Some Real Life Applications Of Dynamical Systems

Rita Akter; Dr.Payer Ahmed

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Some Real Life Applications Of Dynamical Systems

Rita Akter Dr.Payer Ahmed

Subject area: Science,Engineering and Technology · Area of research: Mathematics

Abstract

In this paper, we discuss some applications of exciting fields like Mathematics, Statistics, Medical, Biological Sciences, Engineering, Economics etc. We show their real life applications both theoretically and analytically considering some phenomena of the nature. We mainly focused on some applications of dynamical system in real life cases known as chaos, iteration, fractal geometry, Mandelbrot and Julia sets .We derive some mathematical formula concerning dynamical systems. Necessary programs are considered for all cases. We use Mathematica and MatLab to perform programming.Dynamical Systems considering some popular.

Keywords

Chaos, Iteration, Fractal, Mandelbrot and Julia sets.

References

[1] P. Ahmed, Chaotic homeomorphisms in one- dimensional dynamics, Proc., Iwate Univ., Japan, May 5-6, 2001.

[2] R. L. Devaney, An Introduction to Chaotic Dynamical Systems, MenloPark: Benjamin/Cummings, 1986.

[3] R. L. Devaney, Fractals: A Tool Kit of Dynamics Activities, Key Curriculum Press, 1999.

[4] Eugene Don, Schaum’s Outline of Theory and Problems of Mathematica, McGRAW- HILL, 2001.

[5] Willam Mayo, Martin Cwiakala, Schaum’s Outline of Programming With Fortran, September 1994.

[6] B. Hasselblatt and A. Katok, Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, (1995, 1997).

[7] Morris W. Hirsch, Stephen Smale and Robert Devaney. Differential Equations, Dynamical Systems, and An Introduction to Chaos, ISBN 0-12-349550-4, Academic Press, 1974.

[8] Hazewinkel, Michiel, ed. (2001), "Chaos", Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4

[9] Nonlinear Dynamics. Models of bifurcation and chaos by Elmer G. Wiens

How to cite this paper

Rita Akter, Dr.Payer Ahmed "Some Real Life Applications Of Dynamical Systems" Iconic Research And Engineering Journals Volume 2 Issue 7 2019 Page 5-15

Rita Akter, Dr.Payer Ahmed "Some Real Life Applications Of Dynamical Systems" Iconic Research And Engineering Journals, vol. 2, no. 7, Jan. 2019

Rita Akter, Dr.Payer Ahmed (2019). Some Real Life Applications Of Dynamical Systems. Iconic Research And Engineering Journals, 2(7).

Rita Akter, Dr.Payer Ahmed "Some Real Life Applications Of Dynamical Systems" Iconic Research And Engineering Journals, vol. 2, no. 7, Jan. 2019.

@article{1700884,
      author = {Rita Akter, Dr.Payer Ahmed},
      title = {Some Real Life Applications Of Dynamical Systems},
      journal = {Iconic Research And Engineering Journals},
      year = {2019},
      volume = {2},
      number = {7},
      pages = {5-15},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1700884.pdf},
      abstract = {In this paper, we discuss some applications of exciting fields like Mathematics, Statistics, Medical, Biological Sciences, Engineering, Economics etc. We show their real life applications both theoretically and analytically considering some phenomena of the nature. We mainly focused on some applications of dynamical system in real life cases known as chaos, iteration, fractal geometry,  Mandelbrot and Julia sets .We derive some mathematical formula concerning dynamical systems. Necessary programs are considered for all cases. We use Mathematica and MatLab to perform programming.Dynamical Systems considering some popular.},
      keywords = {Chaos, Iteration, Fractal, Mandelbrot and Julia sets.},
      month = {January},
  }