{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,23]],"date-time":"2026-08-23T18:20:35Z","timestamp":1787509235286,"version":"build-2736575974"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Ltd","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,10]]},"abstract":"<jats:p>\n                    It is found that adding constant forcing terms to the Lorenz equations breaks the (x,y)\u2192(-x,-y) symmetry of the system. As a result of the symmetry breaking the consecutive z\n                    <jats:sub>max<\/jats:sub>\n                    return map (the cusp map) gets split into a double-cusp map. We investigate the double-cusp map for the forced Lorenz system using approximate invariant manifolds about the fixed points and use the double-cusp map to understand the stability of the attractor.\n                  <\/jats:p>","DOI":"10.1142\/s0218127403008429","type":"journal-article","created":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T04:06:11Z","timestamp":1070251571000},"page":"3029-3035","source":"Crossref","is-referenced-by-count":13,"title":["THE DOUBLE-CUSP MAP FOR THE FORCED LORENZ SYSTEM"],"prefix":"10.1142","volume":"13","author":[{"given":"MITAXI","family":"MEHTA","sequence":"first","affiliation":[{"name":"Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A. K.","family":"MITTAL","sequence":"additional","affiliation":[{"name":"Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India"},{"name":"Institute of Interdisciplinary Studies, M. N. Saha Centre of Space Studies, Department of Physics, Allahabad University, Allahabad 211002, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S.","family":"DWIVEDI","sequence":"additional","affiliation":[{"name":"Institute of Interdisciplinary Studies, M. N. Saha Centre of Space Studies, Department of Physics, Allahabad University, Allahabad 211002, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.27.1096"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.22.1198"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/17\/5\/005"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"key":"rf7","first-page":"271","volume":"28","author":"Pal P. K.","journal-title":"Indian J. Radio Space Phys."},{"key":"rf8","first-page":"57","volume":"60","author":"Palmer T. N.","journal-title":"Proc. Indian Natl. Sci. Acad. A"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.79.4950"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5767-7"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403008429","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:15:39Z","timestamp":1565122539000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403008429"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,10]]},"references-count":8,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,10]]}},"alternative-id":["10.1142\/S0218127403008429"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403008429","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,10]]}}}