Patterns of Dynamics Berlin, July 2016

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 bui...

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Bibliographic Details
Other Authors: Gurevich, Pavel (Editor), Hell, Juliette (Editor), Sandstede, Björn (Editor), Scheel, Arnd (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Springer Proceedings in Mathematics & Statistics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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.
  • 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