论文标题
设计自发行为通过混沌行线切换
Designing spontaneous behavioral switching via chaotic itinerancy
论文作者
论文摘要
混沌行线是在高维和非线性动力学系统中经常观察到的现象,其特征是多个准吸引者之间的随机过渡。几项研究表明,在脑活动中已经观察到混乱的行动,并且被认为在自发的,稳定的动物行为产生中起着关键作用。因此,混乱的行程是一个引起人们关注的话题,特别是对于希望理解和实施代理商的自主行为控制的神经机构研究人员。但是,通常很难控制高维非线性动力学系统。因此,混乱的行程的实施主要是通过启发式完成的。在这项研究中,我们提出了一种新颖的方式,可以在一般的高维混沌系统中随意实施混乱的巡回术语。特别是,我们证明了我们的方法使我们能够轻松地设计准吸引者的轨迹和它们之间的过渡规则,仅通过调整有限数量的系统参数并利用固有的高维混乱来设计。最后,我们通过几个数值实验的结果进行定量讨论应用的有效性和范围。
Chaotic itinerancy is a frequently observed phenomenon in high-dimensional and nonlinear dynamical systems, and it is characterized by the random transitions among multiple quasi-attractors. Several studies have revealed that chaotic itinerancy has been observed in brain activity, and it is considered to play a critical role in the spontaneous, stable behavior generation of animals. Thus, chaotic itinerancy is a topic of great interest, particularly for neurorobotics researchers who wish to understand and implement autonomous behavioral controls for agents. However, it is generally difficult to gain control over high-dimensional nonlinear dynamical systems. Hence, the implementation of chaotic itinerancy has mainly been accomplished heuristically. In this study, we propose a novel way of implementing chaotic itinerancy reproducibly and at will in a generic high-dimensional chaotic system. In particular, we demonstrate that our method enables us to easily design both the trajectories of quasi-attractors and the transition rules among them simply by adjusting the limited number of system parameters and by utilizing the intrinsic high-dimensional chaos. Finally, we quantitatively discuss the validity and scope of application through the results of several numerical experiments.