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The main limitation in order to exploit spin torque nano-oscillators (STNOs) in various potential applications is their large phase noise. In this work, we demonstrate its efficient reduction by a highly reconfigurable, compact,…

This chapter reviews the state of the art in mutually synchronized spin-torque and spin Hall nano-oscillator (STNO and SHNO) arrays. After briefly introducing the underlying physics, we discuss different nano-oscillator implementations and…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Akash Kumar , Artem Litvinenko , Nilamani Behera , Ahmad A. Awad , Roman Khymyn , Johan Åkerman

We study the synchronization of $N$ nearest neighbors coupled oscillators in a ring. We derive an analytic form for the phase difference among neighboring oscillators which shows the dependency on the periodic boundary conditions. At…

Chaotic Dynamics · Physics 2015-05-27 Hassan F. El-Nashar , Hilda A. Cerdeira

We have conducted experiments to probe how the dynamics of nanocontact vortex oscillators can be modulated by an external signal. We explore the phase-locking properties in both the commensurate and chaotic regimes, where chaos appears to…

Mesoscale and Nanoscale Physics · Physics 2019-10-25 Jérémy Létang , Sébastien Petit-Watelot , Myoung-Woo Yoo , Thibaut Devolder , Karim Bouzehouane , Vincent Cros , Joo-Von Kim

Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbation or parameter variation. In the limit of weak coupling,…

Dynamical Systems · Mathematics 2025-10-10 Jorge L. Ocampo-Espindola , István Z. Kiss , Christian Bick , Kyle C. A. Wedgwood

The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-continuous array of identical oscillators separates sharply into…

Statistical Mechanics · Physics 2007-05-23 Yoshiki Kuramoto , Dorjsuren Battogtokh

Arrays of spin-torque nano-oscillators are promising for broadband microwave signal detection and processing, as well as for neuromorphic computing. In many of these applications, the oscillators should be engineered to have equally-spaced…

Recent experiments on spin torque oscillators have revealed interactions between multiple magnetodynamic modes, including mode-coexistence, mode-hopping, and temperature-driven cross-over between modes. Initial multimode theory has…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Steven S. -L. Zhang , Ezio Iacocca , Olle Heinonen

We demonstrate, both experimentally and theoretically, a new phenomenon: the presence of dissipative coupling in the system of driven bosons. This is evidenced for a particular case of externally excited spots of exciton-polariton…

Other Condensed Matter · Physics 2017-09-25 H. Ohadi , R. L. Gregory , T. Freegarde , Y. G. Rubo , A. V. Kavokin , P. G. Lagoudakis

We investigated the locking behaviors of coupled limit-cycle oscillators with phase and amplitude dynamics. We focused on how the dynamics are affected by inhomogeneous coupling strength and by angular and radial shifts in the coupling…

Dynamical Systems · Mathematics 2021-01-19 Jae Hyung Woo , Christopher J. Honey , Joon-Young Moon

We propose a method for detecting the presence of synchronization of self-sustained oscillator by external driving with linearly varying frequency. The method is based on a continuous wavelet transform of the signals of self-sustained…

We investigate the synchronization of oscillators based on anharmonic nanoelectromechanical resonators. Our experimental implementation allows unprecedented observation and control of parameters governing the dynamics of synchronization. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 M. H. Matheny , M. Grau , L. G. Villanueva , R. B. Karabalin , M. C. Cross , M. L. Roukes

Planar rotors can be realized by confining molecular ions or charged nanoparticles together with atomic ions in a Paul trap. We study the case of molecular ions or charged nanoparticles that have an electric dipole moment which couples to…

Quantum Physics · Physics 2025-04-02 Monika Leibscher , Ferdinand Schmidt-Kaler , Christiane P. Koch

The current controlled modulation of nano-contact based spin torque oscillator (STO) pairs is studied in both the synchronized and non-synchronized states. The synchronized state shows a well behaved modulation and demonstrates robust…

Materials Science · Physics 2011-05-11 Ye. Pogoryelov , P. K. Muduli , S. Bonetti , E. Iacocca , Fred Mancoff , Johan Åkerman

A spin-wave (SW) directional coupler comprised of two laterally parallel nano-scale dipolarly-coupled SW waveguides is proposed and studied using micromagnetic simulations and analytical theory. The energy of a SW excited in one of the…

Mesoscale and Nanoscale Physics · Physics 2019-05-30 Qi Wang , Philipp Pirro , Roman Verba , Andrei Slavin , Burkard Hillebrands , Andrii V. Chumak

We investigate the synchronization phenomenon between two Spin-transfer Torque Nano-Oscillators (STNOs) of different frequencies in two pillar systems under vortex configuration detunings or driving frequencies. The oscillators' mutual…

Other Condensed Matter · Physics 2022-12-23 A. Hamadeh , A. Koujok , I. Medlej , P. Pirro , S. Petit

Synchronization, the emergence of spontaneous order in coupled systems, is of fundamental importance in both physical and biological systems. We demonstrate the synchronization of two dissimilar silicon nitride micromechanical oscillators,…

Cluster synchronization is a fundamental phenomenon in systems of coupled oscillators. Here, we investigate clustering patterns that emerge in a unidirectional ring of four delay-coupled electrochemical oscillators. A voltage parameter in…

Dynamical Systems · Mathematics 2023-06-28 Andrew Keane , Alannah Neff , Karen Blaha , Andreas Amann , Philipp Hövel

Abrupt changes of behaviour in complex networks can be triggered by a single node. This work describes the dynamical fundamentals of how the behaviour of one node affects the whole network formed by coupled phase-oscillators with…

Adaptation and Self-Organizing Systems · Physics 2015-12-14 Chengwei Wang , Celso Grebogi , Murilo S. Baptista

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Hidetsugu Sakaguchi