@article{SchmidtZamoraLopezKurths2010, author = {Schmidt, G. and Zamora-Lopez, Gorka and Kurths, J{\"u}rgen}, title = {Simulation of large scale cortical networks by individual neuron dynamics}, issn = {0218-1274}, doi = {10.1142/S0218127410026149}, year = {2010}, abstract = {Understanding the functional dynamics of the mammalian brain is one of the central aims of modern neuroscience. Mathematical modeling and computational simulations of neural networks can help in this quest. In recent publications, a multilevel model has been presented to simulate the resting-state dynamics of the cortico-cortical connectivity of the mammalian brain. In the present work we investigate how much of the dynamical behavior of the multilevel model can be reproduced by a strongly simplified model. We find that replacing each cortical area by a single Rulkov map recreates the patterns of dynamical correlation of the multilevel model, while the outcome of other models and setups mainly depends on the local network properties, e. g. the input degree of each vertex. In general, we find that a simple simulation whose dynamics depends on the global topology of the whole network is far from trivial. A systematic analysis of different dynamical models and coupling setups is required.}, language = {en} } @article{RaderFauthGouldetal.2005, author = {Rader, Oliver and Fauth, K. and Gould, C. and Ruster, C. and Schott, G. M. and Schmidt, G. and Brunner, K. and Molenkamp, Laurens W. and Schutz, G. and Kronast, F. and Durr, H. A. and Eberhardt, W. and Gudat, Wolfgang}, title = {Identification of extrinsic Mn contributions in Ga1-xMnxAs by field-dependent magnetic circular X-ray dichroism}, issn = {0368-2048}, year = {2005}, abstract = {We combine sensitivity to atomic number, chemical shifts, probing depth, and magnetic order in a field- dependent magnetic circular X-ray dichroism study at the Mn L-edge of the diluted ferromagnetic semiconductor Ga1-xMnxAs and observe different Mn constituents: ferromagnetic Mn with an n(d) > 5 lineshape and paramagnetic Mn with distinct n(d) = 5 lineshape. The paramagnetic Mn is assigned to interstitials with surface segregation tendency. (c) 2005 Elsevier B.V. All rights reserved}, language = {en} }