Cognition, Vol. 9, No. 1

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Abstracting & Indexing

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Email or Customer ID. Forgot password? Old Password. New Password. A dynamical system is a system that changes over time in accordance with certain rules. Dynamical systems is a central topic in mathematics, science and engineering.

Research Groups & Labs

In the Dynamical Systems Group we study differential equations, as well as difference equations, from a dynamical systems point of view. We also apply dynamical system theory to a range of problems in science and engineering, including fluid dynamics, chemistry, ecology, and mechanics.

We collaborate with researchers from these fields and contribute to a mathematical understanding of their models. The methods we use include bifurcation theory, center- and slow manifold theory and blowup methods.

Chaos Equations - Simple Mathematical Art

Functional analysis is a branch of mathematical analysis, dealing with infinite-dimensional vector spaces and operators hereon. Functional analysis is a research topic by itself, but it is also a toolbox that provides insight into the underlying mathematical structure of problems in dynamical systems, geometry, optimization and other areas of applied mathematics.

The Functional analysis group focuses on applications within harmonic analysis, where a key issue is how to decompose complicated signals in terms of elementary building blocks. A central role is played by the theory of frames in general Hilbert spaces.

Section for Mathematics

The work in the group deals withthe abstract theory of frames and its concrete manifestations in terms of structured frames in function spaces. Contact persons: Ole Christensen , Jakob Lemvig. The geometry group develops novel theories, concepts, and applications related to the construction, analysis, and optimization of shapes in the most general sense of this very broad category, but also in its low dimensional concrete ramifications and approximations.

The research strategy of the group is focused on this - two-way - bridge between the general and the concrete. It is exemplified by recent new results:.

Interdisciplinary research Research centres Research sections List of publications. Forside Research Research sections Mathematics. Share on Facebook. Share on Twitter. Share on Linkedin.

Bibliographic Information

Algorithms, Logic and Graphs. Cognitive Systems. Cyber Security.

Perturbation Methods, Bifurcation Theory and Computer Algebra | Richard Rand | Springer

Dynamical Systems. Embedded Systems Engineering. Formal Methods. Current PhD projects. Past PhD theses.

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