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We present a case study of how topology can affect synchronization. Specifically, we consider arrays of phase oscillators coupled in a ring or a chain topology. Each ring is perfectly matched to a chain with the same initial conditions and…

Dynamical Systems · Mathematics 2016-12-07 Bertrand Ottino-Loffler , Steven Strogatz

We investigate analytically and numerically the conditions for the Turing instability to occur in a one-dimensional chain of nonlinear oscillators coupled non-locally in such a way that the coupling strength decreases with the spatial…

Pattern Formation and Solitons · Physics 2015-05-27 R. L. Viana , F. A. dos S. Silva , S. R. Lopes

For atomic frequency standards in which fluctuations of the local oscillator (LO) frequency are the dominant noise source, we examine the role of the servo algorithm that predicts and corrects these frequency fluctuations. We derive the…

The Probability Distribution Function (PDF) Pn(n) of the particle density at the edge of several magnetic fusion devices, including tokamaks, stellarators, and linear devices, is known to be strongly non-gaussian. In this paper we present…

Plasma Physics · Physics 2007-05-23 F. Sattin , N. Vianello , M. Valisa

The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping…

Chaotic Dynamics · Physics 2024-03-18 Mattia Coccolo , Jesús M. Seoane , Miguel A. F. Sanjuán

Observations of X-ray emissions from binary systems have always been considered important tools to test the validity of General Relativity in strong-field regimes. The pairs and triplets of high frequency quasi-periodic oscillations…

Astrophysics · Physics 2009-11-10 L. Rezzolla

Fast radio bursts (FRBs) are astronomical radio transients of unknown origin. A minority of FRBs have been observed to originate from repeating sources, and it is unknown which apparent one-off bursts are hidden repeaters. Recent studies…

High Energy Astrophysical Phenomena · Physics 2024-09-13 Arjun Sharma , Vinesh Maguire Rajpaul

Counterfeit products pose significant risks to public health and safety through infiltrating untrusted supply chains. Among numerous anti-counterfeiting techniques, leveraging inherent, unclonable microscopic irregularities of paper…

Cryptography and Security · Computer Science 2025-12-11 Anirudh Nakra , Nayeeb Rashid , Chau-Wai Wong , Min Wu

For a system of globally pulse-coupled phase-oscillators, we derive conditions for stability of the completely synchronous state and all possible two-cluster states and explain how the different states are naturally connected via…

Adaptation and Self-Organizing Systems · Physics 2015-05-27 Leonhard Lücken , Serhiy Yanchuk

Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities…

Statistical Mechanics · Physics 2009-10-31 A. F. Rozenfeld , C. J. Tessone , E. Albano , H. S. Wio

Synchronization processes in populations of identical networked oscillators are in the focus of intense studies in physical, biological, technological and social systems. Here we analyze the stability of the synchronization of a network of…

Random unitaries are a central object of study in quantum information, with applications to quantum computation, quantum many-body physics, and quantum cryptography. Recent work has constructed unitary designs and pseudorandom unitaries…

Quantum Physics · Physics 2025-09-29 Ben Foxman , Natalie Parham , Francisca Vasconcelos , Henry Yuen

Nanomechanical resonators can serve as high performance detectors and have potential to be widely used in the industry for a variety of applications. Most nanomechanical sensing applications rely on detecting changes of resonance frequency.…

Instrumentation and Detectors · Physics 2023-09-22 Hajrudin Bešić , Alper Demir , Johannes Steurer , Niklas Luhmann , Silvan Schmid

Random number generators (RNG) are an important resource in many areas: cryptography (both quantum and classical), probabilistic computation (Monte Carlo methods), numerical simulations, industrial testing and labeling, hazard games,…

Quantum Physics · Physics 2015-05-27 Mario Stipcevic

The MRFM device is a powerful setup for manipulating single electron spin in resonance in a magnetic field. However, the real time observation of a resonating spin is still an issue because of the very low SNR of the output signal. This…

Quantum Physics · Physics 2007-05-23 Cyril Hory , Alfred O. Hero

We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are drawn from some joint probability distribution. Combining a…

Disordered Systems and Neural Networks · Physics 2014-08-18 Bernard Sonnenschein , Thomas K. DM. Peron , Francisco A. Rodrigues , Jürgen Kurths , Lutz Schimansky-Geier

Reconfigurable intelligent surface (RIS)-aided wireless communications have drawn significant attention recently. We study the physical layer security of the downlink RIS-aided transmission framework for randomly located users in the…

Information Theory · Computer Science 2021-04-09 Jiayi Zhang , Hongyang Du , Qiang Sun , Bo Ai , Derrick Wing Kwan Ng

The study of regularity in signals can be of great importance, typically in medicine to analyse electrocardiogram (ECG) or electromyography (EMG) signals, but also in climate studies, finance or security. In this work we focus on security…

Cryptography and Security · Computer Science 2025-01-16 Paul Jimenez , Raphael Cardoso , Maurìcio Gomes de Queiroz , Mohab Abdalla , Cédric Marchand , Xavier Letartre , Fabio Pavanello

We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all…

Quantum Physics · Physics 2007-05-23 F. Verstraete , M. Popp , J. I. Cirac

Quantum information technologies hold immense promise, with quantum computers poised to revolutionize problem-solving capabilities. Among the leading contenders are solid-state spin-qubits, particularly those utilizing the spin of…

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