provide necessary sufficient conditions for stability. For non-identical derive solve condition, which allows us accurately reconstruct shape equilibrium profiles. All presented results derived validated numerical simulations original ODEs.