Gurevich P., Hell J., Sandstede B., Scheel A. (Eds.) Patterns of Dynamics: In Honour of Bernold Fiedler’s 60th Birthday Berlin, July 2016

Springer International Publishing AG, part of Springer Nature, 2017. — 411 p. — (Springer Proceedings in Mathematics & Statistics 205) — ISBN: 978-3-319-64172-0.Dynamical systems as a field have had tremendous impact across mathematics and the sciences that goes far beyond the in-depth study and classification of the qualitative behavior of flows and terations. The dynamical-systems viewpoint hasinfused areas as diverse as partial differential quations, number theory, cosmology, pattern formation, and, more recently, data assimilation and machine learning. A common theme is the goal of describing phenomena based on laws of evolution, be they fundamental laws of physics or simply ad-hoc rules, using algebraic or analytic language for qualitative and quantitative descriptions.Patterns and Waves
Uniqueness of Solitary Waves in the High-Energy Limit of FPU-Type Chains
Michael Herrmann and Karsten Matthies
Patterns in Fourier Space
The Turing Instability in Case of an Additional Conservation Law—Dynamics Near the Eckhaus Boundary and Open Questions
Noise-Induced Chimera States in a Neural Network
Statistical Properties of Dynamics
A Survey on the Fourier Dimension
Depinning Asymptotics in Ergodic Media
Nonlinear Partial Differential Equations
An Implicit Function Theorem and Applications to Nonsmooth Boundary Layers
Existence and Exact Multiplicity for Quasilinear Elliptic Equations in Quarter-Spaces
Non-uniqueness of Solutions of a Semilinear Heat Equation with Singular Initial Data
Uniform Exponential Decay for Reaction-Diffusion Systems with Complex-Balanced Mass-Action Kinetics
Convergence and Quasiconvergence Properties of Solutions of Parabolic Equations on the Real Line: An Overview
Crandall-Rabinowitz Type Bifurcation for Non-differentiable Perturbations of Smooth Mappings
Enumeration of Positive Meanders
Control and Numerics
Freezing Traveling and Rotating Waves in Second Order Evolution Equations
Numerical Center Manifold Methods
An Introduction to the Control Triple Method for Partial Differential Equations
Applications—Biology and Data Science
Data Mining When Each Data Point is a Network
A Calvin Bestiary
“Big Data and Dynamics”—The Mathematical Toolkit Towards Personalized Medicine
Using Dynamics to Analyse Time Series
Unraveling the Dynamics of the Brain through Modeling and Analysis