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Das Buch bietet eine kompakte und grundlegende Einführung in die Theorie gewöhnlicher Differentialgleichungen aus der Perspektive der dynamischen Systeme im Umfang einer einsemestrigen Vorlesung. Über die Diskussion der grundlegenden Lösungstheorie und der Theorie linearer Systeme hinaus werden insbesondere analytische und numerische Lösungsverfahren, grundlegende Konzepte der Theorie dynamischer Systeme, Stabilität, Verzweigungen und Hamilton-Systeme behandelt. Der Stoff wird durchgängig anhand von Beispielen, Übungsaufgaben und Computerexperimenten illustriert und vertieft. Das Buch ist besonders für das Bachelor-Studium gut geeignet, sowohl vorlesungsbegleitend zum Modul "Gewöhnliche Differentialgleichungen" für Studierende im 3. Semester als auch zum Selbststudium.

Differential equations. --- Mathematical analysis. --- Analysis (Mathematics). --- Ordinary Differential Equations. --- Analysis.

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This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.

Engineering mathematics. --- Control engineering. --- Computers. --- Quantum computers. --- System theory. --- Engineering Mathematics. --- Control and Systems Theory. --- Theory of Computation. --- Quantum Computing. --- Complex Systems. --- Systems, Theory of --- Systems science --- Science --- Computers --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Engineering --- Engineering analysis --- Mathematical analysis --- Philosophy --- Mathematics --- Dynamics. --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics

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• Reference Manager
• EndNote
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This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.

Mathematics --- Electrical engineering --- Applied physical engineering --- Computer. Automation --- quantumcomputers --- computers --- economie --- systeemtheorie --- wiskunde --- automatische regeltechniek