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.File in questo prodotto:
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