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Mathematical representations of chaotic systems, where even small changes to the starting circumstances produce dramatically different results, are known as chaotic maps. Significantly, diverse results arise from little modifications in the initial values. In this paper, propose a comprehensive analysis of chaotic maps produced from five different trigonometric chaotic sequences is presented in this work. The improved sine-tangent (IST), improved one-dimensional sinusoidal (I1DS), one-dimensional cosine polynomial (1-DCP), logistic-sine–cosine (LSC), and product trigonometric map (PTM) chaotic maps are among those taken into consideration. In this analysis, we analyse and characterize the dynamics of the system under examination using three essential chaotic parameters: Shannon Entropy (SE), Lyapunov Exponent (LE), and bifurcation diagram.

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Comparative Analysis of Different Trigonometric Function Based Chaotic Maps

  • 会议论文

  • 发表日期：

    2025年

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  • Shelza Dua,
  • Rahul Bhogal,
  • Mohit Dua

摘要

Mathematical representations of chaotic systems, where even small changes to the starting circumstances produce dramatically different results, are known as chaotic maps. Significantly, diverse results arise from little modifications in the initial values. In this paper, propose a comprehensive analysis of chaotic maps produced from five different trigonometric chaotic sequences is presented in this work. The improved sine-tangent (IST), improved one-dimensional sinusoidal (I1DS), one-dimensional cosine polynomial (1-DCP), logistic-sine–cosine (LSC), and product trigonometric map (PTM) chaotic maps are among those taken into consideration. In this analysis, we analyse and characterize the dynamics of the system under examination using three essential chaotic parameters: Shannon Entropy (SE), Lyapunov Exponent (LE), and bifurcation diagram.