On exponentially attracting invariant manifolds of ODEs / Ryashko LB,Shnol EE // NONLINEARITY. - 2003. - V. 16, l. 1. - P. 147-160.

ISSN/EISSN:

0951-7715 / нет данных

Type:

Article

Abstract:

Let M be an invariant manifold of an autonomous system of ODEs. We discuss the question: when do all trajectories from some neighbourhood of M quickly tend to M? The linearized equations are considered for solutions of the initial system with trajectories lying on M. Assuming that M is smooth and compact, the following theorem is proved. Them manifold M is exponentially attracting if and only if all components, transversal to M, of solutions of the linearized equations exponentially tend to zero.

Author keywords:

нет данных

DOI:

10.1088/0951-7715/16/1/310

Web of Science ID:

ISI:000180614500011

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	JAN
Publisher	IOP PUBLISHING LTD
Address	DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
Language	English
Article-Number	PII S0951-7715(03)29066-6
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Mathematical
ResearcherID-Numbers	Shnol, Emmanuil/N-9189-2013
ORCID-Numbers	Shnol, Emmanuil/0000-0002-2703-6324
Number-of-Cited-References	14
Usage-Count-Since-2013	4
Journal-ISO	Nonlinearity
Doc-Delivery-Number	639EK