Patterns of Dynamics

Part I Patterns and waves.- Michael Herrmann, Karsten Matthies: Uniqueness of solitary waves in the high-energy limit of FPU-type chains.- Juergen 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 Schoell: Noise-induced chimera states in a neural network.- Part II Statistical properties of dynamics.- Fredrik Ekstroem, Joerg 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 Vaeth, Milan Kucera, Josef Navratil: Crandall-Rabinowitz Type Bifurcation for Non-Differentiable Perturbations of Smooth Mappings.- Matthias Wolfrum: Enumeration of positive meanders.- Part IV Control and numeric.- Wolf-Juergen Beyn, Denny Otten, Jens Rottmann-Matthes: Freezing Traveling and Rotating Waves in Second Order Evolution Equations.- Klaus Boehmer: 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.

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• Ciência não-linear
• Cálculo diferencial e equações

37Lxx, 35K59, 34Kxx, 80A30, 37N25;infinite-dimensional dissipative dynamical systems;quasilinear parabolic equations;Functional-differential and differential-difference equations;chemical kinetics;dynamical systems in biology;patterns of dynamics;Bernold Fiedler;partial differential equations;ordinary differential equations