山东大学学报 (工学版) ›› 2022, Vol. 52 ›› Issue (2): 74-79.doi: 10.6040/j.issn.1672-3961.0.2021.388
• • 上一篇
贾红艳,陈忠告,石文欣,韩晓光*
JIA Hongyan, CHEN Zhonggao, SHI Wenxin, HAN Xiaoguang*
摘要： 通过分析一个三维保守混沌系统的力学和能量特性,发现当参数a=b时,该三维保守系统实际上是一个新的四维广义Hamiltonian保守系统的三维子系统。通过对新的广义Hamiltonian保守系统进行数值分析,如李雅普诺夫指数、分岔图、相轨迹等,发现其具有非常丰富的动力学行为:混沌特性、周期特性、拟周期特性。通过分析该广义Hamiltonian保守系统平衡点特性,发现其动力学行为呈现隐藏特性。同时,在系统参数不变的情况下,通过改变初值,发现该广义Hamiltonian保守系统具有多稳定性。利用现场可编程逻辑门阵列(field programmable gate array, FPGA)实现了该广义Hamiltonian保守系统,试验结果和数值分析结果是一致的。分别从数值分析和物理特性上验证了该广义Hamiltonian保守系统隐藏混沌特性和多稳定性的存在,为应用提供了新的模型。
中图分类号:
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