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Rigorous numerics in dynamics : AMS short course, rigorous numerics in dynamics, January 4-5, 2016, Seattle, Washington

Author: Jan Bouwe van den Berg; Jean-Philippe Lessard
Publisher: Providence, Rhode Island : American Mathematical Society, [2018] ©2018
Series: Proceedings of symposia in applied mathematics, v. 74.; Proceedings of symposia in applied mathematics., AMS short course lecture notes.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Nonlinear dynamics shapes the world around us, from the harmonious movements of celestial bodies, via the swirling motions in fluid flows, to the complicated biochemistry in the living cell. Mathematically these phenomena are modeled by nonlinear dynamical systems, in the form of ODEs, PDEs and delay equations. The presence of nonlinearities complicates the analysis, and the difficulties are even greater for PDEs  Read more...
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Document Type: Book
All Authors / Contributors: Jan Bouwe van den Berg; Jean-Philippe Lessard
ISBN: 9781470428143 1470428148
OCLC Number: 1013988304
Notes: This volume is based on lectures delivered at the 2016 AMS Short Course "Rigorous Numerics in Dynamics", held January 4-5, 2016, in Seattle, Washington.
Description: viii, 213 pages ; 27 cm.
Contents: Introduction to rigorous numerics in dynamics : general functional analytic setup and an example that forces chaos / Jan Bouwe van den Berg --
Validated numerics for equilibria of analytic vector fields : invariant manifolds and connecting orbits / J.D. Mireles James --
Continuation of solutions and studying delay differential equations via rigorous numerics / Jean-Philippe Lessard --
Computer-assisted bifurcation diagram validation and applications in materials science / Thomas Wanner --
Dynamics and chaos for maps and the Conley index / Sarah Day --
Rigorous computational dynamics in the context of unknown nonlinearities / Konstantin Mischaikow.
Series Title: Proceedings of symposia in applied mathematics, v. 74.; Proceedings of symposia in applied mathematics., AMS short course lecture notes.
Other Titles: AMS short course, rigorous numerics in dynamics
Responsibility: Jan Bouwe van den Berg, Jean-Philippe Lessard, editors.

Abstract:

This volume is based on lectures delivered at the 2016 AMS Short Course "Rigorous Numerics in Dynamics", held in January 2016, in Seattle, Washington. The articles in this volume include novel  Read more...

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