Simulation of the game of chaos and fractals

Document Type : Original Article

Authors

1 Faculty of Basic Sciences, Imam Ali University, Tehran, Iran

2 IT Management, Imam Ali University, Tehran, Iran

Abstract

In this paper, the role of the iteration function system in the geometric modeling of two-dimensional and three-dimensional fractal objects is presented. We also study chaos game display technology, which is a very important and efficient tool in the biochemistry and military fields. This method provides a good template for amplified and generated sequences such as the DNA sequence. See Reference 5. The game of chaos provides many interesting patterns and is therefore a very important tool for examining the organization of units. In this paper, we investigate the game of chaos and chaotic systems, and by giving an example, we have obtained the speed of creating a system disorder by Liapanov's view.

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References

Garg, A., Negi, A., Agrawal, A., Latwal, B. (2014). Geometric modelling of complex objects using iterated function system. International Journal of Scientific & Technology Research, 3(6), 6.
Bielecki., A. (1995). Approximation of attractors on compact meteric spaces. Univ. Iagal. Acta. Math. 32.
Mitra, T., Privileggi, F. (2005). Cantor type attractors in stochastic growth models. Department of politic policy and public choice
Aswathy, K. V. (2015). A Survey on Chaos Game Representation for Online Signature Verification. International journal of modern trends.
Jeffrey, H. J. (1990). Chaos game representation of gene structure. Nucleic acids research, 18(8), 2163-2170.
Annals of Optimization Theory and Practice
Volume 2, Issue 2
September 2019
Pages 25-33

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