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Super-harmonic injection locking of single nano-contact (NC) spin-torque vortex oscillators (STVOs) subject to a small microwave current has been explored. Frequency locking was observed up to the fourth harmonic of the STVO fundamental…

Materials Science · Physics 2016-09-14 P. S. Keatley , S. R. Sani , G. Hrkac , S. M. Mohseni , P. Dürrenfeld , J. Åkerman , R. J. Hicken

Oscillator networks display intricate synchronization patterns. Determining their stability typically requires incorporating the symmetries of the network coupling. Going beyond analyses that appeal only to a network's automorphism group,…

Dynamical Systems · Mathematics 2020-12-14 J. Emenheiser , A. Salova , J. Snyder , J. P. Crutchfield , R. M. D'Souza

Mutual synchronization of N serially connected spintronic nano-oscillators increases their coherence by a factor $N$ and their output power by $N^2$. Increasing the number of mutually synchronized nano-oscillators in chains is hence of…

Stochastic oscillators based on emerging nanodevices are attractive because of their ultra-low power requirement and ability to exhibit stochastic resonance, a phenomenon where synchronization to weak input signals is enabled due to ambient…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Punyashloka Debashis , Aman K. Maskay , Pramey Upadhyaya , Zhihong Chen

Two-mode model of spin-torque nano-oscillator (STNO) under the action of thermal noise is considered. Langevin equations for mode amplitudes were derived starting from general nonlinear oscillator model. Stationary probability distribution…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 D. V. Slobodianiuk

A spin-torque nano-oscillator (STNO) driven by a ramped bias current can perform spectrum analysis quickly over a wide frequency bandwidth. The STNO spectrum analyzer operates by injection locking to external microwave signals and produces…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Steven Louis , Vasyl Tyberkevych , Jia Li , Ivan Lisenkov , Roman Khymyn , Elena Bankowski , Thomas Meitzler , Ilya Krivorotov , Andrei Slavin

We investigate the influence of field-like torque and the direction of the external magnetic field on a one-dimensional array of serially connected spin-torque nano oscillators, having free layers with perpendicular anisotropy, to achieve…

Mesoscale and Nanoscale Physics · Physics 2023-12-29 R. Arun , R. Gopal , V. K. Chandrasekar , M. Lakshmanan

Spin torque oscillators placed onto a nonmagnetic heavy metal show synchronized auto-oscillations due to the coupling originating from spin Hall magnetoresistance effect. Here, we study a system having two spin torque oscillators under the…

Mesoscale and Nanoscale Physics · Physics 2017-10-26 Tomohiro Taniguchi

In this paper the mutual phase locking theory of very nonidentical spin-torque nanooscillators, which is based on the Slavin-Tiberkevich model, considering the theory of nonlinear oscillations, is developed. Using generalized Adler equation…

Chaotic Dynamics · Physics 2014-08-12 Ansar R. Safin , Nicolay N. Udalov , Mikhail V. Kapranov

We experimentally study the dynamical modes excited by spin current in Spin Hall nano-oscillators based on the Pt/[Co/Ni] multilayers with perpendicular magnetic anisotropy. Both propagating spin wave and localized solitonic modes of the…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Lina Chen , S. Urazhdin , Youwei Du , R. H. Liu

We investigate how the ability of the vortex oscillation mode of a spin-torque nano-oscillator to lock to an external microwave signal is modified when it is coupled to another oscillator. We show experimentally that mutual electrical…

Many oscillator networks are multistable, meaning that different synchronization states are realized depending on the initial conditions. In this paper, we numerically analyze a ring network of phase oscillators, in which synchronous states…

Adaptation and Self-Organizing Systems · Physics 2026-03-06 Soomin Kim , Hiroshi Kori

Ising Machines (IMs) are physical systems designed to find solutions to combinatorial optimization (CO) problems mapped onto the IM via the coupling strengths of its binary spins. Using the intrinsic dynamics and different annealing…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Afshin Houshang , Mohammad Zahedinejad , Shreyas Muralidhar , Jakub Checinski , Ahmad A. Awad , Johan Åkerman

We study mutual synchronization in double nanoconstriction-based spin Hall nano-oscillators (SHNOs) under weak in-plane fields ($\mu_0H_\mathrm{IP}$ = 30-40 mT) and also investigate its angular dependence. We compare SHNOs with different…

In the present work, using micromagnetic simulation, we show that the magnetic coupling effect plays a very important role in the process of creation of skyrmions in a coupled system of spin-torque nano-oscillators (STNO). First, we have…

Mesoscale and Nanoscale Physics · Physics 2018-12-13 H. Vigo-Cotrina , A. P. Guimarães

Due to their nonlinear properties, spin transfer nano-oscillators can easily adapt their frequency to external stimuli. This makes them interesting model systems to study the effects of synchronization and brings some opportunities to…

The collective dynamics in populations of magnetic spin torque oscillators (STO) is an intensely studied topic in modern magnetism. Here, we show that arrays of STO coupled via dipolar fields can be modeled using a variant of the Kuramoto…

Mesoscale and Nanoscale Physics · Physics 2016-09-06 Vegard Flovik , Ferran Macià , Erik Wahlström

The collective behavior of the ensembles of coupled nonlinear oscillator is one of the most interesting and important problems in modern nonlinear dynamics. In this paper, we study rotational dynamics, in particular space-time structures,…

Chaotic Dynamics · Physics 2020-11-03 V. O. Munyaev , D. S. Khorkin , M. I. Bolotov , L. A. Smirnov , G. V. Osipov

A rationale is provided for the emergence of synchronization in a system of coupled oscillators in a stick-slip motion. The single oscillator has a limit cycle in a region of the state space for each parameter set beyond the supercritical…

Adaptation and Self-Organizing Systems · Physics 2015-11-17 Nozomi Sugiura , Takane Hori , Yoji Kawamura

Spin-torque vortex oscillators (STVOs) have been shown to exhibit rich and complex dynamical regimes, which are strongly dependent on the polarizer's configuration. Here, we give an overview of the dynamics in an STVO comprising two vortex…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Loukas Kokkinos , Joo-Von Kim