Zeno solution
Graduate
A solution of a hybrid system is Zeno if it has infinitely many jumps while its ordinary time stays bounded.
Notes
In a Zeno solution, the time between jumps approaches zero, meaning the system jumps infinitely often jumps infinitely often in a finite amount of time.
Conversely, a solution is not necessarily Zeno if the time between jumps. For example, if the time between jumps is given by the harmonic sequence
\[1,~1/2,~1/3,~1/4,~1/5,~\dots\]the ordinary time approaches infinity because the harmonic sequence diverges:
\[1 + 1/2 + 1/3 + 1/4 + 1/5 + \dots = \infty\]