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一个新的网格多翅膀混沌系统及其电路实现
A new grid multi-wing chaotic system and its circuit implementation
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摘要: 提出了一个新的三维二次自治混沌系统，与大多数广义Lorenz系统一样，该系统只能产生双翅膀吸引子．依据该双翅膀混沌系统平衡点和吸引子的拓扑结构，设计合适的非线性函数可以将其改进为一个产生网格多翅膀吸引子的混沌系统．对该网格多翅膀混沌系统的基本动力学特性进行了分析，证实了多翅膀吸引子的混沌特性．最后设计了混沌电路，给出了多翅膀混沌吸引子的电路仿真结果，证实了理论设计与电路实现的一致性．
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关键词:
- 新三维二次自治混沌系统 /
- 平衡点 /
- 非线性函数 /
- 网格多翅膀混沌吸引子
Abstract: In this paper, a new three-dimensional autonomous chaotic system is proposed. However, the structural form of the new chaotic system is limited to a double-wing like most Lorenz-like systems. According to the equilibrium points and topological structure of this double-wing chaotic system we design some appropriate nonlinear functions for it. Then, the new double-wing chaotic system can be modified into a grid multi-wing chaotic system. Basic dynamical properties of the system are studied by theoretical analysis and numerical simulation, which proves the chaotic behaviors of this new grid multi-wing chaotic system. Finally, an oscillator circuit is designed for implementation. The circuit simulation results are in good agreement with the numerical simulation results. -
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