Dynamical Systems : Examples of Complex Behaviour

Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of d...

पूर्ण विवरण

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ग्रंथसूची विवरण
मुख्य लेखक: Jost, Jürgen, 1956-...., mathématicien
स्वरूप: Livre numérique
भाषा:Anglais
प्रकाशित: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
संस्करण:1st ed. 2005.
श्रृंखला:Universitext
ऑनलाइन पहुंच:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
टिप्पणी: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Dynamical systems, examples of complex behaviour, Jürgen Jost, 2005, Berlin, Springer, 1 vol. (VIII-189 p.), Universitext, 978-3-540-22908-7
• Dynamical Systems, Texte imprimé, 9783540803485
• Dynamical systems, examples of complex behaviour, Jürgen Jost, 2005, Berlin, Springer, 1 vol. (VIII-189 p.), Universitext, 978-3-540-22908-7
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505 1 |a Stability of dynamical systems, bifurcations, and generic properties Discrete invariants of dynamical systems Entropy and topological aspects of dynamical systems Entropy and metric aspects of dynamical systems Entropy and measure theoretic aspects of dynamical systems Smooth dynamical systems Cellular automata and Boolean networks as examples of discrete dynamical systems 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of dynamical systems, nor a detailed historical account of its development. We try to explain the important results, often neglecting technical re?nements 1 and, usually, we do not provide proofs. One of the basic questions in studying dynamical systems, i.e. systems that evolve in time, is the construction of invariants that allow us to classify qualitative types of dynamical evolution, to distinguish between qualitatively di?erent dynamics, and to studytransitions between di?erent types. Itis also important to ?nd out when a certain dynamic behavior is stable under small perturbations, as well as to understand the various scenarios of instability. Finally, an essential aspect of a dynamic evolution is the transformation of some given initial state into some ?nal or asymptotic state as time proceeds. Thetemporalevolutionofadynamicalsystemmaybecontinuousordiscrete, butitturnsoutthatmanyoftheconceptstobeintroducedareusefulineither case 
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