Scholarlink

<p>This paper presents a novel four-dimensional Hamiltonian conservative chaotic system based on the theoretical analysis of Casimir and Hamiltonian energies, constructed through the coupling of two generalized sub-Euler equations in accordance with conservative system principles. The chaotic behavior and rich dynamical characteristics of the system are systematically verified through multiple dynamical analysis methods, including phase portraits, Lyapunov exponents (LE), bifurcation diagrams, and spectral entropy (SE) complexity analysis. Notably, the proposed system exhibits diverse dynamical states under different initial conditions, and through the introduction of an improved offset boosting mechanism, exhibits initial condition-dependent coexisting conservative trajectories and multidirectional chaotic roaming phenomena, demonstrating high sensitivity to initial conditions. Furthermore, this paper designs and constructs analog circuits as well as FPGA implementations to conduct physical-level simulation verification of the system’s dynamical characteristics, proving its realizability. Finally, based on this system, a synchronization control scheme is constructed, employing a global synchronization method to achieve effective synchronization control between the drive system and response system, providing theoretical foundation and experimental basis for the application of conservative chaotic systems in communication security and signal processing fields.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Dynamical analysis and synchronization control of conservative chaotic systems based on generalized Hamiltonian

  • 期刊论文

  • 发表日期：

    2026年6月24日

查看全文
  • Wentao Gou,
  • Jie Zhang

摘要

This paper presents a novel four-dimensional Hamiltonian conservative chaotic system based on the theoretical analysis of Casimir and Hamiltonian energies, constructed through the coupling of two generalized sub-Euler equations in accordance with conservative system principles. The chaotic behavior and rich dynamical characteristics of the system are systematically verified through multiple dynamical analysis methods, including phase portraits, Lyapunov exponents (LE), bifurcation diagrams, and spectral entropy (SE) complexity analysis. Notably, the proposed system exhibits diverse dynamical states under different initial conditions, and through the introduction of an improved offset boosting mechanism, exhibits initial condition-dependent coexisting conservative trajectories and multidirectional chaotic roaming phenomena, demonstrating high sensitivity to initial conditions. Furthermore, this paper designs and constructs analog circuits as well as FPGA implementations to conduct physical-level simulation verification of the system’s dynamical characteristics, proving its realizability. Finally, based on this system, a synchronization control scheme is constructed, employing a global synchronization method to achieve effective synchronization control between the drive system and response system, providing theoretical foundation and experimental basis for the application of conservative chaotic systems in communication security and signal processing fields.