Open AccessSLOW INTEGRAL MANIFOLDS WITH A CHANGE OF STABILITY
Author(s) -
Т.В. Симонова
Publication year - 2012
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2012-18-6-49-57
Subject(s) - stability (learning theory) , mathematics , manifold (fluid mechanics) , variable (mathematics) , mathematical analysis , change of variables (pde) , function (biology) , computer science , engineering , differential equation , mechanical engineering , differential algebraic equation , ordinary differential equation , machine learning , evolutionary biology , biology
The paper is devoted to the investigation of slow integral manifolds with a change of stability in the case of vector fast variable. The existence conditions of the gluing function are given. The problem of construction of the integral manifold with a change of stability for systems with vector fast and slow variables is solved.