{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T14:14:01Z","timestamp":1648908841372},"reference-count":19,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,8]]},"abstract":"<jats:p> The chaotic escape of a damped oscillator excited by a periodic string of symmetric pulses of finite width and amplitude from a cubic potential well that typically models a metastable system close to a fold is investigated. Analytical (Melnikov analysis) and numerical results show that chaotic escapes are typically induced over a wide range of parameters by hump-doubling of an external excitation which is initially formed by a periodic string of single-humped symmetric pulses. The analysis reveals that the threshold amplitude for chaotic escape when altering solely the pulse shape presents a minimum as a single-humped pulse transforms into a double-humped pulse, the remaining parameters being held constant. We discuss a physical mechanism concerning the impulse transmitted by the pulse which explains the aforementioned results. <\/jats:p>","DOI":"10.1142\/s0218127405013526","type":"journal-article","created":{"date-parts":[[2005,9,29]],"date-time":"2005-09-29T05:34:54Z","timestamp":1127972094000},"page":"2587-2592","source":"Crossref","is-referenced-by-count":0,"title":["RESHAPING-INDUCED CHAOTIC ESCAPE FROM A POTENTIAL WELL"],"prefix":"10.1142","volume":"15","author":[{"given":"R.","family":"CHAC\u00d3N","sequence":"first","affiliation":[{"name":"Departamento de Electr\u00f3nica e Ingenier\u00eda Electromec\u00e1nica, Escuela de Ingenier\u00edas Industriales, Universidad de Extremadura, Apartado 382, E-06071 Badajoz, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. A.","family":"MART\u00cdNEZ","sequence":"additional","affiliation":[{"name":"Departamento de Ingenier\u00eda El\u00e9ctrica, Electr\u00f3nica y Autom\u00e1tica, Escuela Polit\u00e9cnica Superior, Universidad de Castilla-La Mancha, E-02071 Albacete, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","unstructured":"M.\u00a0Abramowitz and I. A.\u00a0Stegun, Handbook of Mathematical Functions (Dover, NY, 1972)\u00a0pp. 569\u2013585."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.3103"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.51.4900"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.59.6558"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.65.036213"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.68.066217"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(93)90262-Y"},{"key":"rf8","volume-title":"Introduction to Nonlinear Differential and Integral Equations","author":"Davis H. T.","year":"1962"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.37.796"},{"key":"rf10","volume-title":"Table of Integrals, Series and Products","author":"Gradshteyn I.","year":"1994"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1140-2"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(85)90001-6"},{"key":"rf13","first-page":"1","volume":"12","author":"Melnikov V. K.","journal-title":"Trans. Moscow Math. Soc."},{"key":"rf14","first-page":"125","volume":"55","author":"Moon F. C.","journal-title":"Phys. Rev. Lett."},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.54.815"},{"key":"rf16","volume-title":"Methods in Neuronal Modeling","author":"Rinzel J.","year":"1999"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1989.0009"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1990.0022"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(95)00215-4"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127405013526","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T11:04:14Z","timestamp":1565175854000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127405013526"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,8]]},"references-count":19,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,8]]}},"alternative-id":["10.1142\/S0218127405013526"],"URL":"https:\/\/doi.org\/10.1142\/s0218127405013526","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,8]]}}}