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Advances in Dynamics, Optimization and Computation [electronic resource] : A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday / edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, Kathrin Padberg-Gehle.

Contributor(s): Junge, Oliver [editor.] | Schütze, Oliver [editor.] | Froyland, Gary [editor.] | Ober-Blöbaum, Sina [editor.] | Padberg-Gehle, Kathrin [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Systems, Decision and Control: 304Publisher: Cham : Springer International Publishing : Imprint: Springer, 2020Edition: 1st ed. 2020.Description: XV, 392 p. 177 illus., 107 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030512644.Subject(s): Engineering mathematics | Control engineering | Computational complexity | Quantum computers | System theory | Engineering Mathematics | Control and Systems Theory | Computational Complexity | Quantum Computing | Complex SystemsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620.00151 Online resources: Click here to access online
Contents:
A continuation approach to computing phase resetting curves -- Input-output networks, singularity theory, and homeostasis -- The approximation of invariant sets in infinite dimensional dynamical systems -- Set-oriented and finite-element study of coherent behavior in Rayleigh-Benard convection -- Singular value decomposition of operators on Reproducing Kernel Hilbert Spaces -- A weak characterization of slow variables in stochastic dynamical systems -- Analysis and simulation of extremes and rare events in complex systems -- Dynamical systems theory and algorithms for NP-hard problems.
In: Springer Nature eBookSummary: 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.
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A continuation approach to computing phase resetting curves -- Input-output networks, singularity theory, and homeostasis -- The approximation of invariant sets in infinite dimensional dynamical systems -- Set-oriented and finite-element study of coherent behavior in Rayleigh-Benard convection -- Singular value decomposition of operators on Reproducing Kernel Hilbert Spaces -- A weak characterization of slow variables in stochastic dynamical systems -- Analysis and simulation of extremes and rare events in complex systems -- Dynamical systems theory and algorithms for NP-hard problems.

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.

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