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Numerical models are starting to be used for determining the future behaviour of seismic faults and fault networks. Their final goal would be to forecast future large earthquakes. In order to use them for this task, it is necessary to…

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

Using error diagrams, we quantify the forecasting of characteristic-earthquake occurrence in a recently introduced minimalist model. Initially we connect the earthquake alarm at a fixed time after the ocurrence of a characteristic event.…

In applications of dynamical systems, situations can arise where it is desired to predict the onset of synchronization as it can lead to characteristic and significant changes in the system performance and behaviors, for better or worse. In…

Adaptation and Self-Organizing Systems · Physics 2021-06-30 Huawei Fan , Ling-Wei Kong , Ying-Cheng Lai , Xingang Wang

The searching for the stable patterns in the evolution of cellular automata is implemented using stochastic synchronization between the present structures of the system and its precedent configurations. For most of the known evolution rules…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

We present an axiomatic approach to earthquake forecasting in terms of multi-component random fields on a lattice. This approach provides a method for constructing point estimates and confidence intervals for conditional probabilities of…

Geophysics · Physics 2013-10-29 V. Gertsik , M. Kelbert , A. Krichevets

In this paper we propose an application of adaptive synchronization of chaos to detect changes in the topology of a mobile robotic network. We assume that the network may evolve in time due to the relative motion of the mobile robots and…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 Nicola Bezzo , Patricio J. Cruz Davalos , Francesco Sorrentino , Rafael Fierro

Analogs are nearest neighbors of the state of a system. By using analogs and their successors in time, one is able to produce empirical forecasts. Several analog forecasting methods have been used in atmospheric applications and tested on…

Data Analysis, Statistics and Probability · Physics 2021-07-28 P Platzer , P. Yiou , P. Naveau , P Tandeo , Y Zhen , P Ailliot , J-F Filipot

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

We study the regime of anticipated synchronization recently described on a number of dynamical systems including chaotic and noisy ones. We use simple linear caricatures to show the minimal setups able to reproduce the basic facts…

Condensed Matter · Physics 2007-09-27 Oscar Calvo , Dante R. Chialvo , Victor M. Eguiluz , Claudio Mirasso , Raul Toral

A method of targeting engineering synchronization states in two identical and mismatch chaotic systems is explained in details. The method is proposed using linear feedback controller coupling for engineering synchronization such as mixed…

Chaotic Dynamics · Physics 2015-06-16 Sourav K. Bhowmick , Dibakar Ghosh

Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph's units and the microscopic arrangement of the network's structure. For non identical elements, the lack of…

Adaptation and Self-Organizing Systems · Physics 2016-01-20 A. Navas , J. A. Villacorta-Atienza , I. Leyva , J. A. Almendral , I. Sendiña-Nadal , S. Boccaletti

Predicting chaotic dynamical systems is critical in many scientific fields, such as weather forecasting, but challenging due to the characteristic sensitive dependence on initial conditions. Traditional modeling approaches require extensive…

Machine Learning · Computer Science 2025-03-12 Christof Schötz , Alistair White , Maximilian Gelbrecht , Niklas Boers

We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them…

This paper proposes a general model for synchronized crowding behavior. An order parameter is introduced to quantify the level of synchronization which is shown a function of percentage of agents in reactive state. Further, synchronization…

General Finance · Quantitative Finance 2016-12-06 Jake J. Xia

We examine the precursory behavior of geoelectric signals before large earthquakes by means of an algorithm including an alarm-based model and binary classification. This algorithm, introduced originally by Chen and Chen [Nat. Hazards., 84,…

Geophysics · Physics 2019-07-15 Hong-Jia Chen , Chien-Chih Chen , Guy Ouillon , Didier Sornette

We propose an asymmetric modification of the sand-pile-like cellular automaton for earthquake modeling. The cumulative event distribution is shown to be dependent on the asymmetry parameter.

chao-dyn · Physics 2007-05-23 P. G. Akishin , M. V. Altaisky , A. D. Budnik , V. V. Ivanov , I. Antoniou

This paper is concerned with synchronization of complex stochastic dynamical networks in the presence of noise and functional uncertainty. A probabilistic control method for adaptive synchronization is presented. All required probabilistic…

Optimization and Control · Mathematics 2016-12-20 Randa Herzallah

We address the issue of how to identify the equations of a largely unknown chaotic system from knowledge about its state evolution. The technique can be applied to the estimation of parameters that drift slowly with time. To accomplish…

Disordered Systems and Neural Networks · Physics 2009-09-17 Francesco Sorrentino , Edward Ott

We show that chaos is present in the symmetric two-block Burridge-Knopoff model for earthquakes. This is in contrast with previous numerical studies, but in agreement with experimental results. In this system, we have found a rich dynamical…

Statistical Mechanics · Physics 2009-10-31 Maria de Sousa Vieira
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