Periodic and heteroclinic orbits for a periodic hamiltonian system

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1. [1] K.C. Chang, On the Periodic Nonlinearity and Multiplicity of Solutions, Nonlinear Analysis, T.M.A. (to appear). Zbl0681.58036MR993256
2. [2] A. Fonda and J. Mawhin, Multiple Periodic Solutions of Conservative Systems with Periodic Nonlinearity, preprint. Zbl0718.34054MR1026152
3. [3] J. Franks, Generalizations of the Poincaré-Birkhoff Theorem, preprint. Zbl0676.58037MR951509
4. [4] Li Shujie, Multiple Critical Points of Periodic Functional and Some Applications, International Center for Theoretical Physics Tech. Rep. IC-86-191, 
5. [5] J. Mawhin, Forced Second Order Conservative Systems with Periodic Nonlinearity, Analyse Nonlineaire (to appear). Zbl0688.70019
6. [6] J. Mawhin and M. Willem, Multiple Solutions of the Periodic Boundary Value Problem for Some Forced Pendulum-Type Equations, J. Diff. Eq., Vol, 52, 1984, pp. 264-287. Zbl0557.34036MR741271
7. [7] P. Pucci and J. Serrin, A Mountain Pass Theorem, J. Diff. Eq., Vol. 60, 1985, pp. 142- 149. Zbl0585.58006MR808262
8. [8] P. Pucci and J. Serrin, Extensions of the Mountain Pass Theorem, Univ. of Minnesota Math. Rep. 83-150. Zbl0564.58012
9. [9] P.H. Rabinowitz, On a Class of Functionals Invariant Under a Zn Action, Trans. A.M.S. (to appear). Zbl0718.34057
10. [10] P.H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, C.B.M.S. Reg. Conf. Ser. No. 56, Amer. Math. Soc., Providence, RI, 1986. Zbl0609.58002MR845785
11. [11] A.M. Lyapunov, The General Problem of Instability of a Motion, ONTI, Moscow- Leningrad, 1935. 
12. [12] V.V. Kozlov, Instability of Equilibrium in a Potential Field, Russian Math. Surveys, Vol. 36, 1981, pp. 238-239. Zbl0478.70004MR608950
13. [13] V.V. Kozlov, On the Instability of Equilibrium in a Potential Field, Russian Math. Surveys, Vol. 36, 1981, pp. 257-258. Zbl0556.70003MR608950

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