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- Agata Fronczak, Piotr Fronczak, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2004

Analytic solution for the average path length in a large class of uncorrelated random networks with hidden variables is found. We apply the approach to classical random graphs of Erdös and Rényi… (More)

Abstract:The concept of active Brownian particles is used to model a collective opinion formation process. It is assumed that individuals in community create a two-component communication field that… (More)

- Julian Sienkiewicz, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2005

Public transport systems in 22 Polish cities have been analyzed. The sizes of these networks range from N = 152 to 2881. Depending on the assumed definition of network topology, the degree… (More)

A two-dimensional map describing chaotic behaviour of an economic model has been stabilized on various periodic orbits by the use of Pyragas time-delayed feedback control. The method avoids fancy… (More)

- Krzysztof Urbanowicz, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2003

We present a method of noise-level estimation that is valid even for high noise levels. The method makes use of the functional dependence of coarse-grained correlation entropy K2(epsilon ) on the… (More)

- Krzysztof Suchecki, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2006

We investigate analytically the behavior of the Ising model on two connected Barabasi-Albert networks. Depending on relative ordering of both networks there are two possible phases corresponding to… (More)

- Krzysztof Suchecki, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2009

In this paper, we investigate the behavior of the Ising model on two sparsely connected complex networks. The networks have the topology of a random graph or Barabási and Albert scale-free networks.… (More)

We investigate models of opinion formation which are based on the social impact theory. The following approaches are discussed: (i) general mean field theory of social impact, (ii) a social impact… (More)

- Renaud Lambiotte, Marcel Ausloos, Janusz A Hołyst
- Physical review. E, Statistical, nonlinear, and…
- 2007

We focus on the majority model in a topology consisting of two coupled fully connected networks, thereby mimicking the existence of communities in social networks. We show that a transition takes… (More)

- A. Krawiecki, Janusz A Hołyst, Dirk Helbing
- Physical review letters
- 2002

A microscopic model of financial markets is considered, consisting of many interacting agents (spins) with global coupling and discrete-time heat bath dynamics, similar to random Ising systems. The… (More)