DYNAMICS OF TWO-GENE ANDRECUT-KAUFFMAN SYSTEM: CHAOS AND COMPLEXITY

Authors

  • R. Sharma Chitkara University - Department of Mathematics
  • L.M. Saha Shiv Nadar University - Department of Mathematics

Keywords:

chaos, Lyapunov exponents, bifurcation, topological entropy

Abstract

Evolutionary dynamics of a two-gene model for chemical reactions, corresponding to gene expression and regulation, has been studied in detail.  Bifurcation analysis has been carried out to understand behavior of steady state solutions leading to chaotic evolution for different cases.  Numerical simulations have been performed and measurable quantities like Lyapunov exponents, topological entropies and correlation dimensions have been calculated for certain sets of parameter values.  These measures explain complexity and chaotic nature of evolution.

Author Biography

L.M. Saha, Shiv Nadar University - Department of Mathematics

 

 

Cover of n°41 Italian Journal of Pure and Applied Mathematics

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Published

2019-02-27

How to Cite

Sharma, R., & Saha, L. (2019). DYNAMICS OF TWO-GENE ANDRECUT-KAUFFMAN SYSTEM: CHAOS AND COMPLEXITY. Italian Journal of Pure and Applied Mathematics, 41, 405–413. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7112

Issue

N°41 - February 2019

Section

Articoli - Forum Editrice

License

Copyright (c) 2019 R. Sharma, L.M. Saha

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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