This paper concerns bifurcation for 2π-periodic n-dimensional systems which admit a 2-dimensional attactive center manifold. The 2π-periodic n-dimensional systems (all lying on the center manifold) are determined by using the zeros of "displacement" function. It is also shown that zeros of this function are equivalent to that of the "bifurcation" function used by Cesari and Hale.
Perturbed dynamical systems: displacement and bifurcation functions / L., Salvadori; Visentin, Francesca. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 87:1(1982), pp. 246-255.
Perturbed dynamical systems: displacement and bifurcation functions.
VISENTIN, FRANCESCA
1982
Abstract
This paper concerns bifurcation for 2π-periodic n-dimensional systems which admit a 2-dimensional attactive center manifold. The 2π-periodic n-dimensional systems (all lying on the center manifold) are determined by using the zeros of "displacement" function. It is also shown that zeros of this function are equivalent to that of the "bifurcation" function used by Cesari and Hale.File in questo prodotto:
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