The relationship between conditional and unconditional asymptotic stability properties of the null solution of a differential system satisfying a Lipschitz condition, uniform on the time, are considered. The conditional properties are given on an invariant manifold defined by a first integrals. The results are illustrated by their applications to a bifurcation problem.

First and invariant integrals in stability problems

VISENTIN, FRANCESCA
2003

Abstract

The relationship between conditional and unconditional asymptotic stability properties of the null solution of a differential system satisfying a Lipschitz condition, uniform on the time, are considered. The conditional properties are given on an invariant manifold defined by a first integrals. The results are illustrated by their applications to a bifurcation problem.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/5479
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact