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Synchronization is the process of achieving identical dynamics among coupled identical units. If the units are different from each other, their dynamics cannot become identical; yet, after transients, there may emerge a functional…

Chaotic Dynamics · Physics 2016-11-09 Aditya Tandon , Malte Schröder , Manu Mannattil , Marc Timme , Sagar Chakraborty

The use of the annual maximum series for flood frequency analyses limits the considered information to one event per year and one sample that is assumed to be homogeneous. However, flood may have different generating processes, such as…

Applications · Statistics 2021-11-29 Svenja Fischer

The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This article reviews recent…

Methodology · Statistics 2012-08-17 A. C. Davison , S. A. Padoan , M. Ribatet

A coupled map model for the chaotic phase synchronization and its desynchronization phenomenon is proposed. The model is constructed by integrating the coupled kicked oscillator system, kicking strength depending on the complex state…

Chaotic Dynamics · Physics 2007-05-23 Hirokazu Fujisaka , Satoki Uchiyama , Takehiko Horita

This study investigates the synchronization dynamics of coupled-oscillator systems in which some of the oscillators are damaged and lose their autonomous oscillations. The damaged elements are modeled using damped oscillators; thus, the…

Adaptation and Self-Organizing Systems · Physics 2025-11-18 Shota Inagawa , Hiroki Hata , Shigefumi Hata

We study the dynamics of phase synchronization in growing populations of discrete phase oscillatory systems when the division process is coupled to the distribution of oscillator phases. Using mean field theory, linear stability analysis,…

Statistical Mechanics · Physics 2015-06-16 Wen Yu , Kevin B. Wood

In 1665, Christiaan Huygens reported the observation of the synchronization of two pendulum clocks hanged on the wall of his workshop. After synchronization, the clocks swung exactly in the same frequency and $180^{o}$ out of phase --…

Chaotic Dynamics · Physics 2008-04-22 Rui Dilao

We introduce and characterize two different measures which quantify the level of synchronization of interacting continuous variable quantum systems. The two measures allow to extend to the quantum domain the notions of complete and phase…

Quantum Physics · Physics 2013-09-11 A. Mari , A. Farace , N. Didier , V. Giovannetti , R. Fazio

Water temperature and dissolved oxygen are essential indicators of water quality and ecosystem sustainability. Lately, heavy rainfalls are happening frequently and forcefully affecting the thermal structure and mixing layers in depth by…

General Economics · Economics 2024-03-20 Shabnam Salehi , Mojtaba Ardestani

Timescale comparison between optical atomic clocks over ground-to-space and terrestrial free-space laser links will have enormous benefits for fundamental and applied science, from measurements of fundamental constants and searches for dark…

We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

Chaotic Dynamics · Physics 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

We present a model for variations in atmospheric temperature from time scales of one day to one million years based on a stochastic diffusion (random walk) model of the turbulent transport of heat energy vertically in a coupled…

ao-sci · Physics 2008-02-03 Jon D. Pelletier

Anticipated synchronisation occurs when a driven dynamical system synchronises with the future state of the driver system to which it is unidirectionally coupled. Previous theoretical and experimental studies have focused on setups with a…

Chaotic Dynamics · Physics 2026-03-04 David Ortiz del Campo , Tobias Galla , Raúl Toral

Climate change is commonly associated with an overall increase in mean temperature in a defined past time period. Many studies consider temperature trends at the global scale, but the literature is lacking in in-depth analysis of the…

Applications · Statistics 2022-10-12 Qibin Duan , Clare A. McGrory , Glenn Brown , Kerrie Mengersen , You-Gan Wang

Cavity point-to-set correlations are real-space tools to detect the roughening of the free-energy landscape that accompanies the dynamical slowdown of glass-forming liquids. Measuring these correlations in model glass formers remains,…

Statistical Mechanics · Physics 2016-01-26 Ludovic Berthier , Patrick Charbonneau , Sho Yaida

We analyze the synchronization dynamics of a model obtained from the phase reduction of the mean-field complex Ginzburg-Landau equation with heterogeneity. We present exact results that uncover the role of dissipative and reactive couplings…

Exactly Solvable and Integrable Systems · Physics 2014-01-31 Ernest Montbrió , Diego Pazó

Social media are transforming global communication and coordination. The data derived from social media can reveal patterns of human behavior at all levels and scales of society. Using geolocated Twitter data, we have quantified collective…

Physics and Society · Physics 2017-02-13 Alfredo J. Morales , Vaibhav Vavilala , Rosa M. Benito , Yaneer Bar-Yam

We study the time evolution of thermodynamic observables that characterise the dissipative nature of thermal relaxation after an instantaneous temperature quench. Combining tools from stochastic thermodynamics and large-deviation theory, we…

Statistical Mechanics · Physics 2023-03-06 Jan Meibohm , Massimiliano Esposito

We investigate a system of four nearest neighbour bidirectional coupled phase oscillators of dissimilar initial frequencies in a ring at the changeover into a synchronizing state. There are twenty four permutations upon assigning the…

Adaptation and Self-Organizing Systems · Physics 2023-03-23 Hassan F. El-Nashar , M. S. Mahmoud , M. Medhat

Among the many ways of investigating coronal heating, the time lag method of Viall & Klimchuk (2012) is becoming increasingly prevalent as an analysis technique complementary to those traditionally used. The time lag method cross correlates…

Solar and Stellar Astrophysics · Physics 2016-09-21 Nicholeen M. Viall , James A. Klimchuk