Dynamical Systems, Graphs, and Algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamical Systems, Graphs, and Algorithms write by George Osipenko. This book was released on 2006-10-28. Dynamical Systems, Graphs, and Algorithms available in PDF, EPUB and Kindle. This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
Advances in Dynamical Systems Theory, Models, Algorithms and Applications
Advances in Dynamical Systems Theory, Models, Algorithms and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Dynamical Systems Theory, Models, Algorithms and Applications write by Bruno Carpentieri. This book was released on 2021-07-28. Advances in Dynamical Systems Theory, Models, Algorithms and Applications available in PDF, EPUB and Kindle. The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
Diagnosing Hybrid Dynamical Systems
Diagnosing Hybrid Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diagnosing Hybrid Dynamical Systems write by Michèle Basseville. This book was released on 1998. Diagnosing Hybrid Dynamical Systems available in PDF, EPUB and Kindle.
Discrete Networked Dynamic Systems
Discrete Networked Dynamic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Networked Dynamic Systems write by Magdi S. Mahmoud. This book was released on 2020-11-06. Discrete Networked Dynamic Systems available in PDF, EPUB and Kindle. Discrete Networked Dynamic Systems: Analysis and Performance provides a high-level treatment of a general class of linear discrete-time dynamic systems interconnected over an information network, exchanging relative state measurements or output measurements. It presents a systematic analysis of the material and provides an account to the math development in a unified way. The topics in this book are structured along four dimensions: Agent, Environment, Interaction, and Organization, while keeping global (system-centered) and local (agent-centered) viewpoints. The focus is on the wide-sense consensus problem in discrete networked dynamic systems. The authors rely heavily on algebraic graph theory and topology to derive their results. It is known that graphs play an important role in the analysis of interactions between multiagent/distributed systems. Graph-theoretic analysis provides insight into how topological interactions play a role in achieving coordination among agents. Numerous types of graphs exist in the literature, depending on the edge set of G. A simple graph has no self-loop or edges. Complete graphs are simple graphs with an edge connecting any pair of vertices. The vertex set in a bipartite graph can be partitioned into disjoint non-empty vertex sets, whereby there is an edge connecting every vertex in one set to every vertex in the other set. Random graphs have fixed vertex sets, but the edge set exhibits stochastic behavior modeled by probability functions. Much of the studies in coordination control are based on deterministic/fixed graphs, switching graphs, and random graphs. This book addresses advanced analytical tools for characterization control, estimation and design of networked dynamic systems over fixed, probabilistic and time-varying graphs Provides coherent results on adopting a set-theoretic framework for critically examining problems of the analysis, performance and design of discrete distributed systems over graphs Deals with both homogeneous and heterogeneous systems to guarantee the generality of design results
Applications of graph theory
Applications of graph theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applications of graph theory write by Anderson Grant. This book was released on 2012. Applications of graph theory available in PDF, EPUB and Kindle.
