IJPAM: Volume 104, No. 4 (2015)

STABILITY AND LYAPUNOV EXPONENTS
OF A $q$-DEFORMED MAP

Bhagwati Prasad$^1$, Kuldip Katiyar$^2$
$^{1,2}$Department of Mathematics
Jaypee Institute of Information Technology
A-10, Sector-62, Noida, UP-201307 INDIA


Abstract. The aim of this paper is to study the stability analysis of $q$-deformed chaotic map under Mann iterative scheme. We also plot the time series and Lyapunov exponent for changing values of the parameters.

Received: April 17, 2015

AMS Subject Classification: 37B25, 37C75, 65P40

Key Words and Phrases: logistic map, $q$-deformation, Mann iteration, Lyapunov exponent

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DOI: 10.12732/ijpam.v104i4.2 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 104
Issue: 4
Pages: 509 - 516


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