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Analogies between the price dynamics in the foreign exchange market and 3-dimensional fully developed turbulence were recently presented in Nature vol. 381, 767-769 (1996). Independently, we have carried out a study comparing the parallel…

Condensed Matter · Physics 2007-05-23 Rosario N. Mantegna , H. Eugene Stanley

We pose the estimation and predictability of stock market performance. Three cases are taken: US, Japan, Germany, the monthly index of the value of realized investment in stocks, prices plus the value of dividend payments (OECD data). Once…

General Economics · Economics 2023-05-11 Ignacio Escanuela Romana , Clara Escanuela Nieves

We investigate transition to synchronization in Sakaguchi-Kuramoto (SK) model on complex networks analytically as well as numerically. Natural frequencies of a percentage ($f$) of higher degree nodes of the network are assumed to be…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Prosenjit Kundu , Pinaki Pal

The understanding of emergent collective phenomena in natural and social systems has driven the interest of scientists from different disciplines during decades. Among these phenomena, the synchronization of a set of interacting individuals…

Statistical Mechanics · Physics 2007-05-23 Jesus Gomez-Gardenes , Yamir Moreno , Alex Arenas

We study the relationship between synchronization and the rate with which information is exchanged between nodes in a spatio-temporal network that describes the dynamics of classical particles under a substrate Remoissenet-Peyrard…

Chaotic Dynamics · Physics 2009-11-13 F. M. Moukam Kakmeni , M. S. Baptista

As electricity consumption grows, reducing peak demand--the maximum load on the grid--has become critical for preventing infrastructure strain and blackouts. Pricing mechanisms that incentivize consumers with flexible loads to shift…

Computer Science and Game Theory · Computer Science 2025-11-17 Vade Shah , Jason R. Marden

Transformation Synchronization is the problem of recovering absolute transformations from a given set of pairwise relative motions. Despite its usefulness, the problem remains challenging due to the influences from noisy and outlier…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Zi Jian Yew , Gim Hee Lee

In this paper we aim to improve existing empirical exchange rate models by accounting for uncertainty with respect to the underlying structural representation. Within a flexible Bayesian non-linear time series framework, our modeling…

Econometrics · Economics 2018-12-04 Niko Hauzenberger , Florian Huber

Explosive synchronization(ES), as one kind of abrupt dynamical transition in nonlinearly coupled systems, is currently a subject of great interests. Given a special frequency distribution, a mixed ES is observed in a ring of coupled phase…

Chaotic Dynamics · Physics 2019-04-16 Wei Chen , Weiqing Liu , Yueheng Lan , Jinghua Xiao

We consider the coupling between two networks, each having N nodes whose individual dynamics is modeled by a two-state master equation. The intra-network interactions are all to all, whereas the inter-network interactions involve only a…

Adaptation and Self-Organizing Systems · Physics 2015-08-14 Malgorzata Turalska , Adam Svenkeson , Bruce J. West

We study the classical cubic-lattice double dimer model, consisting of two coupled replicas of the close-packed dimer model, using a combination of theoretical arguments and Monte Carlo simulations. Our results establish the presence of a…

Statistical Mechanics · Physics 2019-04-04 Neil Wilkins , Stephen Powell

Synchronization in a group of linear time-invariant systems is studied where the coupling between each pair of systems is characterized by a different output matrix. Simple methods are proposed to generate a (separate) linear coupling gain…

Dynamical Systems · Mathematics 2015-05-04 S. Emre Tuna

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

We report a similarity of fluctuations in equilibrium critical phenomena and non-equilibrium systems, which is based on the concept of natural time. The world-wide seismicity as well as that of San Andreas fault system and Japan are…

Geophysics · Physics 2007-05-23 P. A. Varotsos , N. V. Sarlis , H. K. Tanaka , E. S. Skordas

In this paper, we analyze the convergence as well as the rate of convergence of asynchronous distributed quadratic programming (QP) with dual decomposition technique. In general, distributed optimization requires synchronization of data at…

Optimization and Control · Mathematics 2015-06-22 Kooktae Lee , Raktim Bhattacharya

In his classical work, Kuramoto analytically described the onset of synchronization in all-to-all coupled networks of phase oscillators with random intrinsic frequencies. Specifically, he identified a critical value of the coupling…

Dynamical Systems · Mathematics 2018-08-15 Hayato Chiba , Georgi S. Medvedev , Matthew S. Mizuhara

The imbalance of buying and selling functions profoundly in the formation of market trends, however, a fine-granularity investigation of the imbalance is still missing. This paper investigates a unique transaction dataset that enables us to…

Computational Finance · Quantitative Finance 2018-02-06 Shan Lu , Jichang Zhao , Huiwen Wang

There are many studies dealing with the analysis of similarity among currencies in foreign exchange market by using network analysis approach. In those studies, each currency is represented by a univariate time series of exchange rate…

Statistical Finance · Quantitative Finance 2016-08-30 Mansooreh Kazemilari , Maman Abdurachman Djauhari , Zuhaimy Ismail

In this paper we address two questions about the synchronization of coupled oscillators in the Kuramoto model with all-to-all coupling. In the first part we use some classical results in convex geometry to prove bounds on the size of the…

Dynamical Systems · Mathematics 2021-08-11 Jared C. Bronski , Thomas E. Carty , Lee DeVille

Most of the analytical techniques used in the business cycle synchronisation literature rely upon the estimation of an empirical correlation matrix of time series data of macroeconomic aggregates, real GDP usually being the key variable.…

Statistical Finance · Quantitative Finance 2008-12-02 Paul Ormerod
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