Patterns of Dynamics

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 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. 

• 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

• Mathematical Institute, Free University of Berlin, Berlin, Germany

  Pavel Gurevich, Juliette Hell

• Division of Applied Mathematics, Brown University, Providence, USA

  Björn Sandstede

• School of Mathematics, University of Minnesota, Minneapolis, USA

  Arnd Scheel

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