Regensburg 2019 – scientific programme

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SYPN: Symposium Patterns in Nature: Origins, Universality, Functions

SYPN 1: Patterns in Nature: Origins, Universality, Functions

SYPN 1.3: Invited Talk

Monday, April 1, 2019, 16:00–16:30, H1

Control and selection of spatio-temporal patterns in complex systems — •Svetlana Gurevich — Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany

In the field of nonlinear dynamics, the control and engineering of the dynamical behavior of spatio-temporal patterns in complex systems is one of the key issues of recent research. In recent years, detailed experimental evidence and theoretical understanding of self-organization phenomena in the animate and inanimate world has been accumulated. This opens the way for the manipulation and control of existing systems. A variety of different control methods has been developed within the last decades. In particular, external periodic forcing methods as well as feedback loops have been widely used to influence the dynamics of patterns. In this talk, using a combination of theoretical, numerical and path-continuation methods we discuss how these control strategies can be applied to a different systems ranging from surface coating to laser dynamics problems. In particular, we focus on a theoretical description of experimental techniques such as dip-coating or vapor deposition of molecules that are often used for the coating of surfaces with a precise density and structure. We shall show how the basic properties of different systems lead to the formation of specific self-organized patterns. This enables the development of methods to control structure formation, e.g. by pre-structured substrates or external time-dependent fields.