Patterns of Dynamics Berlin, July 2016 /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Gurevich, Pavel (Επιμελητής έκδοσης), Hell, Juliette (Επιμελητής έκδοσης), Sandstede, Björn (Επιμελητής έκδοσης), Scheel, Arnd (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Springer Proceedings in Mathematics & Statistics, 205
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.; Ordinary Differential Equations.; Applications of Mathematics.

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...

Πίνακας περιεχομένων:

• 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. .