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F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig

Symbolic synchronization and the detection of global properties of coupled dynamics from local information.

F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig

We provide a new proof of a regularity theorem for systems of nonlinear elliptic equations with the quadratic nonlinearity in dimension two.

F Ur Mathematik in Den Naturwissenschaften Leipzig Topological Discrete Kinks Topological Discrete Kinks

A spatially discrete version of the general kink-bearing nonlinear Klein-Gordon model in (1 + 1) dimensions is constructed which preserves the topological lower bound on kink energy. It is proved that, provided the lattice spacing h is suuciently small, there exist static kink solutions attaining this lower bound centred anywhere relative to the spatial lattice. Hence there is no Peierls-Nabarr...

Ff Ur Mathematik in Den Naturwissenschaften Leipzig on H 2 -matrices on H 2 -matrices

A class of matrices H matrices has recently been introduced by one of the authors These matrices have the following properties i They are sparse in the sense that only few data are needed for their representation ii The matrix vector multiplication is of almost linear complexity iii In general sums and products of these matrices are no longer in the same set but their truncations to the H matri...