{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T16:08:39Z","timestamp":1775146119124,"version":"3.50.1"},"reference-count":15,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p> We analytically investigate the dynamics of the generalized Lorenz equations obtained by Stenflo for acoustic gravity waves. By using Descartes' Rule of Signs and Routh\u2013Hurwitz Test, we decide on the stability of the fixed points of the Lorenz\u2013Stenflo system, although without explicit solution of the eigenvalue equation. We determine the precise location where pitchfork and Hopf bifurcation of fixed points occur, as a function of the parameters of the system. Parameter-space plots, Lyapunov exponents, and bifurcation diagrams are used to numerically characterize periodic and chaotic attractors. <\/jats:p>","DOI":"10.1142\/s0218127410025466","type":"journal-article","created":{"date-parts":[[2010,3,25]],"date-time":"2010-03-25T07:49:37Z","timestamp":1269503377000},"page":"145-152","source":"Crossref","is-referenced-by-count":24,"title":["REGULAR AND CHAOTIC DYNAMICS OF THE LORENZ\u2013STENFLO SYSTEM"],"prefix":"10.1142","volume":"20","author":[{"given":"JO\u00c3O C.","family":"XAVIER","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"PAULO C.","family":"RECH","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2008.05.036"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409023676"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1238\/Physica.Regular.063a00177"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.143905"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.055204"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.2714"},{"key":"rf7","volume-title":"Theory of Matrices","volume":"1","author":"Gantmacher F. R.","year":"1989"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"key":"rf9","volume-title":"Chaos in Dynamical Systems","author":"Ott E.","year":"2000"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/53\/1\/015"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/54\/2\/003"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/54\/4\/001"},{"key":"rf13","first-page":"10","volume":"82","author":"Yu M. Y.","journal-title":"Phys. Scr. T"},{"key":"rf14","volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"Wiggins S.","year":"2003"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1063\/1.531938"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127410025466","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T08:39:46Z","timestamp":1565167186000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127410025466"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":15,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1142\/S0218127410025466"],"URL":"https:\/\/doi.org\/10.1142\/s0218127410025466","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}