Chaos in a nonlinear damped Mathieu system, in a nano resonator system and in its fractional order systems
Chaos in a nonlinear damped Mathieu system, in a nano resonator system and in its fractional order systems
复制标题
DOI：
10.1016/j.chaos.2005.10.086
复制
发表时间：
2007-04
影响因子：
7.8
通讯作者：
Z. Ge;Chang-Xian Yi
中科院分区：
文献类型：
--
作者：
Z. Ge;Chang-Xian Yi
研究了非线性阻尼Mathieu系统和非线性整数阶和分数阶纳米谐振器系统的混沌行为。通过相图、Poincaré映射和分岔图等数值分析，观察到了周期运动和混沌运动。研究发现，非线性阻尼Mathieu系统以及整数阶和分数阶纳米谐振器系统都存在混沌现象。
In this paper, the chaotic behaviors of a nonlinear damped Mathieu system and of a nonlinear nano resonator system with integral orders and with fractional orders are studied. By applying numerical analyses such as phase portraits, Poincaré maps and bifurcation diagrams, the periodic and chaotic motions are observed. It is found that chaos exists both in the nonlinear damped Mathieu system and in the integral order and fractional order nano resonator systems.