We propose an iterative correlator with random seeds as a method to generate series characterized by a low-dimensional attractor (D≈4.65) and scaling properties described by a power law P=1/fa where 0a≈2. The method basically introduces an interaction factor between the terms of the series....

In this study we simulate numerically the Reynolds’ experiment for the transition from laminar to turbulent flow in a pipe. We present a discussion of the results from a dynamical systems perspective when a control parameter, the Reynolds number, is increased. The Landau scenario, where the...

We propose a hierarchical logistic equation as a model to describe the dynamical behavior of a penetration rate of a new product. In this model, a memory of how many adopters a non-adopter met is considered, where (non-)adopters mean people (not) possessing the product. This effect is not...

The paper is concerned with the new logistic equation of arbitrary order which describes the performance of complex executive systems X vs. number of tasks N, operating at limited resources K, at non-extensive, heterogeneous self-organization processes characterized by parameter f. In contrast...

We consider effect of possible migration between different locations on population evolution. Examples of different rules based on preferences to live in bigger or smaller populations, (or environmental capacity, or living space available), are discussed. In the limiting case of small migration...

Computer study of population evolution in a modified Penna model is presented, where different thresholds T for bad mutation may be assigned to individuals. The model indicates a possible source of such fluctuations of T due to embryo period of life before birth. Changes in age characteristics...

The Hurst exponent of very long birth time series in Romania has been extracted from official daily records, i.e. over 97 years between 1905 and 2001 included. The series result from distinguishing between families located in urban (U) or rural (R) areas, and belonging (Ox) or not (NOx) to the...

We present the results of an experiment with light microscopy performed to capture the trajectories of live Nitzschia sp. diatoms. The time series corresponding to the motility of this kind of cells along ninety-five circular-like trajectories have been obtained and analyzed with the scaling...

2007–2008 US financial crisis adversely affected the stock markets all over the world.  Asian markets also came under pressure and were differently affected. As markets under stress could reveal features that remain hidden under normal conditions, we use MF-DFA technique to investigate the...

In this paper the two dimensional model of the investment in shares is presented. The shares prices from five different world stock exchanges (New York, London, Frankfurt, Honk Kong, and Sydney) are examined. The copula functions are used to model the risk of investment. The Hurst threshold...