Books+ Search Results
Patterns of Dynamics Berlin, July 2016
Title
Patterns of Dynamics [electronic resource] : Berlin, July 2016 / edited by Pavel Gurevich, Juliette Hell, Björn Sandstede, Arnd Scheel.
ISBN
9783319641737
Publication
Cham : Springer International Publishing : Imprint: Springer, 2017.
Physical Description
IX, 408 p. : online resource.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
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. .
Variant and related titles
Springer ebooks.
Other formats
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
March 01, 2018
Series
Springer Proceedings in Mathematics & Statistics, 205
Contents
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 Yanagida: Non-uniqueness of solutions of a semilinear heat equation with singular initial data. - Alexander Mielke: Uniform exponential decay for reaction-diffusion systems with complex-balanced mass-action kinetics
Peter Polacik: Convergence and quasiconvergence properties of solutions of parabolic equations on the real line: an overview
Lutz Recke, Martin Väth, Milan Kucera, Josef Navrátil: Crandall-Rabinowitz Type Bifurcation for Non-Differentiable Perturbations of Smooth Mappings
Matthias Wolfrum: Enumeration of positive meanders
Part IV Control and numeric
Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes: Freezing Traveling and Rotating Waves in Second Order Evolution Equations
Klaus Böhmer: Numerical Center Manifold Methods
Isabelle Schneider: An introduction to the control triple method for partial differential equations
Part V Applications – Biology and Data Science
Karthikeyan Rajendran, Assimakis Kattis, Alexander Holiday, Risi Kondor, Ioannis G. Kevrekidis: Data mining when each data point is a network
Alan D. Rendall: A Calvin bestiary
Lisa Turnhoff, Nina Kusch, Andreas Schuppert: Big Data and Dynamics – the mathematical toolkit towards Personalized Medicine
Sjoerd Verduyn Lunel: Using dynamics to analyse time series
Lai-Sang Young: Unraveling the dynamics of the Brain through modeling and analysis. .
Subjects
Also listed under
Bookmark As
Citation
