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Measure synchronization is a well-known phenomenon in coupled classical Hamiltonian systems over last two decades. In this paper, synchronization for coupled Harper system is investigated in both classical and quantum contexts. The concept…

Quantum Physics · Physics 2020-02-19 Saikat Sur , Anupam Ghosh

In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

Methodology · Statistics 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

Sharing a common clock signal among the nodes is crucial for communication in synchronized networks. This work presents a heartbeat-based synchronization scheme for body-worn nodes. The principles of this coordination technique combined…

Networking and Internet Architecture · Computer Science 2020-05-13 Robin Benarrouch , Ali Moin , Flavien Solt , Antoine Frappé , Andreia Cathelin , Andreas Kaiser , Jan Rabaey

We treat synchronization for iterated function systems generated by diffeomorphisms on compact manifolds. Synchronization here means the convergence of orbits starting at different initial conditions when iterated by the same sequence of…

Dynamical Systems · Mathematics 2018-01-26 Ale Jan Homburg

A unified approach for analyzing synchronization in coupled systems of autonomous differential equations is presented in this work. Through a careful analysis of the variational equation of the coupled system we establish a sufficient…

Adaptation and Self-Organizing Systems · Physics 2015-05-19 Georgi S. Medvedev

Research and development (R&D) of countries play a major role in a long-term development of the economy. We measure the R&D efficiency of all 28 member countries of the European Union in the years 2008--2014. Super-efficient data…

Applications · Statistics 2024-05-09 Vladimír Holý , Karel Šafr

Systems of mobile physical entities exchanging information with their neighborhood can be found in many different situations. The understanding of their emergent cooperative behaviour has become an important issue across disciplines,…

Soft Condensed Matter · Physics 2017-03-15 Demian Levis , Ignacio Pagonabarraga , Albert Diaz-Guilera

We use techniques from network science to study correlations in the foreign exchange (FX) market over the period 1991--2008. We consider an FX market network in which each node represents an exchange rate and each weighted edge represents a…

Trading and Market Microstructure · Quantitative Finance 2010-04-13 Daniel J. Fenn , Mason A. Porter , Peter J. Mucha , Mark McDonald , Stacy Williams , Neil F. Johnson , Nick S. Jones

Hydrodynamic synchronization provides a general mechanism for the spontaneous emergence of coherent beating states in independently driven mesoscopic oscillators. A complete physical picture of those phenomena is of definite importance to…

Soft Condensed Matter · Physics 2014-01-29 Nick Koumakis , Roberto Di Leonardo

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

Social media are transforming global communication and coordination and provide unprecedented opportunities for studying socio-technical domains. Here we study global dynamical patterns of communication on Twitter across many scales.…

Physics and Society · Physics 2016-02-22 Alfredo J. Morales , Vaibhav Vavilala , Rosa M. Benito , Yaneer Bar-Yam

There is evidence that ice age cycles are paced by astronomical forcing, suggesting some kind of synchronisation phenomenon. Here, we identify the type of such synchronisation and explore systematically its uniqueness and robustness using a…

Dynamical Systems · Mathematics 2013-11-15 B. De Saedeleer , M. Crucifix , S. Wieczorek

The mechanism of synchronization of oscillations in two identical coupled flow systems has beenstudied. The time (past the coupling onset) during which a synchronous oscillation regime is establisheddepends on the oscillation phase…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

The presence of \b{eta}-convergence in European regions is an important issue to be analyzed. In this paper, we adopt a quantile regression approach in analyzing economic convergence. While previous work has performed quantile regression at…

Applications · Statistics 2019-06-12 Alfredo Cartone , Geoffrey JD Hewings , Paolo Postiglione

The production process of integrated electronic circuitry inherently leads to large heterogeneities on the component level. For electronic clock networks this implies detuned intrinsic frequencies and differences in coupling strength and…

Adaptation and Self-Organizing Systems · Physics 2019-09-04 Nirmal Punetha , Lucas Wetzel

In this paper we have analyzed scaling properties of time series of stock market indices (SMIs) of developing economies of Western Balkans, and have compared the results we have obtained with the results from more developed economies. We…

Statistical Finance · Quantitative Finance 2015-07-14 Darko Sarvan , Djordje Stratimirovic , Suzana Blesic , Vladimir Miljkovic

This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of…

Dynamical Systems · Mathematics 2025-05-28 Navojit Dhali Pallab

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

Adaptation and Self-Organizing Systems · Physics 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

We propose a clustering-based approach for identifying coherent flow structures in continuous dynamical systems. We first treat a particle trajectory over a finite time interval as a high-dimensional data point and then cluster these data…

Dynamical Systems · Mathematics 2022-12-27 Wai Ming Chau , Shingyu Leung

This study analyses the current viability of this business based on a sample of European countries in the year 2019; countries where electricity prices (day-ahead market) and financial conditions show a certain degree of heterogeneity. We…

General Economics · Economics 2023-09-26 Fernando Núñez , David Canca , Ángel Arcos-Vargas