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We consider regular lattices of coupled chaotic maps. Depending on lattice size, there may exist a window in parameter space where complete synchronization is eventually attained after a transient regime. Close outside this window, an…

Chaotic Dynamics · Physics 2009-11-11 C. Anteneodo , A. M. Batista , R. L. Viana

In this paper, we present a novel framework for quantifying a lower bound on resilience in continuous-time (non)linear systems subject to external disturbances while ensuring satisfaction of signal temporal logic specifications. Unlike…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Ratnangshu Das , Negar Monir , Youssef Ait Si , Adnane Saoud , Sadegh Soudjani , Pushpak Jagtap

The sensitivity properties of intermittent control are analysed and the conditions for a limit cycle derived theoretically and verified by simulation.

Systems and Control · Computer Science 2017-05-24 Peter J. Gawthrop

Oftentimes in practice, the observed process changes statistical properties at an unknown point in time and the duration of a change is substantially finite, in which case one says that the change is intermittent or transient. We provide an…

Applications · Statistics 2023-04-11 Grigory Sokolov , Valentin S. Spivak , Alexander G. Tartakovsky

We study the limiting behavior of continuous time trawl processes which are defined using an infinitely divisible random measure of a time dependent set. In this way one is able to define separately the marginal distribution and the…

Probability · Mathematics 2017-08-10 Danijel Grahovac , Nikolai N. Leonenko , Murad S. Taqqu

Stochastic traffic capacity is used in traffic modelling and control for unidirectional sections of road infrastructure, although some of the estimation methods have recently proved flawed. However, even sound estimation methods require…

Applications · Statistics 2026-02-24 Igor Mikolasek

Through numerical simulations we analyze the synchronization time and the Lyapunov dimension of a coupled map lattice consisting of a chain of chaotic logistic maps exhibiting power law interactions. From the observed behaviors we find a…

Chaotic Dynamics · Physics 2016-08-16 Sandro E. de Souza Pinto , José T. Lunardi , Abdala M. Saleh , Antonio M. Batista

In this paper, we extend the recent body of work on planning under uncertainty to include the fact that sensors may not provide any measurement owing to misdetection. This is caused either by adverse environmental conditions that prevent…

Robotics · Computer Science 2013-09-17 Shaunak D. Bopardikar , Brendan J. Englot , Alberto Speranzon

Dependence of the transient process duration on the initial conditions is considered in one- and two-dimensional systems with discrete time, representing a logistic map and the Eno map, respectively.

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

Methodology · Statistics 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

This paper addresses the challenge of ensuring robustness in the presence of system perturbations for symbolic control techniques. Given a discrete-time control system that is related to its symbolic model by an alternating simulation…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Youssef Ait Si , Antoine Girard , Adnane Saoud

The logistic map is a paradigmatic dynamical system originally conceived to model the discrete-time demographic growth of a population, which shockingly, shows that discrete chaos can emerge from trivial low-dimensional non-linear dynamics.…

Chaotic Dynamics · Physics 2016-04-20 Alexandre L'Her , Pablo Amil , Nicolas Rubido , Arturo C. Marti , Cecilia Cabeza

This note uses a simple example to show how moment inequality models used in the empirical economics literature lead to general minimax relative efficiency comparisons. The main point is that such models involve inference on a low…

Applications · Statistics 2014-12-19 Timothy B. Armstrong

In this paper we explore the problem of achieving efficient packet transmission over unreliable links with worst case occurrence of errors. In such a setup, even an omniscient offline scheduling strategy cannot achieve stability of the…

Networking and Internet Architecture · Computer Science 2013-06-10 Antonio Fernández Anta , Chryssis Georgiou , Dariusz R. Kowalski , Joerg Widmer , Elli Zavou

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We…

Logic in Computer Science · Computer Science 2015-07-15 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

We consider random i.i.d. samples of absolutely continuous measures on bounded connected domains. We prove an upper bound on the $\infty$-transportation distance between the measure and the empirical measure of the sample. The bound is…

Probability · Mathematics 2014-07-07 Nicolás García Trillos , Dejan Slepčev

This paper presents a methodology for temporal logic verification of discrete-time stochastic systems. Our goal is to find a lower bound on the probability that a complex temporal property is satisfied by finite traces of the system.…

Systems and Control · Computer Science 2019-11-22 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

Many complex engineering systems consist of multiple subsystems that are developed by different teams of engineers. To analyse, simulate and control such complex systems, accurate yet computationally efficient models are required. Modular…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

Establishing bounds on the accuracy achievable by localization techniques represents a fundamental technical issue. Bounds on localization accuracy have been derived for cases in which the position of an agent is estimated on the basis of a…

Information Theory · Computer Science 2013-03-12 Francesco Montorsi , Santiago Mazuelas , Giorgio M. Vitetta , Moe Z. Win

It has been recently discovered that some random processes may satisfy limit theorems even though they exhibit intermittency, namely an unusual growth of moments. In this paper we provide a deeper understanding of these intricate limiting…

Probability · Mathematics 2022-11-23 Danijel Grahovac , Nikolai N. Leonenko , Murad S. Taqqu
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