摘要：Collision-freeness is an important structural property of particle dynamics. A nonlinear ODE systemẋ(t)=f(x(t))is called collision-free if the solution to the initial value problem withx(0)=x°has distinct components for all timestwhenever the initial statex°has distinct components. Both the general case of aC1–functionfand the special case of a polynomial (or even linear) functionfwill be addressed.
关键词：KeywordsLinear systemsstructural propertiesmultivariablefunctionalpositive systems
