Important note: Other then previously announced, the lectures will start in the first week of the semester (21 April) !!!
General Information
Place: Department of Physics, Humboldt University, Berlin-Adlershof
Lectures: weekly, Thursday 13-15 (ct), starting 21 April (Prof. Jürgen Kurths / Dr. Reik Donner / Dr. Jonathan Donges), room NEW 14 1'12
Tutorials: bi-weekly, Thursday 15-17 (ct), starting 28 April (Jasper Franke / Chiranjit Mitra), room NEW 15 1'427
Lecture-ID: 40564 VL
Audience: open for all students of natural sciences and related areas with particular interest in the physical modeling of climate, ecology and socio-economy (advanced BSc, MSc or PhD student level)
Certificate: regular participation in lectures and tutorials, presentation of a semester project during the last lecture
Tentative agenda
- Introduction, Foundations of Dynamical Systems Theory
- Dynamical Systems and Bifurcations
- History of Earth Climate and Conceptual Models of Ice Ages
- Nonlinear Models of Climate Physics
- Tipping Points in Dynamical Systems
- Complex Networks: Foundations and Structural Properties
- Complex Networks: Models
- Complex Systems in Theoretical Ecology
- Adaptive Networks: Epidemic Spreading
- Adaptive Networks: Opinion Formation
- Co-Evolutionary Models of Nature and Society
- Empirical Data Analysis using Complex Network Methods
Specific literature
Introduction to nonlinear dynamical systems and chaos
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Strogatz, S. H. (2014). Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering. Westview Press.
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Ott, E. (2002). Chaos in dynamical systems. Cambridge University Press.
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Argyris, J., Faust, G., & Haase, M. (2013). Die Erforschung des Chaos: Studienbuch für Naturwissenschaftler und Ingenieure. Springer-Verlag.
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Cvitanovic, P., Artuso, R., Mainieri, R., Tanner, G., Vattay, G., & Whelan, N. (2005). Chaos: classical and quantum. ChaosBook.org (Niels Bohr Institute, Copenhagen 2005).
Nonlinear dynamics and phenomena in the Earth system
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Dijkstra, H. A. (2013). Nonlinear climate dynamics. Cambridge University Press.
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Scheffer, M. (2009). Critical transitions in nature and society. Princeton University Press.
Structure and history of the Earth system
- Schellnhuber, H.J. & Rahmstorf, S. (2012). Der Klimawandel: Diagnose, Prognose, Therapie, C.H. Beck.
- Ruddiman, W. (2013). Earth's climate: past and future. W.H. Freeman & Co Ltd.
Complex networks
- M.E.J. Newman: Networks - An Introduction. Oxford University Press
- R. Albert, A.-L. Barabási: Statistical mechanics of complex networks. Reviews of Modern Physics, 74, 47, 2002
- M.E.J. Newman: The structure and function of complex networks. SIAM Review, 45, 167-256, 2003
Theoretical ecology, epidemic spreading and social dynamics
- Structural models of food webs: D.B. Stouffer, J. Camacho, R. Guimera, C.A. Ng, L.A. Nunes Amaral, Quantitative patterns in the structure of model and empirical food webs. Ecology, 86, 1301-1311, 2005
- Types of functional responses in food web models: J.H.P. Dawes, M.O. Souza, A derivation of Holling's type I, II and III functional response in predator-prey systems. Journal of Theoretical Biology, 327, 11-22, 2013
- Generalized modeling: T. Gross, U. Feudel, Generalized models as a universal approach to the analysis of nonlinear dynamical systems. Physical Review E, 73, 016205, 2006; T. Gross, L. Rudolf, S.A. Levin, U. Diekmann, Generalized models reveal stabilizing factors in food webs. Science, 325, 747-750, 2009; J.D. Yeakel, D. Stiefs, M. Novak, T. Gross, Generalized modeling of ecological population dynamics. Theoretical Ecology, 4, 179-194, 2011
- Epidemic models on complex networks: P. Pastor-Satorras, A. Vespigniani, Epidemic dynamics and endemic states in complex networks. Physical Review E, 63, 066117, 2001
- Voter model on networks: F. Vazquez, V.M. Eguiluz, Analytical solution of the voter model on uncorrelated networks. New Journal of Physics, 10, 063011, 2008
Adaptive networks
- T. Gross, H. Sayama (eds.): Adaptive networks - Theory, Models and Applications. Springer
- T. Gross, B. Blasius, Adaptive coevolutionary networks - a review, Journal of the Royal Society Interface, 5, 259-271, 2008
- G. Demirel, F. Vazquez, G.A. Böhme, T. Gross, Moment-closure approximations for discrete adaptive networks, Physica D, 267, 68-80, 2014
More references will be added following the progress of the lectures.
Tutorials
Continuous updates on the tutorials will be posted below.
- Proposed projects and the corresponding paper titles
- Short introduction to python
- The lecture notes have been distributed via individual e-mails. In case, you have not received them yet, please send an e-mail to Chiranjit Mitra (chiranjit.mitra@pik-potsdam.de) or Jasper Franke (jasper.franke@pik-potsdam.de).
Last update: 13 July 2016
