ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Investigations in the Global Qualitative Theory of Differential Equations at the Chair of Differential Equations of Petersburg University

Author(s):

S. Yu. Pilyugin

St.Petersburg State University,
Chair of Differential Equations,
Bibliotechnaya sq., 2, 198904, St.Petersburg, Russia

sp@spil.usr.pu.ru

Abstract:

This review is devoted to achievements of members of the chair of differential equations during the last 30 years in the field of the global qualitative theory of differential equations. The list of research fields includes structurally stable systems (both autonomous differential equations and diffeomorphisms), global bifurcations, singular heteroclinic contours, attractors, systems with an invariant measure, methods of shadowing of pseudotrajectories, quasiquadratic systems etc. Bibliogr. 90 titl.

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