Chaotic motion of propagating pulses in the Gray-Scott model
Chaotic motion of propagating pulses in the Gray-Scott model
复制标题
格雷-斯科特模型中传播脉冲的混沌运动
DOI：
10.1103/physreve.83.056207
复制
发表时间：
2011
影响因子：
2.4
通讯作者：
M. Nagayama
中科院分区：
文献类型：
--
作者：
M. Yadome;K. Ueda;M. Nagayama
通过数值研究研究了格雷-斯科特模型中传播脉冲从振荡运动到混沌运动的转变路线。格雷-斯科特模型的全局分岔为我们提供了有关瞬态动力学起始机制的信息，例如脉冲的分裂和消退。然而，振荡脉冲的不稳定机制尚未阐明，甚至在数值上也是如此。时间周期振荡行进脉冲的全局分岔分析（称为行进呼吸器）使我们能够找到振荡脉冲解的混沌运动。在移动呼吸的分叉点附近发现了两种类型的混沌过渡，即倍周期序列和准周期解的分解。
Transition routes of propagating pulses in the Gray-Scott model from oscillatory to chaotic motion are investigated by numerical studies. Global bifurcation of the Gray-Scott model gives us information about the onset mechanism of transient dynamics, such as the splitting and extinction of pulses. However, the instability mechanism of oscillatory pulses has not been clarified, even numerically. Global bifurcation analysis of time periodic oscillatory traveling pulses, called traveling breathers, enables us to find chaotic motions of oscillatory pulse solutions. Two types of transitions to chaos, namely, period-doubling sequences and breakdown of quasiperiodic solutions, are found near the bifurcation points of traveling breathers.