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Synchronization of Spin-Torque Oscillators via Continuation Method

Nikitin, Denis ; Canudas-de-Wit, Carlos ; Frasca, Paolo ; Ebels, Ursula

IEEE transactions on automatic control, 2023-11, Vol.68 (11), p.1-14 [Periódico revisado por pares]

New York: IEEE

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Título:
Synchronization of Spin-Torque Oscillators via Continuation Method
Autor: Nikitin, Denis ; Canudas-de-Wit, Carlos ; Frasca, Paolo ; Ebels, Ursula
Assuntos: Analysis of PDEs ; Computer Science ; Condensed Matter ; Continuation methods ; Couplings ; Frequency synchronization ; Kuramoto oscillators ; Mathematics ; Nanoelectronics ; Nanotechnology devices ; Non-Isochronous Oscillators ; Numerical models ; Numerical simulation ; Optimization and Control ; Ordinary differential equations ; Oscillators ; Partial differential equations ; Physics ; Spin-Torque Oscillators ; Synchronism ; Synchronization ; Synchronization of Large-Scale Networks ; Systems and Control ; Torque
É parte de: IEEE transactions on automatic control, 2023-11, Vol.68 (11), p.1-14
Descrição: In this paper we study synchronization phenomena of spin-torque oscillators coupled on a ring. Spin-torque oscillators are nanoelectronic devices that promise efficient microwave generation provided they are synchronized in large arrays. Due to their nonlinear and non-isochronous nature, their synchronization properties are difficult to analyse explicitly. To address this challenge, we employ a recently developed continuation method and transform the network of coupled oscillators (each described by an ordinary differential equation) into a single partial differential equation (PDE). We then analyse the synchronization of this PDE in two cases: when all the oscillators are identical and when there are two different types of oscillators. In the case of identical oscillators, we characterize all possible synchronous solutions and provide necessary and sufficient conditions for stability. For non-identical oscillators, we derive and solve a differential synchronization condition, which allows us to accurately reconstruct the shape of the equilibrium profiles. All the presented results are derived for the PDE and then validated by numerical simulations of the original network of ODEs.
Editor: New York: IEEE
Idioma: Inglês

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Synchronization of Spin-Torque Oscillators via Continuation Method

Nikitin, Denis ; Canudas-de-Wit, Carlos ; Frasca, Paolo ; Ebels, Ursula

New York: IEEE

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