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Sinopsis
At the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theory of differential equations and introduced geometric- topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications.
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Stefan Pickl ist seit 1980 Professor für Operations Research an der Universität der Bundeswehr München. Werner Krabs war Professor am Fachbereich Mathematik an der TU Darmstadt. Er wurde 1999 emeritiert.
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At the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theory of differential equations and introduced geometric-topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications.
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Dynamical Systems : Stability, Controllability and Chaotic Behavior
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Springer-Verlag GmbH, 2010
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Dynamical Systems
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Interesting and actual topicUnique characterizationRelevant related real-world examples (Environmental Management/ Medicine)Stefan Pickl ist seit 1980 Professor fuer Operations Research an der Universitaet der Bundeswehr Muenchen. Werner Krabs war Professo. Nº de ref. del artículo: 5050280
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Dynamical Systems: Stability, Controllability and Chaotic Behavior
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Dynamical Systems
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Berlin Springer Berlin Heidelberg Springer Sep 2010, 2010
ISBN 10: 3642137210
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -At the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theory of differential equations and introduced geometric- topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications. 238 pp. Englisch. Nº de ref. del artículo: 9783642137211
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Dynamical Systems: Stability, Controllability and Chaotic Behavior
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Dynamical Systems : Stability, Controllability and Chaotic Behavior
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Springer, Berlin, Springer Berlin Heidelberg, Springer, 2010
ISBN 10: 3642137210
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - At the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theory of differential equations and introduced geometric- topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications. Nº de ref. del artículo: 9783642137211
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Pickl:Dynamical Systems (eng)
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Dynamical Systems
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Dynamical Systems
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Dynamical Systems: Stability, Controllability and Chaotic Behavior
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Hardcover. Condición: Brand New. 2010 edition. 248 pages. 9.25x6.25x0.75 inches. In Stock. Nº de ref. del artículo: x-3642137210
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