Sunto
Viene compiuta un'analisi completa del problema della biforcazione di Hopf relativa ad arbitrarie piccole perturbazioni del secondo membro di un'equazione differenziale in Rn, p=f0(p). Gli autovalori di f′0(O) soddisfano una condizione di non risonanza. I risultati sono forniti in termini delle proprietá di stabilità di un sistema dinamico piano convenientemente associato all'equazione imperturbata.
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Research partially supported by U.S. Army Research Grant DAAG-29-80-C-0060 and by C.N.R. (Italian Council of Research) contr. 79.00696.01.
Work performed under the auspices of the National Group of Math, Phys. of C.N.R.
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Bernfeld, S.R., Negrini, P. & Salvadori, L. Quasi-invariant manifolds, stability, and generalized Hopf bifurcation. Annali di Matematica pura ed applicata 130, 105–119 (1982). https://doi.org/10.1007/BF01761491
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DOI: https://doi.org/10.1007/BF01761491