Homoclinic orbits of a Hamiltonian system

Ding, YH;Willem, Michel
(1999) Zeitschrift für angewandte Mathematik und Physik — Vol. 50, n° 5, p. 759-778 (1999)

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Authors
  • Ding, YH
    Author
  • Willem, MichelUCLouvain
    Author
Abstract
We establish existence results of homoclinic orbits of the first order time-dependent Hamiltonian system (z)over dot = JH(z) (t, z), where H(t, z) depends periodically on t, H(t, z) = (1)/(2)zL(t)z + W(t , z), L(t) is a symmetric matrix valued function and W(t, z) satisfies certain global superquadratic condition. We relax partly the assumption often used before: L is independent of t and sp(JL)boolean AND iR = phi.
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Ding, Y., & Willem, M. (1999). Homoclinic orbits of a Hamiltonian system. Zeitschrift für angewandte Mathematik und Physik, 50(5), 759-778. https://doi.org/10.1007/s000330050177 (Original work published 1999)