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Multibump periodic motions of an infinite lattice of particles

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References

  1. A. Ambrosetti, P.H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Anal.14 (1973) 349–381

    Article  MATH  MathSciNet  Google Scholar 

  2. G. Arioli, F. Gazzola, Periodic motions of an infinite lattice of particles with nearest neighbor interaction, Nonl. Anal. TMA26 6) (1996) 1103–1114

    Article  MATH  MathSciNet  Google Scholar 

  3. G. Arioli, F. Gazzola, Existence and numerical approximation of periodic motions of an infinite lattice of particles, Z.A.M.P.46 (1995) 898–912

    Article  MATH  MathSciNet  Google Scholar 

  4. P. Caldiroli, P. Montecchiari, Homoclinic orbits for second order Hamiltonian systems with potential changing sign, Comm. Appl. Nonl. Anal.1 (1994) 97–129

    MATH  MathSciNet  Google Scholar 

  5. V. Coti Zelati, I. Ekeland, E. Séré, A variational approach to homoclinic orbits in Hamiltonian systems, Math. Ann.288 (1990) 133–160

    Article  MATH  MathSciNet  Google Scholar 

  6. V. Coti Zelati, P.H. Rabinowitz, Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials, J. of the AMS4, 4 (1991) 693–727

    MATH  MathSciNet  Google Scholar 

  7. V. Coti Zelati, P.H. Rabinowitz, Homoclinic type solutions for a semilinear elliptic PDE on ℝn, Comm. Pure App. Math.XLV (1992) 1217–1269

    MathSciNet  Google Scholar 

  8. J. Mawhin, M. Willem, Critical point theory and Hamiltonian systems Applied Math. Sciences74, New York, Springer-Verlag, 1989

    Google Scholar 

  9. C. Miranda, Un’osservazione su un teorema di Brouwer, Boll. Un. Mat. It.II, III (1940–1941) 5–7

    MathSciNet  Google Scholar 

  10. E. Séré, Existence of infinitely many homoclinic orbits in Hamiltonian systems, Math. Z.209, (1992) 27–42

    Article  MATH  MathSciNet  Google Scholar 

  11. E. Séré, Looking for the Bernoulli shift, Ann. Inst. H.P.10, 5 (1993) 561–590

    MATH  Google Scholar 

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Arioli, G., Gazzola, F. & Terracini, S. Multibump periodic motions of an infinite lattice of particles. Math Z 223, 627–642 (1996). https://doi.org/10.1007/PL00004276

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  • DOI: https://doi.org/10.1007/PL00004276

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