Oprogramowanie wspomagające badanie zjawiska perkolacji w systemach chaotycznych

• Autorzy: Jacek Wołoszyn

Warianty tytułu

Software for Percolation Phenomena Research in Chaotic Systems

• Języki publikacji: PL

Abstrakty

W artykule przedstawiono oprogramowanie służące do przeprowadzania komputerowych eksperymentów symulacyjnych związanych ze zjawiskiem perkolacji w systemach chaotycznych.

EN

Numerical analysis and computer graphics are convenient tools for research into behaviour of dynamic systems that demonstrate chaos phenomena. During exploration of percolation occurrence, a net consisted of nodes is being considered. In the simplest case, it can be a square net with uniformly placed nodes. Each node can be active or non-active. The active nodes can form clusters having such a feature that each cluster node neighbours directly with other active node. For the purpose of this paper, the classical percolation problem has been extended and generalised by enabling of utilisation of various node activation methods operating in direct way, or by the propagation of node stimulation front. The classical process of random activity selection for each node has been replaced by deterministic generation of a chaotic time series. This process creates a percolation phenomenon in a chaotic system. In such a net the creation of clusters and other forms that are composed of active nodes can be observed and analysed. The behaviour of percolation issue is perfectly connected with computer simulation methods that are used for exploration of this phenomenon. A condition of effective utilisation of simulation methods is application of proper computer software that should be adopted to research characteristics. The article presents the software for computer simulation experiments that are connected with percolation phenomena in chaotic systems. (original abstract)

Słowa kluczowe

PL

Teoria chaosu; Symulacje komputerowe

EN

Chaos theory; Computing simulation

• Czasopismo: Zeszyty Naukowe / Akademia Ekonomiczna w Krakowie
• Rocznik: 2006
• Numer: nr 724
• Strony: 111--129

Twórcy

autor

Jacek Wołoszyn

Bibliografia

• Heermann D. W. [1997], Podstawy symulacji komputerowych w fizyce, WNT, Warszawa.
• Mandelbrot B. [ 1982], The Fractal Geometry of Nature, W.H. Freeman, New York.
• Wołoszyn J. [2000], Elementy teorii chaosu deterministycznego w badaniach systemów ekonomicznych, Zeszyty Naukowe AE w Krakowie, nr 551, Kraków.