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We study stochastic dynamics of an ensemble of N globally coupled excitable elements. Each element is modeled by a FitzHugh-Nagumo oscillator and is disturbed by independent Gaussian noise. In simulations of the Langevin dynamics we…

Statistical Mechanics · Physics 2009-11-11 M. Zaks , X. Sailer , L. Schimansky-Geier , A. Neiman

We study the classical dynamics of resonantly modulated large-spin systems in a strong magnetic field. We show that these systems have special symmetry. It leads to characteristic nonlinear effects. They include abrupt switching between…

Mesoscale and Nanoscale Physics · Physics 2008-02-19 C. Hicke , M. I. Dykman

Cluster synchronization is a phenomenon in which oscillators in a given network are partitioned into synchronous clusters. As recently shown, diverse cluster synchronization patterns can be found using network symmetry when the oscillators…

Chaotic Dynamics · Physics 2019-05-24 Young Sul Cho

We reduce the dynamics of an ensemble of mean-coupled Stuart-Landau oscillators close to the synchronized solution. In particular, we map the system onto the center manifold of the Benjamin-Feir instability, the bifurcation destabilizing…

Chaotic Dynamics · Physics 2021-02-17 Felix P. Kemeth , Bernold Fiedler , Sindre W. Haugland , Katharina Krischer

Current-induced magnetization dynamics in a trilayer structure composed of two ferromagnetic free layers and a nonmagnetic spacer is examined. Both free layers are treated as a monodomain magnetic body with an uniform agnetization. The…

Materials Science · Physics 2009-11-11 Kiwamu Kudo , Rie Sato , Koichi Mizushima

Synchronization is a widespread phenomenon in science and technology. We here study noise-induced synchronization in a quantum spin chain subjected to local Gaussian white noise. We demonstrate stable (anti)synchronization between the…

Quantum Physics · Physics 2022-12-20 Finn Schmolke , Eric Lutz

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on…

Disordered Systems and Neural Networks · Physics 2015-03-13 Ralf Toenjes , Naoki Masuda , Hiroshi Kori

Bloch-Bloembergen-Slonczewski equation is adopted to simulate magnetization dynamics in spin-valve based spin-transfer torque oscillator with synthetic antiferromagnet acting as a free magnetic layer. High frequency up to the terahertz…

Applied Physics · Physics 2018-08-01 Hai Zhong , Shizhu Qiao , Shishen Yan , Hong Zhang , Yufeng Qin , Lanju Liang , Dequan Wei , Yinrui Zhao , Shishou Kang

We study synchronization of locally coupled noisy phase oscillators which move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits several wave-like states which…

Biological Physics · Physics 2010-09-22 Fernando Peruani , Ernesto M. Nicola , Luis G. Morelli

We study two-cluster solutions of an ensemble of generic limit-cycle oscillators in the vicinity of a Hopf bifurcation, i.e. Stuart-Landau oscillators, with a nonlinear global coupling. This coupling leads to conserved mean-field…

Chaotic Dynamics · Physics 2015-06-22 Lennart Schmidt , Katharina Krischer

A theoretical study on how synchronization and resonance-like phenomena in superparamagnetic tunnel junctions can be driven by spin-transfer torques is presented. We examine the magnetization of a superparamagnetic free layer that reverses…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Artur Accioly , Nicolas Locatelli , Alice Mizrahi , Damien Querlioz , Luis G. Pereira , Julie Grollier , Joo-Von Kim

We explore how non-equilibrium noise affects spin-torque switching elements and oscillators. To do so we first discuss the deterministic dynamics of magnetic tunnel junctions, introducing a convenient set of slow and fast degrees of…

Mesoscale and Nanoscale Physics · Physics 2011-10-18 T. Dunn , A. L. Chudnovskiy , A. Kamenev

In a network of nonlocally coupled Stuart-Landau oscillators with symmetry-breaking coupling, we study numerically, and explain analytically, a family of inhomogeneous steady states (oscillation death). They exhibit multi-cluster patterns,…

Adaptation and Self-Organizing Systems · Physics 2015-12-09 Isabelle Schneider , Marie Kapeller , Sarah Loos , Anna Zakharova , Bernold Fiedler , Eckehard Schöll

We investigate complex synchronization patterns such as cluster synchronization and partial amplitude death in networks of coupled Stuart-Landau oscillators with fractal connectivities. The study of fractal or self-similar topology is…

Adaptation and Self-Organizing Systems · Physics 2017-02-08 Sanjukta Krishnagopal , Judith Lehnert , Winnie Poel , Anna Zakharova , Eckehard Schöll

The magnetization dynamics of spin torque oscillator (STO) consisting of a perpendicularly magnetized free layer and an in-plane magnetized pinned layer was studied by solving the Landau-Lifshitz-Gilbert equation. We derived the analytical…

Mesoscale and Nanoscale Physics · Physics 2014-02-07 Tomohiro Taniguchi , Hiroko Arai , Hitoshi Kubota , Hiroshi Imamura

We study the theoretical conditions to excite a stable self-oscillation in a spin torque oscillator with an in-plane magnetized free layer and a perpendicularly magnetized pinned layer in the presence of magnetic field pointing in an…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 Tomohiro Taniguchi , Hitoshi Kubota

We present a combined analytical and numerical study on double-vortex spin-torque nano-oscillators and describe a mechanism that suppresses the windmill modes. The magnetization dynamics is dominated by the gyrotropic precession of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Volker Sluka , Attila Kákay , Alina M. Deac , Daniel E. Bürgler , Riccardo Hertel , Claus M. Schneider

We study networks of noisy phase oscillators whose nodes are characterized by a random degree counting the number of its connections. Both these degrees and the natural frequencies of the oscillators are distributed according to a given…

Chaotic Dynamics · Physics 2012-05-15 Bernard Sonnenschein , Lutz Schimansky-Geier

We analyse various properties of stochastic Markov processes with multiplicative white noise. We take a single-variable problem as a simple example, and we later extend the analysis to the Landau-Lifshitz-Gilbert equation for the stochastic…

By a small-size complex network of coupled chaotic Hindmarsh-Rose circuits, we study experimentally the stability of network synchronization to the removal of shortcut links. It is shown that the removal of a single shortcut link may…

Chaotic Dynamics · Physics 2018-04-04 Ben Cao , Yafeng Wang , Liang Wang , Yizhen Yu , Xingang Wang