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In this paper, we study typical nonlinear phenomenon of phase-locking or synchronization in spin-torque nano oscillators (STNOs). To start with the oscillators are considered as uncoupled but interlinked through either a common microwave…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 R. Gopal , B. Subash , V. K. Chandrasekar , M. Lakshmanan

We perform a qualitative analysis of phase locking in a double point-contact spinvalve system by solving the Landau-Lifshitz-Gilbert-Slonzewski equation using a hybrid-finite-element method. We show that the phase-locking behaviour depends…

Materials Science · Physics 2009-11-13 G. Hrkac , T. Schrefl , S. Bance , D. Allwood , A. Goncharov , J. Dean , D. Suess

We numerically investigate the effect of phase-amplitude coupling modulation on power spectra in semiconductor lasers subject to optical injection in a face to face configuration, when a non-negligible injection delay time is taken into…

Optics · Physics 2017-03-01 Pramod Kumar , Sudeshna Sinhac , Vishwa Pald , John Gerard McInerney

Two numerical methods are proposed for detection of coupling between multiple time series generated by deterministic nonlinear systems. The first detects interdependence or the existence of coupling between time series. The second…

Chaotic Dynamics · Physics 2025-05-07 Timothy Sauer , George Sugihara

Synchronization in a lattice of a finite population of phase oscillators with algebraically decaying, non-normalized coupling is studied by numerical simulations. A critical level of decay is found, below which full locking takes place if…

Statistical Mechanics · Physics 2009-11-07 M. Maródi , F. d'Ovidio , T. Vicsek

We study dynamics of phase-differences (PDs) of coupled oscillators where both the intrinsic frequencies and the couplings vary in time. In case the coupling coefficients are all nonnegative, we prove that the PDs are asymptotically stable…

Dynamical Systems · Mathematics 2018-06-15 Wenlian Lu , Fatihcan M. Atay

We investigate the dynamics of systems of many coupled phase oscillators with het- erogeneous frequencies. We suppose that the oscillators occur in M groups. Each oscillator is connected to other oscillators in its group with "attractive"…

Chaotic Dynamics · Physics 2015-06-03 Dustin Anderson , Ari Tenzer , Gilad Barlev , Michelle Girvan , Thomas M. Antonsen , Edward Ott

We study a model of coupled oscillators with bidirectional first nearest neighbours coupling with periodic boundary conditions. We show that a stable phase-locked solution is decided by the oscillators at the borders between the major…

Chaotic Dynamics · Physics 2015-05-13 Hassan F. El-Nashar , Hilda A. Cerdeira

The resonances of forced dynamical systems occur when either the amplitude of the frequency response undergoes a local maximum (amplitude resonance) or phase lag quadrature takes places (phase resonance). This study focuses on the phase…

Dynamical Systems · Mathematics 2021-08-25 Martin Volvert , Gaetan Kerschen

Recently, we have shown how the phase of an electromagnetic field can be determined by measuring the population of either of the two states of a two-level atomic system excited by this field, via the so-called Bloch-Siegert oscillation…

Quantum Physics · Physics 2007-05-23 M. S. Shahriar

Ramsey interferometry is a widely used tool for precisely measuring transition frequencies between two energy levels of a quantum system, with applications in time-keeping, precision spectroscopy, quantum optics, and quantum information.…

Quantum Physics · Physics 2023-02-21 H. Hainzer , D. Kiesenhofer , T. Ollikainen , M. Bock , F. Kranzl , M. K. Joshi , G. Yoeli , R. Blatt , T. Gefen , C. F. Roos

The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the…

chao-dyn · Physics 2009-10-31 Zhigang Zheng , Gang Hu , Bambi Hu

We address the problem of motion estimation in images operating in the frequency domain. A method is presented which extends phase correlation to handle multiple motions present in an area. Our scheme is based on a novel Bilateral-Phase…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Vasileios Argyriou

In this paper, a cooperative passive sensing framework for millimeter wave (mmWave) communication systems is proposed and demonstrated in a scenario with one mobile signal blocker. Specifically, in the uplink communication with at least two…

Signal Processing · Electrical Eng. & Systems 2024-10-01 Chao Yu , Bojie Lv , Haoyu Qiu , Rui Wang

We generalize our recent approach to reconstruction of phase dynamics of coupled oscillators from data [B. Kralemann et al., Phys. Rev. E, 77, 066205 (2008)] to cover the case of small networks of coupled periodic units. Starting from the…

Chaotic Dynamics · Physics 2015-05-27 Björn Kralemann , Arkady Pikovsky , Michael Rosenblum

Phase-locked loops (PLL), Costas loops and other synchronizing circuits are featured by the presence of a nonlinear phase detector, described by a periodic nonlinearity. In general, nonlinearities can cause complex behavior of the system…

Systems and Control · Computer Science 2015-08-21 Vera Smirnova , Anton Proskurnikov , Natalia V. Utina

Quantum correlation, such as entanglement and squeezing have shown to improve phase estimation in interferometric setups on one side, and non-interferometric imaging scheme of amplitude object on the other. In the last case, quantum…

The phenomenon of frequency and phase synchronization in stochastic systems requires a revision of concepts originally phrased in the context of purely deterministic systems. Various definitions of an instantaneous phase are presented and…

Statistical Mechanics · Physics 2009-11-07 Jan A. Freund , Lutz Schimansky-Geier , Peter Haenggi

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

A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al (2006 Phys. Rev. Lett. 96 145701) to exhibit a phase transition at a critical value of the coupling parameter, leading to stable global…

Biological Physics · Physics 2011-09-23 Vladimir R. V. Assis , Mauro Copelli , Ronald Dickman