Work

Different Types of Maps in Dynamical Systems Routes to Chaos in Mathematics

Year: 2010

Type: article

Abstract: In this paper, we have discussed the general concepts of chaos theory in dynamical systems and main characteristics of chaos.We have described manipulating chaos, different definitions of chaos and their interrelationship in this study.In this work we have found that one dimensional maps with complicated dynamical behaviour.We have solved some problems of tent map HENA RANI BISWAS et al. 92 and after solving those problems we observed that tent map is chaotic.We also discussed the bifurcation of one dimensional map and sketch bifurcation diagrams by using MATHEMATICA.

Source: Journal of Pure and Applied Mathematics Advances and Applications

DOI: 10.18642/jpamaa_7100122128

Authors: Hena Rani Biswas, Md. Al-Amin, Md. Monirul Islam Sumon, Fouzia Sharmin

Institutions: University of Barishal, Z. H. Sikder University of Science and Technology, World University of Bangladesh

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W3091908289

FWCI:

Cites: 10

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Related to: 10