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The problem of selection, storage, search and analysis of information about the state, functioning and interaction of elements of complex hierarchical network systems is considered. The principles of construction of information models of…

Physics and Society · Physics 2021-06-17 Olexandr Polishchuk , Mykhailo Yadzhak

A stochastic dynamics framework for the study of complex systems is presented.

Statistical Mechanics · Physics 2007-05-23 L. S. Schulman , B. Gaveau

The concept of random dynamical system is a comparatively recent development combining ideas and methods from the well developed areas of probability theory and dynamical systems. Due to our inaccurate knowledge of the particular physical…

Dynamical Systems · Mathematics 2007-05-23 Vitor Araujo

Identifying and understanding modular organizations is centrally important in the study of complex systems. Several approaches to this problem have been advanced, many framed in information-theoretic terms. Our treatment starts from the…

Adaptation and Self-Organizing Systems · Physics 2015-01-19 Artemy Kolchinsky , Luis M. Rocha

This paper establishes a general framework for describing hybrid dynamical systems which is particularly suitable for numerical simulation. In this context, the data structures used to describe the sets and functions which comprise the…

chao-dyn · Physics 2008-02-03 Allen Back , John Guckenheimer , Mark Myers

We consider the problem of classifying trajectories generated by dynamical systems. We investigate a model-based approach, the common approach in control engineering, and a data-driven approach based on Support Vector Machines, a popular…

Systems and Control · Computer Science 2018-03-29 Giorgio Battistelli , Pietro Tesi

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

The scope of this work is to provide a self-contained introduction to a selection of basic theoretical aspects in the modeling and control of quantum mechanical systems, as well as a brief survey on the main approaches to control synthesis.…

Quantum Physics · Physics 2012-10-29 Claudio Altafini , Francesco Ticozzi

In this short note, we discuss the basic approach to computational modeling of dynamical systems. If a dynamical system contains multiple time scales, ranging from very fast to slow, computational solution of the dynamical system can be…

Numerical Analysis · Mathematics 2012-05-15 Johan Jansson , Claes Johnson , Anders Logg

Complex Systems were identified and studied in different fields, such as physics, biology, and economics. These systems exhibit exciting properties such as self-organization, robust order, and emergence. In recent years, software systems…

Software Engineering · Computer Science 2023-06-22 Jan Žižka , Bruno Rossi , Tomáš Pitner

Effective control requires knowledge of the process dynamics to guide the system toward desired states. In many control applications this knowledge is expressed mathematically or through data-driven models, however, as complexity grows…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Joseph Park , George Sugihara , Gerald Pao

This chapter provides a comprehensive overview of controlling collective behavior in complex systems comprising large ensembles of interacting dynamical agents. Building upon traditional control theory's foundation in individual systems, we…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Marco Coraggio , Davide Salzano , Mario di Bernardo

When designing systems that are complex, dynamic and stochastic in nature, simulation is generally recognised as one of the best design support technologies, and a valuable aid in the strategic and tactical decision making process. A…

Neural and Evolutionary Computing · Computer Science 2013-05-30 Peer-Olaf Siebers , Uwe Aickelin

This paper presents the main components of the decision assisting systems. Further on three types of architectures of these systems are described, analyzed, and respectively compared, namely: the network architecture, the centralized…

Other Computer Science · Computer Science 2009-06-05 Cristina Ofelia Stanciu

This article provides an overview of model predictive control (MPC) frameworks for dynamic operation of nonlinear constrained systems. Dynamic operation is often an integral part of the control objective, ranging from tracking of reference…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Johannes Köhler , Matthas A. Müller , Frank Allgöwer

Consider briefly the equations of fluid dynamics-they describe the enormous wealth of detail in all the interacting physical elements of a fluid flow-whereas in applications we want to deal with a description of just that which is…

chao-dyn · Physics 2016-08-31 A. J. Roberts

We offer an insight into our mathematical endeavors, which aim to advance the foundational understanding of energy systems in a broad context, encompassing facets such as charge transport, energy storage, markets, and collective behavior.…

General Mathematics · Mathematics 2024-12-30 Nicklas Jävergård , Grigor Nika , Adrian Muntean

The survey methodological paper addresses a glance to a general decision support platform technology for modular systems (modular/composite alterantives/solutions) in various applied domains. The decision support platform consists of seven…

Systems and Control · Computer Science 2014-08-26 Mark Sh. Levin

The aim of this text is to provide a linguistically accessible, but comprehensive introduction into a variety of topics in dynamical systems and its applications. Whilst preliminary knowledge of dynamical systems is useful, it is not…

Dynamical Systems · Mathematics 2026-01-09 Eugene Tan , David Walker , Michael Small , Braden Thorne

A trend across most areas where simulation-driven development is used is the ever increasing size and complexity of the systems under consideration, pushing established methods of modeling and simulation towards their limits. This paper…

Numerical Analysis · Mathematics 2019-09-04 Gerald Schweiger , Henrik Nilsson , Josef Schoeggl , Wolfgang Birk , Alfred Posch