Welcome to Home Page of Nonlinear Physics Division

Our research covers topics in dynamical systems ranging from nonlinear and nonequilibrium physics to theories of networks and living and neural systems.

We are particularly interested in systems composed of many simple elements that, through cooperative interactions, come to exhibit complex behavior and high-level functions that could not have been predicted from consideration of the individual elements alone. It is well known that many physical systems, for example, fluid systems and systems undergoing chemical reactions, are of this type. However, they are not the only such systems. For example, such cooperative behavior is also found in neural networks and social systems. For example, in neural systems consisting of many basic elements (neurons), the interactions among these elements allow the systems to acquire the advanced information processing functions of learning, memory and decision making. From a more general point of view, we are interested in systems consisting of many dynamical elements (neurons, cities, people, etc.) that form networks. In many such systems, the network structure and the dynamic activity of the elements evolve simultaneously, and the network possesses a capacity for self-organization. We study cooperative phenomena in systems of this kind, and we focus on reduction theory, rhythmic phenomena, and chaos theory from the perspective of nonlinear dynamics and non-equilibrium physics.

For more detailed information, please click on the links at the top of this page.

Additional Admission Information for Non-Japanese and Foreign Applicants

If you are interested in applying to our research groups, AMS-2 or AMS-3, it is very important that you understand and consider the following points before applying:

Required Knowledge in Physics: A deep understanding of physics is crucial, particularly in statistical mechanics, thermodynamics, and nonlinear physics. Without this background, it will be challenging and difficult to complete a Master’s thesis in our research groups.

Selective Problems for Examination: For applicants aiming for AMS-2 or AMS-3, it is strongly recommended to choose problems related to the mechanics of particles, systems of particles, and rigid bodies for the basic subjects of the entrance examination. For the specialized subjects, it is also desirable to select Statistical Physics for admission purposes. If you do not select the above problems, please be aware that this decision will significantly impact our evaluation of your application for admission into our research group.

Japanese Language Skills: In our Master’s program, Advanced Mathematical Sciences course does not offer the International Course in our curriculum. Therefore, the lectures are conducted in Japanese, so applicants are expected to have sufficient Japanese language skills.

Application Group Guide

京都大学 情報学研究科 先端数理科学専攻 非線形物理学講座