{"paper":{"title":"Anomalous resonance phenomena of solitary waves with internal modes","license":"","headline":"","cross_cats":["cond-mat.mes-hall","math-ph","math.MP","nlin.PS","patt-sol"],"primary_cat":"cond-mat.stat-mech","authors_text":"Angel Sanchez (GISC, Dpto. Matematicas, Franz G. Mertens (Physikalisches Institut, Niurka R. Quintero, U. Bayreuth), U. Carlos III de Madrid)","submitted_at":"1999-11-30T16:58:12Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9911487","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}