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Related papers: Chaotic Logistic Map Forecast using Fuzzy Time Ser…

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In the last years, the adoption of active systems has increased in many fields of computer science, such as databases, sensor networks, and software engineering. These systems are able to automatically react to events, by collecting…

Logic in Computer Science · Computer Science 2012-03-29 Achille Frigeri , Liliana Pasquale , Paola Spoletini

Large-scale and multidimensional spatiotemporal data sets are becoming ubiquitous in many real-world applications such as monitoring urban traffic and air quality. Making predictions on these time series has become a critical challenge due…

Machine Learning · Statistics 2021-04-21 Xinyu Chen , Lijun Sun

Fundamental problems of periodicity and transient process to periodicity of chaotic trajectories in computer realization with finite computation precision is investigated by taking single and coupled Logistic maps as examples. Empirical…

Chaotic Dynamics · Physics 2009-11-10 Shihong Wang , Weirong Liu , Huaping Lu , Jinyu Kuang , Gang Hu

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during…

Chaotic Dynamics · Physics 2015-07-02 A. V. Makarenko

In this brief, an algorithm for controlling chaotic systems using small, continuous time perturbations is presented. Stabilisation is achieved by self controlling feedback using low order LTI filters. The algorithm alleviates the need of…

chao-dyn · Physics 2007-05-23 Pabitra Mitra

The full family of discrete logistic maps has been widely studied both as a canonical example of the period-doubling route to chaos, and as a model of natural processes. In this paper we present a study of the stochastic process described…

Dynamical Systems · Mathematics 2025-09-09 Kimberly Ayers , Ami Radunskaya

A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase filling a set of regions with random shapes and locations. A…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

From the climate system to the effect of the internet on society, chaotic systems appear to have a significant role in our future. Here a method of statistical learning for a class of chaotic systems is described along with underlying…

Applications · Statistics 2020-02-26 Michael LuValle

Reasoning about human motion is a core component of modern human-robot interactive systems. In particular, one of the main uses of behavior prediction in autonomous systems is to inform robot motion planning and control. However, a majority…

Robotics · Computer Science 2021-01-15 Boris Ivanovic , Amine Elhafsi , Guy Rosman , Adrien Gaidon , Marco Pavone

For appropriately chosen weights, temporal averages in chaotic systems can be approximated as a weighted sum of averages over reference states, such as unstable periodic orbits. Under strict assumptions, such as completeness of the orbit…

Dynamical Systems · Mathematics 2025-06-23 Joshua L. Pughe-Sanford , Sam Quinn , Teodor Balabanski , Roman O. Grigoriev

Multi-variate time series forecasting is an important problem with a wide range of applications. Recent works model the relations between time-series as graphs and have shown that propagating information over the relation graph can improve…

Machine Learning · Computer Science 2024-07-04 Harshavardhan Kamarthi , Lingkai Kong , Alexander Rodriguez , Chao Zhang , B Aditya Prakash

Reliability assessment of distribution system, based on historical data and probabilistic methods, leads to an unreliable estimation of reliability indices since the data for the distribution components are usually inaccurate or…

Artificial Intelligence · Computer Science 2017-07-17 Ahmad Shokrollahi , Hossein Sangrody , Mahdi Motalleb , Mandana Rezaeiahari , Elham Foruzan , Fattah Hassanzadeh

In this paper we show that the analysis of the dynamics in localized regions, i.e., sub-systems can be used to characterize the chaotic dynamics and the synchronization ability of the spatiotemporal systems. Using noisy scalar time-series…

chao-dyn · Physics 2009-10-30 Nita Parekh , V. Ravi Kumar , B. D. Kulkarni

The problem of statistical inference for open chaotic systems measured with error is complicated by the interaction of the uncertainty introduced by chaos, and the various sources of random or external variation. Here a method of…

Applications · Statistics 2024-03-11 Michael LuValle

The paper deals with a lot sizing problem with ill-known demands modeled by fuzzy intervals whose membership functions are possibility distributions for the values of the uncertain demands. Optimization criteria, in the setting of…

Other Computer Science · Computer Science 2012-10-22 Romain Guillaume , Przemyslaw Kobylanski , Pawel Zielinski

This paper proposes a new architecture of incremen-tal fuzzy inference system (also called Evolving Fuzzy System-EFS). In the context of classifying data stream in non stationary environment, concept drifts problems must be addressed.…

Artificial Intelligence · Computer Science 2019-07-23 Clement Leroy , Eric Anquetil , Nathalie Girard

This chapter offers a principled approach to the prediction of chaotic systems from data. First, we introduce some concepts from dynamical systems' theory and chaos theory. Second, we introduce machine learning approaches for…

Chaotic Dynamics · Physics 2026-04-14 Luca Magri , Andrea Nóvoa , Elise Özalp

Spatiotemporal chaos of a two-dimensional one-way coupled map lattice is used for chaotic cryptography. The chaotic outputs of many space units are used for encryption simultaneously. This system shows satisfactory cryptographic properties…

Chaotic Dynamics · Physics 2018-01-17 Shihong Wang , Weiping Ye , Huaping Lu , Jinyu Kuang , Jinghua Li , Yunlun Luo , Gang Hu

Traffic prediction in data-scarce, cross-city settings is challenging due to complex nonlinear dynamics and domain shifts. Existing methods often fail to capture traffic's inherent chaotic nature for effective few-shot learning. We propose…

Artificial Intelligence · Computer Science 2026-02-06 Abdul Joseph Fofanah , Lian Wen , David Chen , Alpha Alimamy Kamara , Zhongyi Zhang

This paper is devoted to a discussion of the Discrete Fourier Transform (DFT) representation of a chaotic finite-duration sequence. This representation has the advantage that is itself a finite-duration sequence corresponding to samples…

Chaotic Dynamics · Physics 2007-05-23 Carlos R. Fadragas , Juan V. Lorenzo-Ginori , Ruben Orozco-Morales