  The non-consensus problems of high order linear time-invariant dynamical
homogeneous multi-agent systems are concerned. Based on the conditions of
consensus achievement, the mechanisms that lead to non-consensus motions are
analyzed. Besides, a comprehensive classification for diverse types of
non-consensus phases in accordance to the different conditions is conducted,
which is jointly depending on the self-dynamics of agents, the interactive
protocol and the graph topology. A series of numerical examples are
demonstrated to illustrate the theoretical analysis.
