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We consider the External Clock Synchronization problem in dynamic sensor networks. Initially, sensors obtain inaccurate estimations of an external time reference and subsequently collaborate in order to synchronize their internal clocks…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-11 Ofer Feinerman , Amos Korman

A group of cooperative aerial robots can be deployed to efficiently patrol a terrain, in which each robot flies around an assigned area and shares information with the neighbors periodically in order to protect or supervise it. To ensure…

A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework contains several classical queueing network models, including generalized…

Probability · Mathematics 2007-05-23 Marc Lelarge

We develop the semiclassical method of complex trajectories in application to chaotic dynamical tunneling. First, we suggest a systematic numerical technique for obtaining complex tunneling trajectories by the gradual deformation of the…

Chaotic Dynamics · Physics 2008-11-26 D. G. Levkov , A. G. Panin , S. M. Sibiryakov

Distribution-dependent stochastic dynamical systems arise widely in engineering and science. We consider a class of such systems which model the limit behaviors of interacting particles moving in a vector field with random fluctuations. We…

Numerical Analysis · Mathematics 2023-09-15 Wei Wei , Jianyu Hu

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…

We study an ensemble of random walkers carrying internal noisy phase oscillators which are synchronized among the walkers by local interactions. Due to individual mobility, the interaction partners of every walker change randomly, hereby…

Statistical Mechanics · Physics 2016-05-04 Robert Großmann , Fernando Peruani , Markus Bär

Synchronization of chaotic units coupled by their time delayed variables are investigated analytically. A new type of cooperative behavior is found: sublattice synchronization. Although the units of one sublattice are not directly coupled…

Chaotic Dynamics · Physics 2009-11-13 Johannes Kestler , Wolfgang Kinzel , Ido Kanter

Asynchronous executions of a distributed algorithm differ from each other due to the nondeterminism in the order in which the messages exchanged are handled. In many situations of interest, the asynchronous executions induced by restricting…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-11 Ricardo C. Correa , Valmir C. Barbosa

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

Statistical Mechanics · Physics 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado

We analyse the relationship between irrationality and quasiperiodicity in nonlinear driven systems. To that purpose we consider a nonlinear system whose steady-state response is very sensitive to the periodic or quasiperiodic character of…

Statistical Mechanics · Physics 2014-05-07 David Cubero , Jesus Casado-Pascual , Ferruccio Renzoni

This work addresses synchronization in transient, non-linear stochastic dynamics corresponding to accesses performed by self-avoiding walks originating at each node of a complex network. More specifically, the synchronizability of accesses…

Physics and Society · Physics 2008-01-17 Luciano da Fontoura Costa

Large-scale neuromorphic architectures consist of computing tiles that communicate spikes using a shared interconnect. The communication patterns in such systems are inherently sparse, asynchronous, and localized due to the spiking nature…

Neural and Evolutionary Computing · Computer Science 2025-11-21 Phu Khanh Huynh , Francky Catthoor , Anup Das

This paper presents a framework for the study of convergence when the nodes' dynamics may be both piecewise smooth and/or nonidentical across the network. Specifically, we derive sufficient conditions for global convergence of all node…

Dynamical Systems · Mathematics 2014-04-08 Pietro DeLellis , Mario di Bernardo , Davide Liuzza

A path information is defined in connection with different possible paths of irregular dynamic systems moving in its phase space between two points. On the basis of the assumption that the paths are physically differentiated by their…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

Synchronization resulting in unified collective behavior of the individual elements of a system that are weakly coupled to each other has long fascinated scientists. Examples range from the periodic oscillation of coupled pendulum clocks to…

We investigate bifurcation phenomena between slow and fast convergences of synchronization errors arising in the proposed synchronization system consisting of two identical nonlinear dynamical systems linked by a common noisy input only.…

Dynamical Systems · Mathematics 2009-09-09 Katsutoshi Yoshida , Yusuke Nishizawa

Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the…

Chaotic Dynamics · Physics 2016-09-08 Jianping Cai , Meili Lin

This paper develops and analyzes an optimal-order semi-discrete scheme and its fully discrete finite element approximation for nonlinear stochastic elastic wave equations with multiplicative noise. A non-standard time-stepping scheme is…

Numerical Analysis · Mathematics 2025-04-08 Xiaobing Feng , Yukun Li , Liet Vo

In this paper, we utilize event-triggered coupling configuration to realize synchronization of linearly coupled dynamical systems. Here, the diffusion couplings are set up from the latest observations of the nodes of its neighborhood and…

Adaptation and Self-Organizing Systems · Physics 2015-02-13 Wenlian Lu , Yujuan Han , Tianping Chen