@article{AIHPC_2006__23_6_877_0,
author = {Ure\~na, Antonio J.},
title = {Isolated periodic minima are unstable},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {877--889},
year = {2006},
publisher = {Elsevier},
volume = {23},
number = {6},
doi = {10.1016/j.anihpc.2005.09.010},
mrnumber = {2271699},
zbl = {05138724},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2005.09.010/}
}
TY - JOUR AU - Ureña, Antonio J. TI - Isolated periodic minima are unstable JO - Annales de l'I.H.P. Analyse non linéaire PY - 2006 SP - 877 EP - 889 VL - 23 IS - 6 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2005.09.010/ DO - 10.1016/j.anihpc.2005.09.010 LA - en ID - AIHPC_2006__23_6_877_0 ER -
Ureña, Antonio J. Isolated periodic minima are unstable. Annales de l'I.H.P. Analyse non linéaire, Tome 23 (2006) no. 6, pp. 877-889. doi: 10.1016/j.anihpc.2005.09.010
[1] , Calculus of Variations and Partial Differential Equations of the First Order, Chelsea, New York, 1989. | Zbl
[2] , , The index of Lyapunov stable fixed points in two dimensions, J. Dynam. Differential Equations 6 (4) (1994) 631-637. | Zbl | MR
[3] , Ordinary Differential Equations, Birkhäuser, Boston, 1982. | Zbl | MR
[4] , Selected Chapters in the Calculus of Variations. Lecture Notes by Oliver Knill, Lectures in Mathematics ETH Zürich, Birkhäuser, Basel, 2003. | Zbl | MR
[5] , Hyperbolic minimizing geodesics, Trans. Amer. Math. Soc. 352 (7) (2000) 3323-3338. | Zbl | MR
[6] , , Instability of periodic orbits in the restricted three body problem, in: New Advances in Celestial Mechanics and Hamiltonian Systems, Kluwer/Plenum, New York, 2004, pp. 153-168. | MR
[7] , The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom, Ergodic Theory Dynam. Systems 18 (4) (1998) 1007-1018. | Zbl | MR
[8] , Instability of periodic solutions obtained by minimization, in: The First 60 Years of Nonlinear Analysis of Jean Mawhin, World Scientific, 2004, pp. 189-197. | Zbl | MR
[9] , , Lectures on Celestial Mechanics, Translation by Charles I. Kalme, Die Grundlehren der mathematischen Wissenschaften, Band 187, Springer-Verlag, New York, 1971. | Zbl | MR
Cité par Sources :





