A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory

Juan J. Morales-Ruiz
2002 Differential Galois Theory   unpublished
We obtain an algebraic interpretation by means of the Picard-Vessiot theory of a result by Ziglin about the self-intersection of complex separatrices of time-periodically perturbed one-degree of freedom complex analytical Hamiltonian systems. [165]
doi:10.4064/bc58-0-12 fatcat:xul7ttw5szgidow4floskbbawa