Multibump solutions for perturbations of periodic second order Hamiltonian systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 12, 1996, Pages 1355-1372

  Montecchiari, Piero ^a   Nolasco, Margherita ^a  

^a SISSA   (Italy)

Author keywords

Hamiltonian systems; Homoclinic orbits; Minimax argument; Multibump solutions

Indexed keywords

BOUNDARY CONDITIONS; ENTROPY; MATRIX ALGEBRA; PROBLEM SOLVING; SYSTEMS ANALYSIS; THEOREM PROVING; TOPOLOGY; VARIATIONAL TECHNIQUES;

HOMOCLINIC ORBITS; HOMOCLINIC SOLUTIONS; MINIMAX ARGUMENT; MULTIBUMP SOLUTIONS; SECOND ORDER HAMILTONIAN SYSTEMS;

PERTURBATION TECHNIQUES;

EID: 0030526335     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00134-H     Document Type: Article

References (16)

1. BOLOTIN S. V., The existence of homoclinic motions, Moscow Univ. Math. Bull. 38(1), 117-123 (1983).
2. COTI ZELATI V., EKELAND I. & SÉRÉ E., A variational approach to homoclinic orbits in Hamiltonian systems, Math. Ann. 288, 133-160 (1990).
3. RABINOWITZ P. H., Homoclinic orbits for a class of Hamiltonian systems, Proc. R. Soc. Edinb. 114A, 33-38 (1990).
4. SÉRÉ E., Existence of infinitely many homoclinic orbits in Hamiltonian systems, Math. Z. 209, 27-42 (1992).
5. COTI ZELATI V. & RABINOWITZ P. H., Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials, J. Am. Math. Soc. 4, 693-727 (1991).
6. SÉRÉ E., Looking for the Bernoulli shift, Ann. Inst. H. Poincaré Analyse non Lineaire 10, 561-590 (1993).
7. CALDIROLI P. & MONTECCHIARI P., Homoclinic orbits for second order Hamiltonian systems with potential changing sign, Comm. on Appl. Nonlinear Analysis 1, 97-129 (1994).
8. MEYER K. R. & SELL G. R., Melnikov transforms, Bernoulli bundles, and almost periodic perturbations, Trans. Am. math. Soc. 314, 63-105 (1989).
9. BERTOTTI M. L. & BOLOTIN S., Homoclinic solutions of quasiperiodic Lagrangian systems, preprint (1994).
10. SERRA E., TARALLO M. & TERRACINI S., On the existence of homoclinic solutions for almost periodic second order systems, preprint (1994).
11. BESSI U., Global homoclinic bifurcation for damped systems, Math. Z. (to appear).
12. BESSI U., Homoclinic and period-doubling bifurcations for damped systems, preprint (1993).
13. HOFER H., A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem, J. London math. Soc. 31, 566-570 (1985).
14. AMBROSETTI A., Critical points and nonlinear variational problems, Bul. Soc. math. Fr. 120 (1992).
15. LIONS P. L., The concentration-compactness principle in the calculus of variations. The locally compact case, part 1, Ann. Inst. H. Poincaré 1, 109-145 (1984).
16. MIRANDA C., Un'osservazione su un teorema di Brouwer, Boll. Un. mat. Ital. 3, 5-7 (1940).