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We consider the behavior of a modulated wave solution to an $\mathbb{S}^1$-equivariant autonomous system of differential equations under an external forcing of modulated wave type. The modulation frequency of the forcing is assumed to be…

Dynamical Systems · Mathematics 2012-05-04 Lutz Recke , Anatoly Samoilenko , Alexey Teplinsky , Viktor Tkachenko , Serhiy Yanchuk

Many nonlinear systems are described by eigenmodes with amplitude-dependent frequencies, interacting strongly whenever the frequencies become commensurate at internal resonances. Fast energy exchange via the resonances holds the key to rich…

Chaotic Dynamics · Physics 2022-12-07 Mingkang Wang , Diego J. Perez-Morelo , Daniel Lopez , Vladimir A. Aksyuk

Phase locking experiments on vortex based spin transfer oscillators with an external microwave current are performed. We present clear evidence of phase locking, frequency pulling, as well as fractional synchronization in this system, with…

We study coherent control in the vicinity of metallic nanostructures. Unlike in the case of control in gas or liquid phase, the collective response of electrons in a metallic nanostructure can significantly enhance different frequency…

Mesoscale and Nanoscale Physics · Physics 2008-08-07 Ilya Grigorenko , Anatoly Efimov

By investigating thoroughly the tunable behavior of coupled modes, we highlight how it provides new means to handle the properties of spin transfer nano-oscillators. We first demonstrate that the main features of the microwave signal…

The magnetic vortex core in a nanodot can be switched by an alternating transversal magnetic field. We propose a simple collective coordinate model which describes comprehensive vortex core dynamics, including resonant behavior, weakly…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Oleksandr V. Pylypovskyi , Denis D. Sheka , Volodymyr P. Kravchuk , Yuri Gaididei , Franz G. Mertens

Synchronization and chaos are two well known and ubiquitous phenomena in nature. Interestingly, under specific conditions, coupled chaotic systems can display synchronization in some of their observables. Here, we experimentally investigate…

Chaotic Dynamics · Physics 2021-09-01 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

We report the synchronization behavior in a one-dimensional chain of identical limit cycle oscillators coupled to a mass-spring load via a force relation. We consider the effect of periodic parametric modulation on the final synchronization…

Chaotic Dynamics · Physics 2015-05-13 E. Y. Shchekinova

We study theoretically spectrum of radial vibrational modes in composite metal nanostructures such as bimetallic core-shell particles and metal nanoshells with dielectric core in an environment. We calculate frequencies and damping rates of…

Materials Science · Physics 2008-08-27 Arman S. Kirakosyan , Tigran V. Shahbazyan

We investigate the equilibrium and nonequilibrium properties of the core region of vortices in layered superconductors. We discuss the electronic structure of singly and doubly quantized vortices for both s-wave and d-wave pairing symmetry.…

Superconductivity · Physics 2008-06-29 M. Eschrig , D. Rainer , J. A. Sauls

Phase coupling between auto-oscillators is central for achieving coherent responses such as synchronization. Here we present an experimental approach to probe it in the case of two dipolarly coupled spin-torque vortex nano-oscillators using…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Yi Li , Xavier de Milly , Flavio Abreu Araujo , Olivier Klein , Vincent Cros , Julie Grollier , Grégoire de Loubens

We have investigated the confinement of 3-D vortices in specific cases of Type-II ($\kappa = 2$) nano-superconducting devices. The emergent pattern of vortices greatly depends on the orientation of an applied magnetic field (transverse or…

Superconductivity · Physics 2017-07-07 Wai Man Wu , Binoy Sobnack , Derek Michael Forrester , Feodor Kusmartsev

Understanding the behaviour of vortices under nanoscale confinement in superconducting circuits is of importance for development of superconducting electronics and quantum technologies. Using numerical simulations based on the…

Superconductivity · Physics 2022-10-19 Benjamin A. McNaughton , Nicola Pinto , Andrea Perali , Milorad V. Milosevic

The paper proposes the method to analyze the internal dynamics of nanoscopic systems by periodic modulation of the electrochemical potentials of the attached leads and measuring the time-averaged current. The idea is presented using the…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Krzysztof Ptaszynski

Synchronization of self-sustained oscillators under fixed-frequency and amplitude forcing is well understood, but how time-varying forcing mangles phase locking has been much less explored. Theory predicts that slow, deterministic…

Chaotic Dynamics · Physics 2026-01-07 Zhenwei Xu , Ulrich Kuhl , Nicolas Noiray

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

Imperfections in the surface of intracavity elements of an optical ring resonator can scatter light from one mode into the counterpropagating mode. The phase-locking of the cavity modes induced by this backscattering is a well-known example…

Optics · Physics 2009-11-13 G. Krenz , S. Bux , S. Slama , C. Zimmermann , Ph. W. Courteille

We study the synchronization of the auto-oscillation signal generated by the spin transfer driven dynamics of two coupled vortices in a spin-valve nanopillar to an external source. Phase-locking to the microwave field hrf occurs in a range…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 A. Hamadeh , Nicolas Locatelli , V. V. Naletov , Romain Lebrun , Grégoire De Loubens , Julie Grollier , Olivier Klein , V. Cros

We calculate the response of a vortex core in a layered superconductor to {\em ac} electromagnetic fields with frequencies $\omega\lsim 2\Delta/\hbar$. In this frequency range the response is dominated by order parameter collective modes…

Superconductivity · Physics 2010-11-16 Matthias Eschrig , J. A. Sauls , D. Rainer

We demonstrate a non-linear interference due to an active 'dual frequency' excitation of both, the sub-GHz vortex gyromode and multi-GHz magneto-static spin waves in ferromagnetic micrometer sized platelets in the vortex state. When the…