Volume 20 No 13 (2022)
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Dynamical Interpretations Of Sine Logistic Map Using Picard Orbit
Monika, Ashish, Pooja Bhatia
Abstract
The standard logistic map hunt down prominent space in the field of dynamics which is widely used in many scientific domains such as, cryptography, communication, biology, physical and chemical science, and stock market. In this reference, we investigated the chaotic characteristics of the sine logistic equation operating Picard orbit. It is observed that for the conventional logistic equation the parameter varies betweenr∈ [0,4] while in the sine logistic map the parameter approaches to r∈ [0,7.5]. Analytically as well as experimentally analysis is performed like time-series analysis, bifurcation and functional analysis and another important property, Lyapunov exponent is calculated. Hence, the enhanced chaotic region in Sine Logistic Map will develop the chaos-based operations.
Keywords
Sine Logistic map, Lyapunov exponent, Bifurcation, Chaos
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