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Dynamical behavior and influence of stochastic noise on certain generalized Boolean networks

Beck, Gary L.; Matache, Mihaela T. - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 19, pp. 4947-4958

This study considers a simple Boolean network with N nodes, each node’s state at time t being determined by a certain number of parent nodes. The network is analyzed when the connectivity k is fixed or variable. Making use of a Boolean rule that is a generalization of Rule 22 of elementary...

Persistent link: https://www.econbiz.de/10010873556

On Lempel–Ziv complexity for multidimensional data analysis

Zozor, S.; Ravier, P.; Buttelli, O. - In: Physica A: Statistical Mechanics and its Applications 345 (2005) 1, pp. 285-302

In this paper, a natural extension of the Lempel–Ziv complexity for several finite-time sequences, defined on finite … size alphabets is proposed. Some results on the defined joint Lempel–Ziv complexity are given, as well as properties in … connection with the Lempel–Ziv complexity of the individual sequences. Also, some links with Shannon entropies are exhibited and …

Persistent link: https://www.econbiz.de/10010590655

Computational modeling of the dependence of kindling rate on network properties

Biswal, B.; Niranjan, B.R.; Ullal, G.; Dasgupta, C. - In: Physica A: Statistical Mechanics and its Applications 364 (2006) C, pp. 565-580

size and complexity of the network are independent of some of the assumptions made in our modeling. …

Persistent link: https://www.econbiz.de/10010589974

Feedback between node and network dynamics can produce real-world network properties

Brot, Hilla; Muchnik, Lev; Goldenberg, Jacob; Louzoun, Yoram - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 24, pp. 6645-6654

Real-world networks are characterized by common features, including among others a scale-free degree distribution, a high clustering coefficient and a short typical distance between nodes. These properties are usually explained by the dynamics of edge and node addition and deletion.

Persistent link: https://www.econbiz.de/10010590440

Biologically inspired learning in a layered neural net

Bedaux, J.; van Leeuwen, W.A. - In: Physica A: Statistical Mechanics and its Applications 335 (2004) 1, pp. 279-299

A feed-forward neural net with adaptable synaptic weights and fixed, zero or non-zero threshold potentials is studied, in the presence of a global feedback signal that can only have two values, depending on whether the output of the network in reaction to its input is right or wrong.

Persistent link: https://www.econbiz.de/10010591832

Evolution of network structure by temporal learning

Jost, Jürgen; Kolwankar, Kiran M. - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 9, pp. 1959-1966

We study the effect of learning dynamics on network topology. A network of discrete dynamical systems is considered for this purpose and the coupling strengths are made to evolve according to a temporal learning rule that is based on the paradigm of spike-time-dependent plasticity. This...

Persistent link: https://www.econbiz.de/10011058491

The shape of the past in the World Wide Web: Scale-free patterns and dynamics

Jovani, Roger; Fortuna, Miguel A. - In: Physica A: Statistical Mechanics and its Applications 385 (2007) 2, pp. 683-688

Human societies accumulate a great deal of information about past events. People make reference to things that happened in time in different ways and record them in multiple media. We have studied the current use of this information by analysing the frequency of occurrence of numbers associated...

Persistent link: https://www.econbiz.de/10010873322

The role of propagating stress waves on a geophysical scale: Evidence in terms of nonextensivity

Minadakis, G.; Potirakis, S.M.; Stonham, J.; Nomicos, C.; … - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 22, pp. 5648-5657

Laboratory experiments have shown that, during a fracture, the breaking of a bond launches a propagating stress wave which may trigger the breaking of other bonds. We examine here the possibility that the same holds on a geophysical scale. Based on a nonextensive approach, we examine whether the...

Persistent link: https://www.econbiz.de/10010873391

Multiscale entropy analysis of human gait dynamics

Costa, M.; Peng, C.-K.; L. Goldberger, Ary; Hausdorff, … - In: Physica A: Statistical Mechanics and its Applications 330 (2003) 1, pp. 53-60

We compare the complexity of human gait time series from healthy subjects under different conditions. Using the … recently developed multiscale entropy algorithm, which provides a way to measure complexity over a range of scales, we observe … that normal spontaneous walking has the highest complexity when compared to slow and fast walking and also to walking paced …

Persistent link: https://www.econbiz.de/10010873422

Statistical measures of complexity for quantum systems with continuous variables

Manzano, D. - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 23, pp. 6238-6244

The Fisher–Shannon statistical measure of complexity is analyzed for a continuous manifold of quantum observables. It … characterization of the complexity of some quantum systems. In order to obtain a more complete description of complexity two new …

Persistent link: https://www.econbiz.de/10010874151