Nantilus
Dynamical Systems, Graphs, and Algorithms
The book presents constructive methods of symbolic dynamics and their applications to the study of continuous and discrete dynamical systems. The main idea is the construction of a directed graph which represents the str- ture of the state space for the investigated dynamical system. The book c- tai...
| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Dynamical Systems, Graphs, and Algorithms / George Osipenko |
| Édition : | 1st ed. 2007. |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
| Collection : | Lecture notes in mathematics (Internet) ; 1889 |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | Symbolic Image. Periodic Trajectories. Newton's Method. Invariant Sets. Chain Recurrent Set. Attractors. Filtration. Structural Graph. Entropy. Projective Space and Lyapunov Exponents. Morse Spectrum. Hyperbolicity and Structural Stability. Controllability. Invariant Manifolds. Ikeda Mapping Dynamics. A Dynamical System of Mathematical Biology |
| Sujets : | |
| Documents associés : | Autre format:
Dynamical systems, graphs, and algorithms Autre format: Dynamical Systems, Graphs, and Algorithms Autre format: Dynamical systems, graphs, and algorithms |
| Résumé : | The book presents constructive methods of symbolic dynamics and their applications to the study of continuous and discrete dynamical systems. The main idea is the construction of a directed graph which represents the str- ture of the state space for the investigated dynamical system. The book c- tains a su?cient number of examples of concrete dynamical systems from illustrative ones to systems of current interest. Results of their numerical s- ulations with detailed comments are presented. For an understanding of the book matter, it is su?cient to be acquainted with a general course of ordinary di?erential equations. The new theoretical results are presented with proofs; the most attention is given to their applications. The book is designed for - niorstudentsandresearchesengagedinapplications ofthedynamicalsystems theory. The base of the presented book is the course of lectures given during the YouthWorkshop ComputerModelingofDynamicalSystems (June2004,St. Petersburg) initiated and supported by the UNESCO-ROSTE. Parts of these lectures were presented in ETH, Zurich, 1992; Pohang University of Techn- ogy, South Korea, 1993; Belmont University, USA, 1996; St. Petersburg U- versity, Russia, 1999; Suleyman Demirel University, Turkey, 2000; Augsburg University, Germany, 2001; Kalmer University, Sweden, 2004. Symbolic image, coding, pseudo-orbit, shadowing property, Newton method, attractor, ?ltration, structural graph, entropy, projective space, L- punov exponent, Morse spectrum, hyperbolicity, structural stability, contr- lability, invariant manifold, chaos |
|---|---|
| Notes : | L'impression du document génère 297 p. Notice modifiée après consultation du 06-05-2011 |
| Bibliographie : | Bibliogr. Index |
| ISBN : | 978-3-540-35595-3 |
| DOI : | 10.1007/3-540-35593-6 |