Bifurcation and total stability

M. L. Bertotti; V. Moauro

Rendiconti del Seminario Matematico della Università di Padova (1984)

  • Volume: 71, page 131-139
  • ISSN: 0041-8994

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Bertotti, M. L., and Moauro, V.. "Bifurcation and total stability." Rendiconti del Seminario Matematico della Università di Padova 71 (1984): 131-139. <http://eudml.org/doc/107928>.

@article{Bertotti1984,
author = {Bertotti, M. L., Moauro, V.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {bifurcation; asymptotic stability; total stability; examples; Hopf bifurcation},
language = {eng},
pages = {131-139},
publisher = {Seminario Matematico of the University of Padua},
title = {Bifurcation and total stability},
url = {http://eudml.org/doc/107928},
volume = {71},
year = {1984},
}

TY - JOUR
AU - Bertotti, M. L.
AU - Moauro, V.
TI - Bifurcation and total stability
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1984
PB - Seminario Matematico of the University of Padua
VL - 71
SP - 131
EP - 139
LA - eng
KW - bifurcation; asymptotic stability; total stability; examples; Hopf bifurcation
UR - http://eudml.org/doc/107928
ER -

References

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  1. [1] F. Marchetti - P. Negrini - L. Salvadori - M. Scalia, Liapunov direct method in approaching bifurcation problems, Annali Mat. pur. appl., (IV) cviii (1976), pp. 211-225. Zbl0332.34047MR445076
  2. [2] L. Salvadori, Generalized Hopf bifurcation and related stabitity problems, Proc. Conter. « Qualitative Theory of Diff. Eqs. » Szeged, Hungary (1979), Colloquia Math. Soc. Janof Poljai, 30. Zbl0489.34054
  3. [3] J.L. Massera, Contributions to stabitity theory, Ann. Math., 64 (1956), pp. 182-206. Correction, Ann. Math., 68 (1958), p. 202. Zbl0070.31003MR79179
  4. [4] J. Auslander - P. Seibert, Prolongations and generalized Liapunov functions, Ann. Inst. Fourier, Grenoble, 14 (1964), pp. 237-268. Zbl0128.31303MR176180
  5. [5] P. Seibert, Establidad bajo perturbaciones sostenidas y su generalizacion en flujos continuous, Acta Mexic. Science Tecnol.,11 (3) (1968), pp. 154-165. Zbl0215.15104MR251329
  6. [6] P. Negrini - L. Salvadori, Attractivity and Hopf bifurcation, Nonlinear Analysis, T.M.A., 3 (1979), pp. 87-99. Zbl0423.34062MR520476
  7. [7] J.E. Marsden - M. McCracken, The Hopf bifurcation and its application, Appl. Math. Sci., Springer-Verlag, 19 (1976). Zbl0346.58007MR494309
  8. [8] A.A. Andronov - E.A. Leontovich - I.I. Gordon - A.G. Maier, Theory of Bifurcations of Dynamical Systems on a Plane, Halsted Press, New York, 1973. MR344606
  9. [9] V. Moauro, Bifurcation of closed orbits from a limit cycle in R2, Rend. Sem. Mat. Padova, 65 (1981). Zbl0486.34025MR653301

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