AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Ediţia nr.1 din 2024 | |||||||
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DYNAMICAL BEHAVIOR OF q-DEFORMED LOGISTIC MAP IN SUPERIOR ORBIT. Autori: RENU BADSIWAL, SUDESH KUMARI, RENU CHUGH. |
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Rezumat: DOI: 10.24193/subbmath.2024.1.10 Received 09 April 2021; Accepted 08 October 2021. Published Online: 2024-03-20 Published Print: 2024-03-30 pp. 149-170 VIEW PDF FULL PDF In this paper, we study the q-deformed logistic map in Mann orbit (superior orbit) which is a two-step fixed point iterative algorithm. The main aim of this paper is to investigate the whole dynamical behavior of the proposed map through various techniques such as fixed point and stability approach, time-series analysis, bifurcation plot, Lyapunov exponent and cobweb diagram. We notice that the chaotic behavior of q-deformed logistic map can be controlled by choosing control parameters carefully. The convergence and stability range of the map can be increased substantially. Moreover, with the help of bifurcation diagrams, we prove that the stability performance of this map is larger than that of existing other one dimensional chaotic maps. This map may have better applications than that of classical logistic map in various situations as its stability performance is larger. Mathematics Subject Classification (2010): 34H10, 37M10, 37B25, 37F45. Keywords: Logistic map, q-deformation, Mann orbit, time series analysis, bifurcation plot, Lyapunov exponent (LE), cobweb plot. |
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