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A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of…

Chaotic Dynamics · Physics 2019-07-16 Ivan A. Korneev , Vladimir V. Semenov , Tatiana E. Vadivasova

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

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

Spin Hall effects interconvert spin- and charge currents due to spin-orbit interaction, which enables convenient electrical generation and detection of diffusive spin currents and even collective spin excitations in magnetic solids. Here,…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Matthias Benjamin Jungfleisch , Wei Zhang , Wanjun Jiang , Axel Hoffmann

We study optimal synchronization in networks of heterogeneous phase oscillators. Our main result is the derivation of a synchrony alignment function that encodes the interplay between network structure and oscillators' frequencies and can…

Adaptation and Self-Organizing Systems · Physics 2014-10-21 Per Sebastian Skardal , Dane Taylor , Jie Sun

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 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 investigate phase-locked solutions of a continuum field of nonlocally coupled identical phase oscillators with distance-dependent propagation delays. Equilibrium relations for both synchronous and traveling wave solutions in the…

Chaotic Dynamics · Physics 2026-01-27 Gautam C Sethia , Abhijit Sen , Fatihcan M Atay

We demonstrate that the spin-polarized electron current can interact with a microwave electric field in a resonant manner. The spin-orbit interaction gives rise to an effective magnetic field proportional to the electric current. In the…

Materials Science · Physics 2009-11-10 B. A. Glavin , K. W. Kim

Spin torque nano oscillators (STNO) are nano-scale devices that can convert a direct current into short wave-length spin-wave excitations in a ferromagnetic layer. We show that arrays of STNO can be used to create directional spin-wave…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 Ferran Macià , Frank. C. Hoppensteadt , Andrew D. Kent

The synchronization of coupled oscillators is a phenomenon found throughout nature. Mechanical oscillators are paradigmatic among such systems, but realising them at the nanoscale is challenging. We report synchronization of the mechanical…

A central goal in spintronics and magnonics is the use of spin waves rather than electrons for efficient information processing. The key to integrate such spintronic circuits with electronic circuits is the ability to inject, control and…

Mesoscale and Nanoscale Physics · Physics 2024-08-28 J. S. Harms , H. Y. Yuan , Rembert A. Duine

We predict a spatially localized magnetic domain wall oscillator upon the application of an external magnetic field and a DC electric current. The amplitude and frequency of the oscillator can be controlled by the field and/or the current.…

Materials Science · Physics 2007-05-23 J. He , S. Zhang

Optomechanical oscillators stand out as high-performance and versatile candidates for serving as reference clocks in sequential photonic integrated circuits. Indeed, they have the unique capability of simultaneously generating mechanical…

A novel regime of synchronization, called remote synchronization, where the peripheral nodes form a phase synchronized cluster not including the hub, was recently observed in star motifs. We show the existence of a more general dynamical…

Improving the frequency precision by synchronizing a lattice of oscillators is studied in the phase reduction limit. For the most commonly studied case of purely dissipative phase coupling (the Kuramoto model) I confirm that the frequency…

Pattern Formation and Solitons · Physics 2013-05-30 M. C. Cross

This study investigates the synchronization dynamics of coupled-oscillator systems in which some of the oscillators are damaged and lose their autonomous oscillations. The damaged elements are modeled using damped oscillators; thus, the…

Adaptation and Self-Organizing Systems · Physics 2025-11-18 Shota Inagawa , Hiroki Hata , Shigefumi Hata

Synchronization has been reported for a wide range of self-oscillating systems. However, even though it has been predicted theoretically for several decades, the experimental realization of phase self-oscillation, sometimes called phase…

Mesoscale and Nanoscale Physics · Physics 2014-08-29 Thomas Barois , S. Perisanu , Pascal Vincent , Stephen T. Purcell , Anthony AYARI

Coherent, self-sustained oscillation of magnetization in spin-torque oscillators (STOs) is a promising source for on-chip, nanoscale generation of microwave magnetic fields. Such fields could be used for local excitation of spin-wave…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 H. Zhang , M. J. H. Ku , F. Casola , C. H. Du , T. van der Sar , M. C. Onbasli , C. A. Ross , Y. Tserkovnyak , A. Yacoby , R. L. Walsworth