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 / L., Salvadori; Visentin, Francesca. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 55:1-2(2003), pp. 141-152.

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.
2003
First and invariant integrals in stability problems / L., Salvadori; Visentin, Francesca. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 55:1-2(2003), pp. 141-152.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/5479
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