Structural stability of simplest dynamical inequalities

Autor:	Yu. A. Grishina, A. A. Davydov
Rok vydání:	2007
Předmět:	Controllability Mathematics (miscellaneous) Structural stability Plane (geometry) Bounded function Mathematical analysis Gravitational singularity Singular point of a curve Domain (mathematical analysis) Mathematics Complement (set theory)
Zdroj:	Proceedings of the Steklov Institute of Mathematics. 256:80-91
ISSN:	1531-8605 0081-5438
DOI:	10.1134/s0081543807010051
Popis:	The structural stability of families of orbits is proved for the simplest generic smooth dynamical inequality in the plane with bounded complement of the domain of complete controllability. Typical singularities of the boundaries of nonlocal transitivity zones for such inequalities are found. The stability of these singularities under small perturbations of the generic inequality is proved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1e86b252dc5ce0b967146e98c57625d6 https://doi.org/10.1134/s0081543807010051 Zobrazit plný text záznamu Full text from SpringerLink