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Several notions of conformance have been proposed for checking the behavior of cyber-physical systems against their hybrid systems models. In this paper, we explore the initial idea of a notion of approximate conformance that allows for…

Logic in Computer Science · Computer Science 2016-12-16 Morteza Mohaqeqi , Mohammad Reza Mousavi

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

It is shown that the synchronization behavior of a system of chaotic maps subject to either an external forcing or a coupling function of their internal variables can be inferred from the behavior of a single element in the system, which…

Chaotic Dynamics · Physics 2015-05-19 M. G. Cosenza , O. Alvarez-Llamoza , G. Paredes

Multiparty session types are designed to abstractly capture the structure of communication protocols and verify behavioural properties. One important such property is progress, i.e., the absence of deadlock. Distributed algorithms often…

Logic in Computer Science · Computer Science 2024-02-14 Kirstin Peters , Uwe Nestmann , Christoph Wagner

Physiological networks are usually made of a large number of biological oscillators evolving on a multitude of different timescales. Phase oscillators are particularly useful in the modelling of the synchronization dynamics of such systems.…

Adaptation and Self-Organizing Systems · Physics 2026-01-27 Melvyn Tyloo

Open dynamical systems are mathematical models of machines that take input, change their internal state, and produce output. For example, one may model anything from neurons to robots in this way. Several open dynamical systems can be…

Dynamical Systems · Mathematics 2016-02-25 David I. Spivak

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…

This paper examines how weak synaptic coupling can achieve rapid synchronization in heterogeneous networks. The assumptions aim at capturing the key mathematical properties that make this possible for biophysical networks. In particular,…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Jin Gyu Lee , Rodolphe Sepulchre

In this paper, we present an epistemic logic approach to the compositionality of several privacy-related informationhiding/ disclosure properties. The properties considered here are anonymity, privacy, onymity, and identity. Our initial…

Cryptography and Security · Computer Science 2013-10-29 Yasuyuki Tsukada , Hideki Sakurada , Ken Mano , Yoshifumi Manabe

The properties of a coherent system with a single general standby component is investigated. Here three different switch over viz. perfect switching, imperfect switching and random worm up period of the standby component are considered with…

Applications · Statistics 2020-11-13 Pradip Kundu , Nil Kamal Hazra , Asok K. Nanda

In open quantum systems, the interaction of the system with its environment gives rise to two types of symmetry: a strong one, where the system's symmetry charge is conserved exactly, and a weak one, where the system can exchange symmetry…

Quantum Physics · Physics 2025-12-01 Ze-Min Huang , Sebastian Diehl , Xiao-Qi Sun

All interesting and fascinating collective properties of a complex system arise from the intricate way in which its components interact. Various systems in physics, biology, social sciences and engineering have been successfully modelled as…

Adaptation and Self-Organizing Systems · Physics 2021-04-23 L. V. Gambuzza , F. Di Patti , L. Gallo , S. Lepri , M. Romance , R. Criado , M. Frasca , V. Latora , S. Boccaletti

The performance of storage hardware has improved vastly recently, leaving the traditional I/O stack incapable of exploiting these gains due to increasingly large relative overheads. Newer asynchronous I/O APIs, such as io_uring, have…

Databases · Computer Science 2024-11-26 Constantin Pestka , Marcus Paradies , Matthias Pohl

One approach to monitoring a dynamic system relies on decomposition of the system into weakly interacting subsystems. An earlier paper introduced a notion of weak interaction called separability, and showed that it leads to exact…

Machine Learning · Computer Science 2012-07-02 Avi Pfeffer

Randomly evolving systems composed by elements which interact among each other have always been of great interest in several scientific fields. This work deals with the synchronization phenomenon, that could be roughly defined as the…

Probability · Mathematics 2017-12-18 Giacomo Aletti , Irene Crimaldi , Andrea Ghiglietti

A novel approach is being developed to introduce a parallel asynchronous implementation of non-intrusive global-local coupling. This study examines scenarios involving numerous patches, including those covering the entire structure. By…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-23 Ahmed El Kerim , Pierre Gosselet , Frédéric Magoulès

Cellular Automata (CA) are a class of discrete dynamical systems that have been widely used to model complex systems in which the dynamics is specified at local cell-scale. Classically, CA are run on a regular lattice and with perfect…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Nazim A. Fates , Michel Morvan

A condition for the synchronizability of a pair of PDE systems, coupled through a finite set of variables, is commonly the existence of internal synchronization or internal coherence in each system separately. The condition was previously…

Chaotic Dynamics · Physics 2013-05-29 Gregory S. Duane

Generative models have achieved remarkable success across various applications, driving the demand for multi-GPU computing. Inter-GPU communication becomes a bottleneck in multi-GPU computing systems, particularly on consumer-grade GPUs. By…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Ke Hong , Xiuhong Li , Minxu Liu , Qiuli Mao , Tianqi Wu , Zixiao Huang , Lufang Chen , Zhong Wang , Yichong Zhang , Zhenhua Zhu , Guohao Dai , Yu Wang

Let $\Phi:\{0,1\}^{n}\longrightarrow\{0,1\}^{n}$. The asynchronous flows are (discrete time and real time) functions that result by iterating the coordinates $\Phi_{i}$ independently on each other. The purpose of the paper is that of…

General Mathematics · Mathematics 2015-04-23 Serban E. Vlad