Aim of the paper is to provide a method to analyze the behavior of T-periodic solutions of a perturbed planar Hamiltonian system near a cycle x_0, of smallest period T, of the unperturbed system. The perturbation is represented by a T-periodic multivalued map which vanishes as the parameter tends to zero. In several problems from nonsmooth mechanical systems this multivalued perturbation comes from the Filippovregularization of a nonlinear discontinuous T-periodic term. Through the paper, assuming the existence of a T-periodic solution of the parameterized problems, under the conditionthat x_0 is a nondegenerate cycle of the linearized unperturbed Hamiltonian system, we provide a formula for the distance between any point x_0(t) and the trajectories of the perturbed period solutions along a transversal direction to x_0(t).
On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations / O., Makarenkov; Malaguti, Luisa; P., Nistri. - In: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. - ISSN 0232-2064. - STAMPA. - 30(2011), pp. 129-144.
Data di pubblicazione: | 2011 |
Titolo: | On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations |
Autore/i: | O., Makarenkov; Malaguti, Luisa; P., Nistri |
Autore/i UNIMORE: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.4171/ZAA/1428 |
Rivista: | |
Volume: | 30 |
Pagina iniziale: | 129 |
Pagina finale: | 144 |
Codice identificativo ISI: | WOS:000292125900001 |
Codice identificativo Scopus: | 2-s2.0-79953664144 |
Citazione: | On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations / O., Makarenkov; Malaguti, Luisa; P., Nistri. - In: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. - ISSN 0232-2064. - STAMPA. - 30(2011), pp. 129-144. |
Tipologia | Articolo su rivista |
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Makarenkov Malaguti Nistri 2011.pdf | Post-print dell'autore (bozza post referaggio) | Open Access Visualizza/Apri |

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