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Related papers: About Evaluation of Complex Dynamical Systems

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This article develops variational integrators for a class of underactuated mechanical systems using the theory of discrete mechanics. Further, a discrete optimal control problem is formulated for the considered class of systems and…

Systems and Control · Computer Science 2018-11-16 Siddharth H. Nair , Ravi N. Banavar

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

In this paper, an approach to facilitate the treatment with variabilities in system families is presented by explicitly modelling variants. The proposed method of managing variability consists of a variant part, which models variants and a…

Software Engineering · Computer Science 2010-09-28 Shamim Hasnat Ripon , Kamrul Hasan Talukder , Khademul Islam Molla

In this paper, an approach to facilitate the treatment with variabilities in system families is presented by explicitly modelling variants. The proposed method of managing variability consists of a variant part, which models variants and a…

Software Engineering · Computer Science 2013-10-02 Shamim H. Ripon

This special issue collects contributions from the participants of the "Information in Dynamical Systems and Complex Systems" workshop, which cover a wide range of important problems and new approaches that lie in the intersection of…

Chaotic Dynamics · Physics 2015-05-19 Erik M. Bollt , Jie Sun

Complex system simulation has been playing an irreplaceable role in understanding, predicting, and controlling diverse complex systems. In the past few decades, the multi-scale simulation technique has drawn increasing attention for its…

Systems and Control · Electrical Eng. & Systems 2024-07-25 Huandong Wang , Huan Yan , Can Rong , Yuan Yuan , Fenyu Jiang , Zhenyu Han , Hongjie Sui , Depeng Jin , Yong Li

Empirical analysis serves as an important complement to theoretical analysis for studying practical Bayesian optimization. Often empirical insights expose strengths and weaknesses inaccessible to theoretical analysis. We define two metrics…

Machine Learning · Computer Science 2016-04-01 Ian Dewancker , Michael McCourt , Scott Clark , Patrick Hayes , Alexandra Johnson , George Ke

This document is both a synthesis of current notions about complex systems, and a practical approach description. A disambiguation is proposed and exposes possible reasons for controversies related to causation and emergence. Theoretical…

Adaptation and Self-Organizing Systems · Physics 2008-03-05 Nicolas Brodu

The correct computation of orbits of discrete dynamical systems on the interval is considered. Therefore, an arbitrary-precision floating-point approach based on automatic error analysis is chosen and a general algorithm is presented. The…

Numerical Analysis · Computer Science 2015-03-13 Christoph Spandl

While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

Machine Learning · Statistics 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

Methods for interactive evaluation of the functioning efficiency of the motor transport system for a large city based on the use of U-statistics methods has been formalized. To optimize this technique, effective algorithmic constructions…

Physics and Society · Physics 2023-01-02 O. D. Polishchuk , M. S. Yadzhak

Region of the country is treated as an open megasystem that consists of many interconnected complex network systems. Classification of such systems on the basis of ordered motion of flows is performed. The main approaches to investigation…

Physics and Society · Physics 2016-04-15 Olexandr Polishchuk , Dmytro Polishchuk , Maria Tyutyunnyk , Mykhailo Yadzhak

A complex system is a system composed of many interacting parts, often called agents, which displays collective behavior that does not follow trivially from the behaviors of the individual parts. Examples include condensed matter systems,…

Statistical Mechanics · Physics 2011-12-08 M. E. J. Newman

Urban mobility systems are composed multiple elements with strong interactions, i.e. their future is co-determined by the state of other elements. Thus, studying components in isolation, i.e. using a reductionist approach, is inappropriate.…

Adaptation and Self-Organizing Systems · Physics 2016-03-15 Carlos Gershenson

The modeling of complex systems such as ecological or socio-economic systems can be very challenging. Although various modeling approaches exist, they are generally not compatible and mutually consistent, and empirical data often do not…

Physics and Society · Physics 2010-07-19 Dirk Helbing

We describe here our perception of complex systems, of how we feel the different layers of description are important part of a correct complex system simulation. We describe a rough models categorization between rules based and law based,…

Fluid Dynamics · Physics 2007-12-18 Pierrick Tranouez , Cyrille Bertelle , Damien Olivier

This paper is motivated by the theory of sequential dynamical systems, developed as a basis for a mathematical theory of computer simulation. It contains a classification of finite dynamical systems on binary strings, which are obtained by…

Dynamical Systems · Mathematics 2007-05-23 Luis Garcia , Abdul Salam Jarrah , Reinhard Laubenbacher

Computer-based modelling and simulation have become useful tools to facilitate humans to understand systems in different domains, such as physics, astrophysics, chemistry, biology, economics, engineering and social science. A complex system…

Artificial Intelligence · Computer Science 2021-02-03 Xing Su , Yan Kong , Weihua Li

To study discrete dynamical systems of different types --- deterministic, statistical and quantum --- we develop various approaches. We introduce the concept of a system of discrete relations on an abstract simplicial complex and develop…

Mathematical Physics · Physics 2010-11-10 Vladimir V. Kornyak