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Terrorist attacks on transportation networks have traumatized modern societies. With a single blast, it has become possible to paralyze airline traffic, electric power supply, ground transportation or Internet communication. How and at which cost can one restructure the network such that it will become more robust against a malicious attack? We introduce a… (More)

We investigate the clustering coefficient in bipartite networks where cycles of size three are absent and therefore the standard definition of clustering coefficient cannot be used. Instead, we use another coefficient given by the fraction of cycles with size four, showing that both coefficients yield the same clustering properties. The new coefficient is… (More)

Recent physiological measurements have provided clear evidence about scale-free avalanche brain activity and EEG spectra, feeding the classical enigma of how such a chaotic system can ever learn or respond in a controlled and reproducible way. Models for learning, like neural networks or perceptrons, have traditionally avoided strong fluctuations.… (More)

- Lucilla de Arcangelis, Carla Perrone-Capano, Hans J Herrmann
- Physical review letters
- 2006

Networks of living neurons exhibit an avalanche mode of activity, experimentally found in organotypic cultures. Here we present a model that is based on self-organized criticality and takes into account brain plasticity, which is able to reproduce the spectrum of electroencephalograms (EEG). The model consists of an electrical network with threshold firing… (More)

- Gian Luca Pellegrini, Lucilla de Arcangelis, Hans J Herrmann, Carla Perrone-Capano
- Physical review. E, Statistical, nonlinear, and…
- 2007

Networks of living neurons exhibit an avalanche mode of activity, experimentally found in organotypic cultures. Moreover, experimental studies of morphology indicate that neurons develop a network of small-world-like connections, with the possibility of a very high connectivity degree. Here we study a recent model based on self-organized criticality, which… (More)

- Gian Luca Pellegrini, Lucilla De Arcangelis, Hans J Herrmann, Carla Perrone-Capano
- 2007

Networks of living neurons exhibit an avalanche mode of activity, experimentally found in organ-otypic cultures. Moreover, experimental studies of morphology indicates that neurons develop a network of small-world-like connections, with the possibility of very high connectivity degree. Here we study a recent model based on self-organized criticality, which… (More)

- Eric J R Parteli, Hans J Herrmann
- Physical review. E, Statistical, nonlinear, and…
- 2007

We apply a model for sand dunes to calculate formation of dunes on Mars under the present Martian atmospheric conditions. We find that different dune shapes as those imaged by Mars Global Surveyor could have been formed by the action of sand-moving winds occurring on today's Mars. Our calculations show, however, that Martian dunes could be only formed due… (More)

We propose a model of mobile agents to construct social networks, based on a system of moving particles by keeping track of the collisions during their permanence in the system. We reproduce not only the degree distribution, clustering coefficient, and shortest path length of a large database of empirical friendship networks recently collected, but also… (More)

- Christian M. Schneider, Nuri Yazdani, Nuno A. M. Araújo, Shlomo Havlin, Hans J. Herrmann
- Scientific reports
- 2013

Natural and technological interdependent systems have been shown to be highly vulnerable due to cascading failures and an abrupt collapse of global connectivity under initial failure. Mitigating the risk by partial disconnection endangers their functionality. Here we propose a systematic strategy of selecting a minimum number of autonomous nodes that… (More)

- André A Moreira, José S Andrade, Hans J Herrmann, Joseph O Indekeu
- Physical review letters
- 2009

We investigate topologically biased failure in scale-free networks with a degree distribution P(k) proportional, variantk;{-gamma}. The probability p that an edge remains intact is assumed to depend on the degree k of adjacent nodes i and j through p_{ij} proportional, variant(k_{i}k_{j});{-alpha}. By varying the exponent alpha, we interpolate between… (More)