Editors:
- Discusses theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering
- Builds and develops mathematical techniques, and uses mathematical approaches for prediction and control of complex systems
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 205)
Conference series link(s): PaDy: International Conference on Patterns of Dynamics
Conference proceedings info: PaDy 2016.
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Table of contents (21 papers)
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Front Matter
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Patterns and Waves
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Front Matter
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Statistical Properties of Dynamics
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Front Matter
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Nonlinear Partial Differential Equations
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Front Matter
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Control and Numerics
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Front Matter
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About this book
Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.The contributions build and develop mathematical techniques, and use mathematical approaches for prediction and control of complex systems. The underlying mathematical theories help extract structures from experimental observations and, conversely, shed light on the formation, dynamics, and control of spatio-temporal patterns in applications. Theoretical areas covered include geometric analysis, spatial dynamics, spectral theory, traveling-wave theory, and topological data analysis; also discussed are their applications to chemotaxis, self-organization at interfaces, neuroscience, and transport processes.
Keywords
- 37Lxx, 35K59, 34Kxx, 80A30, 37N25
- infinite-dimensional dissipative dynamical systems
- quasilinear parabolic equations
- Functional-differential and differential-difference equations
- chemical kinetics
- dynamical systems in biology
- patterns of dynamics
- Bernold Fiedler
- partial differential equations
- ordinary differential equations
Editors and Affiliations
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Mathematical Institute, Free University of Berlin, Berlin, Germany
Pavel Gurevich, Juliette Hell
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Division of Applied Mathematics, Brown University, Providence, USA
Björn Sandstede
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School of Mathematics, University of Minnesota, Minneapolis, USA
Arnd Scheel
Bibliographic Information
Book Title: Patterns of Dynamics
Book Subtitle: Berlin, July 2016
Editors: Pavel Gurevich, Juliette Hell, Björn Sandstede, Arnd Scheel
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-64173-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-64172-0Published: 08 February 2018
Softcover ISBN: 978-3-319-87741-9Published: 06 June 2019
eBook ISBN: 978-3-319-64173-7Published: 07 February 2018
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: IX, 408
Topics: Dynamical Systems and Ergodic Theory, Partial Differential Equations, Ordinary Differential Equations, Applications of Mathematics