Patterns of Dynamics : Berlin, July 2016. 1st ed. 2017

種類:

電子ブック

責任表示:

edited by Pavel Gurevich, Juliette Hell, Björn Sandstede, Arnd Scheel

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Gurevich, Pavel.
• Hell, Juliette.
• Sandstede, Björn.
• Scheel, Arnd.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 205

ISBN:

9783319641737 [3319641735]    

注記:

Part I Patterns and waves -- Michael Herrmann, Karsten Matthies: Uniqueness of solitary waves in the high-energy limit of FPU-type chains -- Jürgen Scheurle: Patterns in Fourier space. - Guido Schneider, Dominik Zimmermann: The Turing instability in case of an additional conservation law – Dynamics near the Eckhaus boundary and open questions -- Anna Zakharova, Nadezhda Semenova, Vadim Anishchenko, Eckehard Schöll: Noise-induced chimera states in a neural network -- Part II Statistical properties of dynamics.– Fredrik Ekström, Jörg Schmeling: A Survey on the Fourier Dimension -- Arnd Scheel, Sergey Tikhomirov: Depinning asymptotics in ergodic media -- Part III Nonlinear partial differential equations -- V. F. Butuzov, N. N. Nefedov, O. E. Omel’chenko, L. Recke, K. R. Schneider: An Implicit Function Theorem and Applications to Nonsmooth Boundary Layers.– Yihong Du, Messoud Efendiev: Existence And Exact Multiplicity For Quasilinear Elliptic Equations In Quarter-Spaces. - Marek Fila, Hiroshi Matano, Eiji Yanagid
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. .

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