Bifurcations and Attractor-Repeller Splittings of Non-Saddle Sets

Autor:	Héctor Barge, José Manuel Rodríguez Sanjurjo
Rok vydání:	2017
Předmět:	Plane (geometry) 010102 general mathematics Mathematical analysis Fixed point 01 natural sciences 010101 applied mathematics symbols.namesake Ordinary differential equation Stability theory Euler characteristic Attractor symbols 0101 mathematics Analysis Bifurcation Saddle Mathematics
Zdroj:	Journal of Dynamics and Differential Equations. 30:257-272
ISSN:	1572-9222 1040-7294
DOI:	10.1007/s10884-017-9569-3
Popis:	This paper is devoted to the study of some aspects of the stability theory of flows. In particular, we study Morse decompositions induced by non-saddle sets, including their corresponding Morse equations, attractor-repeller splittings of non-saddle sets and bifurcations originated by implosions of the basin of attraction of asymptotically stable fixed points. We also characterize the non-saddle sets of the plane in terms of the Euler characteristic of their region of influence.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a57584d2fff1880c255b0bad93259e05 https://doi.org/10.1007/s10884-017-9569-3 Zobrazit plný text záznamu Full text from SpringerLink