WebLots of dictionaries list trichotomy with the definition "division into three parts, elements, or classes". Share. Improve this answer. Follow answered Nov 30, 2011 at 21:27. Mehper C. Palavuzlar Mehper C. Palavuzlar. 35.2k 59 59 gold badges 159 … Webtrichotomy. Section 1 contains the required definitions, preliminary results, and examples. In Section 2 we give a characterization of exponential trichotomy via a certain Liapunov function (Theorem 2.3). In Section 3, we show that an upper triangular system possesses an exponential trichotomy iff the
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