@article{RSMUP_1993__89__1_0, author = {Sabatini, M.}, title = {Bifurcation of periodic solutions from inversion of stability of periodic O.D.E.'S.}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {90}, year = {1993}, pages = {1-9}, mrnumber = {1229037}, zbl = {0794.34034}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1993__89__1_0} }
Sabatini, M. Bifurcation of periodic solutions from inversion of stability of periodic O.D.E.'S.. Rendiconti del Seminario Matematico della Università di Padova, Tome 90 (1993) pp. 1-9. http://gdmltest.u-ga.fr/item/RSMUP_1993__89__1_0/
[1] Stability theory of dynamical systems, Die Grund. der Math. Wiss. in Einz., vol. 161, Springer-Verlag, Berlin (1970). | MR 289890
- ,[2] Discrete dynamical systems and bifurcation for periodic differential equation, Nonlinear Anal., Theory, Methods Appl., 12-9 (1988), pp. 881-893. | MR 960633 | Zbl 0653.34031
- - ,[3] J. K. HALE, Methods of Bifurcation Theory, Springer, New York (1982). | MR 660633 | Zbl 0487.47039
-[4] Stability of Motion, Die Grund. der Math. Wiss. in Einz., vol. 138, Springer-Verlag, Berlin (1967). | MR 223668 | Zbl 0189.38503
,[5] Ordinary Differential Equations, Pure Appl. Math., vol. XXI, Wiley-Interscience, New York (1980). | MR 587488 | Zbl 0186.40901
,[6] Liapunov direct method in approaching bifurcation problems, Ann. Mat. Pura Appl. (IV), 108 (1976), pp. 211- 226. | MR 445076 | Zbl 0332.34047
- - - ,[7] Bifurcation and stability problems for periodic differential systems, Proc. Conf. on Non Linear Oscillations of Conservative Systems (1985), pp. 305-317 (A. AMBROSETTI, ed.), Pitagora, Bologna.
,[8] Non-linear Differential Equations, MacMillan Company, New York (1964). | MR 177153 | Zbl 0128.08403
- ,[9] Algebraic Topology, McGraw-Hill, Bombay (1966). | MR 210112 | Zbl 0145.43303
,[10] Stability Theory by Liapunov's Second Method, The Mathematical Society of Japan, Tokio (1966). | MR 208086 | Zbl 0144.10802
,