{"product_id":"9783319641720","title":"Patterns of Dynamics : Berlin, July 2016 (Springer Proceedings in Mathematics \u0026 Statistics .205) (1st ed. 2017. 2018. ix, 408 S. 235 mm)","description":"\u003cp\u003eTheoretical 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. \u003c\/p\u003e\u003cp\u003e\n\u003c\/p\u003e \u003cb\u003ePart I\u003c\/b\u003e   Patterns and waves.- \u003ci\u003eMichael Herrmann, Karsten Matthies\u003c\/i\u003e:  Uniqueness of solitary waves in the high-energy limit of FPU-type chains.- \u003ci\u003eJürgen Scheurle:\u003c\/i\u003e  Patterns in Fourier space. - \u003ci\u003eGuido Schneider, Dominik Zimmermann: \u003c\/i\u003eThe Turing instability in case of an additional conservation law - Dynamics near the Eckhaus boundary and open questions.- \u003ci\u003eAnna Zakharova, Nadezhda Semenova, Vadim Anishchenko, Eckehard Schöll:\u003c\/i\u003e Noise-induced chimera states in a neural network.- \u003cb\u003ePart II\u003c\/b\u003e  Statistical properties of dynamics.- Fredrik Ekström, Jörg Schmeling: A Survey on the Fourier Dimension.- \u003ci\u003eArnd Scheel, Sergey Tikhomirov:\u003c\/i\u003e  Depinning asymptotics in ergodic media.- \u003cb\u003ePart III\u003c\/b\u003e Nonlinear partial differential equations.- \u003ci\u003eV. F. Butuzov, N. N. Nefedov, O. E. Omel'chenko, L. Recke, K. R. Schneider: \u003c\/i\u003eAn Implicit Function Theorem and Applications to Nonsmooth Boundary Layers.- \u003ci\u003eYihong Du, Messoud Efendiev\u003c\/i\u003e:  Existence And Exact Multiplicity For Quasilinear Elliptic Equations In Quarter-Spaces. - \u003ci\u003eMarek Fila, Hiroshi Matano, Eiji Yanagida\u003c\/i\u003e: Non-uniqueness of solutions of a semilinear heat equation with singular initial data. - \u003ci\u003eAlexander Mielke\u003c\/i\u003e: Uniform exponential decay for reaction-diffusion systems with complex-balanced mass-action kinetics.- \u003ci\u003ePeter Polacik\u003c\/i\u003e: Convergence and quasiconvergence properties of solutions of parabolic equations on the real line: an overview.- \u003ci\u003eLutz Recke, Martin Väth, Milan Kucera, Josef Navrátil\u003c\/i\u003e:  Crandall-Rabinowitz Type Bifurcation for Non-Differentiable Perturbations of Smooth Mappings.- \u003ci\u003eMatthias Wolfrum\u003c\/i\u003e: Enumeration of positive meanders.- \u003cb\u003ePart IV\u003c\/b\u003e  Control and numeric.- \u003ci\u003eWolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes:  \u003c\/i\u003eFreezing Traveling and Rotating Waves in Second Order Evolution Equations.- \u003ci\u003eKlaus Böhmer:\u003c\/i\u003e   Numerical Center Manifold Methods.- \u003ci\u003eIsabelle Schneider:\u0026amp;n\u003c\/i\u003ebsp;An introduction to the control triple method for partial differential equations.- \u003cb\u003ePart V\u003c\/b\u003e  Applications - Biology and Data Science.- \u003ci\u003eKarthikeyan Rajendran, Assimakis Kattis, Alexander Holiday, Risi Kondor, Ioannis G. Kevrekidis: \u003c\/i\u003eData mining when each data point is a network.- \u003ci\u003eAlan D. Rendall\u003c\/i\u003e: A Calvin bestiary.- \u003ci\u003eLisa Turnhoff, Nina Kusch, Andreas Schuppert: \u003c\/i\u003e Big Data and Dynamics - the mathematical toolkit towards Personalized Medicine.- \u003ci\u003eSjoerd Verduyn Lunel\u003c\/i\u003e: Using dynamics to analyse time series.- \u003ci\u003eLai-Sang Young:\u003c\/i\u003e  Unraveling the dynamics of the Brain through modeling and analysis. \u003cp\u003e\u003c\/p\u003e","brand":"SPRINGER, BERLIN; SPRINGER INTERNATIONAL PUBLISHING","offers":[{"title":"Default Title","offer_id":45971797475407,"sku":"00000_00000_00000_00000","price":3850.0,"currency_code":"TWD","in_stock":false}],"url":"https:\/\/kinokuniya.com.tw\/ja\/products\/9783319641720","provider":"Books Kinokuniya Taiwan","version":"1.0","type":"link"}