Limit sets of differential equations near singular critical points

M. V. Shamolin

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 119-128.

Résumé

We suggest a method of the study of dynamical systems near singular critical points, i.e., points in whose neighborhoods the vector field of the system cannot be expanded into a series. We apply methods of the theory of multidimensional topographic Poincaré systems for the search of attracting regimes in the system.

Détail

Keywords: dynamical system, singular critical point, limit cycle.

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