{ "id": "cond-mat/9911487", "version": "v1", "published": "1999-11-30T16:58:12.000Z", "updated": "1999-11-30T16:58:12.000Z", "title": "Anomalous resonance phenomena of solitary waves with internal modes", "authors": [ "Niurka R. Quintero", "Angel Sanchez", "Franz G. Mertens" ], "comment": "4 pages, 4 figures, to appear in Phys Rev Lett", "doi": "10.1103/PhysRevLett.84.871", "categories": [ "cond-mat.stat-mech", "cond-mat.mes-hall", "math-ph", "math.MP", "nlin.PS", "patt-sol" ], "abstract": "We investigate the non-parametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode of frequency $\\Omega_i$. We show that the strongest resonance arises when the driving frequency $\\delta=\\Omega_i/2$, whereas when $\\delta=\\Omega_i$ the resonance is weaker, disappearing for nonzero damping. At resonance, the dynamics of the kink center of mass becomes chaotic. As we identify the resonance mechanism as an {\\em indirect} coupling to the internal mode due to its symmetry, we expect similar results for other systems.", "revisions": [ { "version": "v1", "updated": "1999-11-30T16:58:12.000Z" } ], "analyses": { "keywords": [ "internal mode", "anomalous resonance phenomena", "pure ac driven dynamics", "nonlinear klein-gordon solitary waves", "expect similar results" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }