{"paper":{"title":"On the Amplitude of External Perurbation and Chaos via Devil's Staircasein Muthuswamy-Chua System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Sadataka Furui, Tomoyuki Takano","submitted_at":"2014-06-17T12:34:05Z","abstract_excerpt":"We recently analyzed the voltage of the memristic circuit proposed by Muthuswamy and Chua by adding an external sinusoidal oscillation $\\gamma\\omega \\cos\\omega t$ to the ${\\dot y}(t)\\simeq {\\dot i_L}(t)$, when the ${\\dot x}(t)\\simeq {\\dot v_C}(t)$ is given by $y(t)/C$.\n  When $f_s<f_d$ we have observed that the H\\\"older exponent of the system with $C=1$ is larger than 1, and that of the system with $C=1.2$ is less than 1. The latter system is unstable, and the route to chaos via the devil's staircase is observed.\n  Above the mode of $f_d=1, f_s=1$ observed at $\\omega\\simeq 0.5$, we observed a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4346","kind":"arxiv","version":2},"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"}