Nonlinear dynamics of self-propelled systems

对非线性耗散系统中的行波和自走软粒子进行了理论研究。作为前一个问题，我们研究了反馈控制下图灵模式的动力学，并推导了非平衡相图。在单个自推进粒子的动力学中，我们不仅考虑了平移运动，而且考虑了自旋运动，并阐明了二维和三维的性质。结果表明，由于平移、变形、旋转和外力的耦合作用，产生了令人着迷的动力学。在相互作用的自推进粒子动力学中，我们已经证明在我们的系统中出现了行带，并且这些带在正面碰撞时表现出类似孤子的行为。

We have studied theoretically traveling waves and self-propelled soft particles in nonlinear dissipative systems. As a former problem, we investigated the dynamics of Turing patterns under feedback control and derived non-equilibrium phase diagram. In the dynamics of individual self-propelled particles, we have considered not only translational motion but also spinning motion and clarified the properties both in two and three dimensions. It has been revealed that fascinating dynamics emerge due to the couplings among translation, deformation, spinning and external forces. In the dynamics of interacting self-propelled particles, we have shown that traveling bands appear in our system and those bands exhibit soliton-like behavior upon head-on collisions.