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<p>This research paper presents a newly improved Sprott-I system incorporating a quartic nonlinear term. The system’s dynamic behavior is analyzed through equilibrium points and stability criteria. At the same time, bifurcation diagrams and Lyapunov exponents are used to elucidate the route to chaos as variable parameters change. Using a power-electronic configuration, the system’s circuit implementation corroborates the analytical and numerical simulation results. Utilizing the Lyapunov direct control strategy, global chaos synchronization is achieved. The new system exhibits more complex dynamical behavior than the existing Sprott-I system, thereby enhancing its applicability in real-life contexts where chaos is advantageous. This advancement promises significant contributions to fields that require controlled chaotic behavior, such as secure communications, image encryption, and other practical applications.</p>

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Lyapunov direct control of a quartic nonlinearity-based Sprott-I system

  • 期刊论文

  • 发表日期：

    2026年7月16日

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  • A. I. Egunjobi,
  • A. O. Adelakun,
  • K. S. Ojo,
  • K. D. Ajayi

摘要

This research paper presents a newly improved Sprott-I system incorporating a quartic nonlinear term. The system’s dynamic behavior is analyzed through equilibrium points and stability criteria. At the same time, bifurcation diagrams and Lyapunov exponents are used to elucidate the route to chaos as variable parameters change. Using a power-electronic configuration, the system’s circuit implementation corroborates the analytical and numerical simulation results. Utilizing the Lyapunov direct control strategy, global chaos synchronization is achieved. The new system exhibits more complex dynamical behavior than the existing Sprott-I system, thereby enhancing its applicability in real-life contexts where chaos is advantageous. This advancement promises significant contributions to fields that require controlled chaotic behavior, such as secure communications, image encryption, and other practical applications.