Patterns of Dynamics Berlin, July 2016 [Hardcover]

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. 

Part I   Patterns and waves.- Michael Herrmann, Karsten Matthies:  Uniqueness of solitary waves in the high-energy limit of FPU-type chains.- J?rgen 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 Sch?ll: Noise-induced chimera states in a neural network.- Part II  Statistical properties of dynamics. Fredrik Ekstr?m, J?rg Schmeling: A Survey on the Fourier Dimension.- Arnd Scheel, Sergey Tikhomirov:  Depinning asymptotics in ergodic media.- Part III Nonlinear partial differential equations.- V. F. Bl“Y