Abstract
Abstract Collision-freeness is an important structural property of particle dynamics. A nonlinear ODE system ẋ(t) = f(x(t)) is called collision-free if the solution to the initial value problem with x(0)=x° has distinct components for all times t whenever the initial state x° has distinct components. Both the general case of a C1–function f and the special case of a polynomial (or even linear) function f will be addressed.
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