List of publications

in Journals

S. Flach and E. Olbrich
Mode coupling approximation in a model of structural phase transitions with infinite range interaction, Zeitschrift für Physik B, 85 (1991),  99.
S. Flach, C. R. Willis, and E. Olbrich
Integrability and localized excitations in nonlinear discrete systems, Physical Review E, 49 (1994), 836.
S. Aubry, S. Flach, Kladko K., and E. Olbrich
Manifestation of classical bifurcation in the spectrum of the integrable quantum dimer, Physical Review Letters, 76 (1996), 1607.
E. Olbrich and H. Kantz
Inferring chaotic dynamics from time-series: On which length scale determinism becomes visible, Physics Letters A 232 (1997), 63-69 .
H. Kantz and E. Olbrich
Scalar observations from a class of high-dimensional chaotic systems: Limitations of the time delay embedding, Chaos 7 (1997) 423-429.
R. Hegger, H. Kantz and E. Olbrich
Correlation dimension of intermittent signals, Phys. Rev. E 56 (1997), 199.
H. Kantz and E. Olbrich
The transition from deterministic chaos to stochastic processes, Physica A 253 (1998), 105-117
E. Olbrich, R. Hegger and H. Kantz
Analysing local observations of weakly coupled maps,  Physics Letters A244 (1998), 538-544.
E. Olbrich, R. Hegger and H. Kantz
Local estimates for entropy densities in coupled map lattices,  Physical Review Letters, 84 ,(2000), 2132.
H. Kantz and E. Olbrich
Coarse grained dynamical entropies - investigation of high-entropic dynamical systems, Physica A , 280 ,(2000), 34-48.
M. Cencini, M. Falcioni, H. Kantz, E. Olbrich and A. Vulpiani
Chaos or noise: Difficulties of a distinction, Phys. Rev. E , 62 ,(2000), 427.
S. Güttler, H. Kantz and E. Olbrich
Reconstruction of the parameter spaces of dynamical systems, Phys. Rev. E , 63 ,(2001), 056215.
Y. Shen, E. Olbrich, P. Achermann and P. F. Meier
Dimensional complexity and spectral properties of the human sleep EEG , Clin. Neurophysiol. 114, (2003), 199-209.
E. Olbrich, P. Achermann and P. F. Meier
Dynamics of human sleep EEG, Neurocomputing 52-54, (2003), 857-862.
E. Olbrich and P. Achermann
Oscillatory events in the human sleep EEG - detection and properties, Neurocomputing 58-60, (2004), 129-135.
E. Olbrich and P. Achermann
Analysis of oscillatory patterns in the human sleep EEG using a novel detection algorithm, Journal of Sleep Research 14, (2005), 337-346.
E. Olbrich and T. Wennekers
Dynamics of parameters of neurophysiological models from phenomenological EEG modelling, Neurocomputing 70, (2007), 1848-1852.
J. Jost, N. Bertschinger, E. Olbrich, N. Ay and S. Fraenkel
An information theoretic approach to system differentiation on the basis of statistical dependencies between subsystems, Physica A 378, (2007), 1-10.
N. Bertschinger, E. Olbrich, N. Ay and J. Jost
Autonomy: An information theoretic perspective, Biosystems 91 (2008), 331-345. This is an extended version of the workshop contribution that can be found below.
M. Niemann, T. Laubrich, E. Olbrich and H. Kantz
Usage of the Mori-Zwanzig method in time series analysis, Phys. Rev. E 77 (2008), 011117.
E. Olbrich, N. Bertschinger, N. Ay and J. Jost
How should complexity scale with system size?, Eur. Phys. J. B 63 (2008), 407-415.
N. Ay, N. Bertschinger, R. Der, F. Güttler and E. Olbrich
Predictive information and explorative behavior of autonomous robots, Eur. Phys. J. B 63 (2008), 329-339.
E. Olbrich and P. Achermann
Analysis of the Temporal Organization of Sleep Spindles in the Human Sleep EEG Using a Phenomenological Modeling Approach, J. Biol. Phys. 34 (2008) 341-349.
T. Kahle, E. Olbrich, J. Jost and N. Ay
Complexity Measures from Interaction Structures, Phys. Rev. E,79 (2009), 026201. Preprint version.
J. Jost, N. Bertschinger, and E. Olbrich
Emergence, New Ideas in Psychology, 28 (2010), 265-273.
E. Olbrich, T. Kahle, N. Bertschinger, N. Ay and J. Jost
Quantifying Structure in Networks, Eur. Phys. J. B, 77 (2010), 239-247. Preprint version.
G. Boldhaus, N. Bertschinger, J. Rauh, E. Olbrich, and K. Klemm
Robustness of Boolean dynamics under knockouts, Phys. Rev. E, 82 (2010), 021916.
E. Olbrich, P. Achermann, and T. Wennekers
The sleeping brain as a complex system, Philosophical Transactions of the Royal Society A, 369 (2011), 3697-3707. Introduction to the theme issue "The complexity of sleep".
E. Olbrich, J.C. Claussen, and P. Achermann
The multiple time scales of sleep dynamics as a challenge for modelling the sleeping brain, Philosophical Transactions of the Royal Society A, 369 (2011), 3884-3901.
N. Ay, E. Olbrich, N. Bertschinger, and J. Jost
A geometric approach to complexity, Chaos, 21 (2011), 037103. Preprint version.
D. H. Wolpert, M. Harré, E. Olbrich, N. Bertschinger, and J. Jost
Hysteresis effects of changing the parameters of noncooperative games, Phys. Rev. E, 85 (2012), 036102. Older preprint version on the arXiv.

in Proceedings

R. Hegger, H. Kantz and E. Olbrich
Problems in the reconstruction of highdimensional deterministic dynamics from time series, in: Nonlinear Analysis of Physiological Data, ed. by H. Kantz, J. Kurths and G. Mayer-Kress, Springer 1998.
H. Kantz, S. Güttler and E. Olbrich
Fehlerfrüherkennung durch Zeitreihenanalyse, in: Zeitreihenanalyse (Workshop Düsseldorf, 10. Dez. 1997), VDI-Technologiezentrum, Düsseldorf 1997.
E. Olbrich, P. F. Meier and P. Achermann
Nonlinearity and nonstationarity in human sleep EEG data, Sleep 26 (2003), A394 (extented abstract). Poster at the APSS conference Chicago 2003.
N. Bertschinger, E. Olbrich, N. Ay and J. Jost
Information and Closure in Systems Theory, in: Explorations in the Complexity of Possible Life, ed. by S. Artmann and P. Dittrich, IOS Press, Amsterdam, 2006. Proceedings of the 7th German Workshop on Artificial Life.
N. Bertschinger, E. Olbrich, N. Ay and J. Jost
Autonomy: an information theoretic perspective, in: Artificial Autonomy Workshop , ed. by Kepa Ruiz-Mirazo and Xabier Barandiaran, Alife X, 2006.
E. Olbrich and P. Achermann
Oscillatory events in the human sleep EEG – incidence and properties in baseline and recovery sleep after sleep deprivation, Journal of Sleep Research 15 Supplement 1, (2006), 50 (extented abstract). Talk at the ESRS conference Innsbruck 2006.
N. Ay, E. Olbrich, N. Bertschinger and J. Jost
A unifying framework for complexity measures of finite systems, ECCS 2006. Santa Fe Institute Working Paper 06-08-028.
J. Jost and E. Olbrich
Luhmanns Gesellschaftstheorie: Anregung und Herausforderung für eine allgemeine Theorie komplexer Systeme, Soziale Systeme, 13,46-57, 2007. English abstract can be found here.
E. Olbrich and T. Wennekers
Multichannel analysis of neural oscillations in a simple model network – towards a better understanding of the spatiotemporal structure of brain oscillations, BMC Neuroscience, 9 (Suppl 1), 2008, P153. Abstract for poster at the CNS 2008 in Portland.
E. Olbrich and T. Wennekers
Distinguishing brain oscillations – understanding differences in topography, frequency, and incidence by a simple modeling framework, BMC Neuroscience, 10 (Suppl 1), 2009, P229. Abstract for poster at the CNS 2009 in Berlin.

in Books

H. Kantz and E. Olbrich
Deterministic and probabilistic forecasting in reconstructed state spaces, in: Handbook of Time Series Analysis, ed. by B. Scheller M. Winterhalder and J. Timmer, Wiley 2006.