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In this chapter, we delve into the exploration of fractional derivatives and chaos analysis within the realm of lowest order chaotic satellite systems. Our investigation extends to the application of fractional calculus in computer simulation, wherein we scrutinize the characteristics of a fractional derivative satellite system through phase portrait analysis across different parameter values. The evolving parameter values give rise to diverse phase portrait analyses of fractional derivatives within the satellite systems, uncovering chaos within systems with fewer than three dimensions. The assessment encompasses equilibrium points, Lyapunov exponents, and bifurcation diagrams as key techniques employed to validate our findings. We have proposed a feedback control strategy for a novel fractional-order satellite system.

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Chaos Analysis in Lowest Dimensional Fractional Order Satellite Systems and Its Control Techniques

  • 章节

  • 发表日期：

    2025年

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  • Sanjay Kumar,
  • Ram Pravesh Prasad,
  • Mahendra Pratap Pal,
  • Krishan Pal,
  • Ajit Singh,
  • Vishal Srivastava

摘要

In this chapter, we delve into the exploration of fractional derivatives and chaos analysis within the realm of lowest order chaotic satellite systems. Our investigation extends to the application of fractional calculus in computer simulation, wherein we scrutinize the characteristics of a fractional derivative satellite system through phase portrait analysis across different parameter values. The evolving parameter values give rise to diverse phase portrait analyses of fractional derivatives within the satellite systems, uncovering chaos within systems with fewer than three dimensions. The assessment encompasses equilibrium points, Lyapunov exponents, and bifurcation diagrams as key techniques employed to validate our findings. We have proposed a feedback control strategy for a novel fractional-order satellite system.