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Dynamical Behavior of Logistic Maps

by Umme Ruman, Rebeka Tanij Tania, Md. Abdus Sattar Titu
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 72 - Number 12
Year of Publication: 2013
Authors: Umme Ruman, Rebeka Tanij Tania, Md. Abdus Sattar Titu
10.5120/12544-8999

Umme Ruman, Rebeka Tanij Tania, Md. Abdus Sattar Titu . Dynamical Behavior of Logistic Maps. International Journal of Computer Applications. 72, 12 ( June 2013), 9-12. DOI=10.5120/12544-8999

@article{ 10.5120/12544-8999,
author = { Umme Ruman, Rebeka Tanij Tania, Md. Abdus Sattar Titu },
title = { Dynamical Behavior of Logistic Maps },
journal = { International Journal of Computer Applications },
issue_date = { June 2013 },
volume = { 72 },
number = { 12 },
month = { June },
year = { 2013 },
issn = { 0975-8887 },
pages = { 9-12 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume72/number12/12544-8999/ },
doi = { 10.5120/12544-8999 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:37:43.049340+05:30
%A Umme Ruman
%A Rebeka Tanij Tania
%A Md. Abdus Sattar Titu
%T Dynamical Behavior of Logistic Maps
%J International Journal of Computer Applications
%@ 0975-8887
%V 72
%N 12
%P 9-12
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we study basic dynamical facts for logistic growth models in population dynamics and its dynamical behavior. Different logistic growth curves have been developed and more general biological logistic growth curve are studied. We also discuss the concept of bifurcation in the context of logistic growth models.

References
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  2. Devaney, R. L. , An Introduction to Chaotic Dynamical Systems, Westview Press, 2003.
  3. Holmgren R. A, A First Course in Discrete Dynamical Systems, spring-verlag, 1996.
  4. Robert M. May, Simple Mathematical Models with very Complicated Dynamics,Nature 261, 459-467, 1976.
  5. M. Martelli, On the Definition of Chaos.
  6. Wiley-Interscience, Introduction to Discrete Dynamical Systems and Chaos ,1999.
  7. Li, T. -y. , and Yorke J. , Period Three Implies Chaos . American Mathematical Monthly 82 (1975), 985-992.
Index Terms

Computer Science
Information Sciences

Keywords

Dynamical system logistic behavior

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