@article{ASNSP_1998_4_27_2_331_0, author = {Berti, Massimiliano and Bolle, Philippe}, title = {Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {331--377}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 27}, number = {2}, year = {1998}, mrnumber = {1664692}, zbl = {0938.34039}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1998_4_27_2_331_0/} }
TY - JOUR AU - Berti, Massimiliano AU - Bolle, Philippe TI - Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1998 SP - 331 EP - 377 VL - 27 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1998_4_27_2_331_0/ LA - en ID - ASNSP_1998_4_27_2_331_0 ER -
%0 Journal Article %A Berti, Massimiliano %A Bolle, Philippe %T Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1998 %P 331-377 %V 27 %N 2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1998_4_27_2_331_0/ %G en %F ASNSP_1998_4_27_2_331_0
Berti, Massimiliano; Bolle, Philippe. Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 27 (1998) no. 2, pp. 331-377. http://www.numdam.org/item/ASNSP_1998_4_27_2_331_0/
[1] Homoclinics: Poincaré-Melnikov type results via a variational approach, C.R.Acad.Sci. Paris Sér. I-Math 323 (1996), 753-758; Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998), 233-252. | Numdam | MR | Zbl
- ,[2] A note on degree theory for gradient mappings, Proc. Amer. Math. Soc. 84 (1982), 591-595. | MR | Zbl
,[3] Homoclinics and chaotic behaviour for perturbed second order systems, to appear in Ann. Mat. Pura Appl. | MR | Zbl
- ,[4] Variational Construction of homoclinics and chaos in presence of a saddle-saddle equilibrium, Rend. Mat. Acc. Lincei 9 (1998), 167-175. | MR | Zbl
- ,[5] A variational construction of chaotic trajectories for a Hamiltonian system on a torus, Boll. Un. Mat. Ital. 1-B8 (1998), 541-570. | MR | Zbl
- ,[6] A global condition for quasi-random behavior in a class of conservative systems, Comm. Pure Appl. Math. 49 (1966), 285-305. | MR | Zbl
- ,[7] Chaotic dynamics in natural Lagrangian systems: a variational approach, preprint.
- ,[8] Homoclinic orbits in Hamiltonian systems, J. Differential Equations 21 (1976), 431-438. | MR | Zbl
,[9] Transversal homoclinic orbits in an integrable Hamiltonian systems, Amer. J. Math. 100 (1978), 631-642. | MR | Zbl
,[10] A note on the topological degree at a critical point of mountain-pass type, Proc. Amer. Math. Soc. 90 (1984), 309-315. | MR | Zbl
,[11] Periodic, non-periodic and irregular motions in a Hamiltonian system, Rocky Mountain J. Math 10 (1980), 679-693. | MR | Zbl
,[12] Looking for the Bernoulli shift, Ann. Inst. H. Poincaré Anal. Non Linéaire 10 (1993), 561-590. | Numdam | MR | Zbl
,[13] On Hamiltonian systems with homoclinic curves of a saddle, Dokl. Akad. Nauk UzSSR 304 (1989), 811-814. | MR | Zbl
- ,[14] Global Bifurcation and Chaos", Applied Mathematical Sciences, Vol.73, Springer-Verlag, 1988. | MR | Zbl
, "