Studies on dynamical systems of nonlinear phenomena with energy dissipation and the theory of stability

我们试图建立一种新的数学理论来阐明真实的世界中的非线性和复杂现象的机理，并利用它来处理材料科学和生命科学中的一些具体问题。事实上，我们的新数学理论为一些悬而未决的问题提供了一个有效的方法。这是该研究最重要的成果之一，所谓的“生命数学”也是在同一框架下发展起来的。

We tried to construct a new mathematical theory for clarifying the mechanisms of nonlinear and complex phenomena in the real world and to make use of it to handle some concrete problems arising in the material and life science. In fact, our new mathematical theory provided an effective approach for some open questions. This is one of the most important achievements in this research, and the so-called "Life Mathematics" has been evolved in the same framework.