{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T15:50:14Z","timestamp":1762271414739},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,10]]},"abstract":"<jats:p> Parametric instability of quasi-reversal system \u2014 i.e. time reversible systems perturbed with injection and dissipation of energy \u2014 is studied in a unified manner. We infer and characterize an adequate amplitude equation, which is the parametrically driven damped nonlinear Schr\u00f6dinger equation, corrected with higher order terms. This model exhibits rich dynamical behavior which are lost in the parametrically driven damped nonlinear Schr\u00f6dinger equation such as: uniform states, fronts and coherent states. The dynamical behavior of a simple parametrically driven system, the vertically driven chain of pendula, exhibits quite good agreement with the amended amplitude equation. <\/jats:p>","DOI":"10.1142\/s0218127409024967","type":"journal-article","created":{"date-parts":[[2009,12,15]],"date-time":"2009-12-15T06:45:55Z","timestamp":1260859555000},"page":"3525-3532","source":"Crossref","is-referenced-by-count":31,"title":["PARAMETRICALLY DRIVEN INSTABILITY IN QUASI-REVERSAL SYSTEMS"],"prefix":"10.1142","volume":"19","author":[{"given":"MARCEL G.","family":"CLERC","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas, Universidad de Chile, Casilla 487-3, Santiago, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SALIYA","family":"COULIBALY","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas, Universidad de Chile, Casilla 487-3, Santiago, Chile"},{"name":"Laboratoire de Cristallographie et Physique Mol\u00e9culaire (LACPM), UFR Sciences des Structures de la Mati\u00e8re et Technologies (UFR SSMT), Universit\u00e9 de Cocody, Abidjan, C\u00f4te d'Ivoire"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"DAVID","family":"LAROZE","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas, Universidad de Chile, Casilla 487-3, Santiago, Chile"},{"name":"Instituto de Alta Investigaci\u00f3n, Universidad de Tarapac\u00e1, Casilla 7D, Arica, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.84.3053"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0147-9"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/15\/2\/001"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.83.3820"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0030-4018(99)00283-7"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1143\/PTPS.139.337"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127401002316"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.056217"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.77.056209"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409024438"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.49.2087"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.65.851"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.68.1730"},{"key":"rf14","first-page":"319","volume":"52","author":"Faraday M.","journal-title":"Philos. 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