I want to know if there's any general method to investigate a linear system restrained by a standard simplex. It's hard for me to start with such a system because if I directly regard it as general dynamics, the simplex constraint is always broken. But if I choose to parameterize the system, the form of the system becomes ugly. So, what can you say about such system.
Let me explain the system in case of any misunderstanding. The system is like
dx/dt=Ax
where A is a constant matrix and x is a vector such that x_1+...+x_n=1.
Adil AL-Rammahi
There are many ,for examples, contraction affine transformation, the functions of Serpinski triangle. And you can see my paper(trigonometric algorithm...).
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