V monografii na osnove filosofskikh rassuzhdeniy vydeleny prichinno-sledstvennye svyazi, kotorye privodyat k zamechatel'nym svoystvam ambivalentnykh sistem.V kachestve matematicheskoy modeli dlya analiza ambivalentnykh sistem s uchetom deystviya mekhanizma sluchaynosti predlozheny differentsial'nye uravneniya Kolmogorova, znakovye grafy i konechnye tsepi Markova. Vvedeno ponyatie myagkogo i zhestkogo gomeostaza i dlya etikh sostoyaniy dokazano, chto diapazon ikh ustoychivosti sil'no razlichaetsya.Vvedeno ponyatie stepeni ostroty protivorechiya i predlozheny formuly dlya vychisleniya etogo koeffitsienta. Ispol'zuya teoriyu zolotogo secheniya, otsenivaetsya stepen' garmonii dlya ambivalentnykh sistem. Dayutsya primery rascheta garmonii dlya sotsial'no-ekonomicheskikh sistem. Stavitsya i reshaetsya zadacha sinteza ambivalentnykh sistem.Podrobno rassmotreny primery primeneniya teorii ambivalentnykh sistem dlya khimiko-tekhnologicheskikh protsessov s protivopolozhnostyami, dlya protsessov obucheniya ne rodnomu yazyku, dlya analiza situatsiy, skladyvayushchikhsya v sotsial'no-ekonomicheskikh sistemakh.
