Content-Type: multipart/mixed; boundary="-------------0807020443264" This is a multi-part message in MIME format. ---------------0807020443264 Content-Type: text/plain; name="08-134.comments" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="08-134.comments" 30 pages, 6 figures ---------------0807020443264 Content-Type: text/plain; name="08-134.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="08-134.keywords" Subharmonic solution; bifurcation curve; subharmonic Melnikov function; degeneracy; Puiseux series; Weierstrass preparation theorem; perturbation theory; tree formalism; diagrammatic rules. ---------------0807020443264 Content-Type: application/pdf; name="cg-archive.pdf" Content-Transfer-Encoding: base64 Content-Disposition: inline; filename="cg-archive.pdf" JVBERi0xLjIKJcfsj6IKNSAwIG9iago8PC9MZW5ndGggNiAwIFIvRmlsdGVyIC9GbGF0ZURl Y29kZT4+CnN0cmVhbQp4nL1dSZNcx3G+I3TyL5ibux2c59oXn7xJshyyglbAoQPJA4ABMAgO 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