{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T17:18:42Z","timestamp":1773681522696,"version":"3.50.1"},"reference-count":13,"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":[[2003,1]]},"abstract":"<jats:p> The classical dynamics of a hydrogen atom in a generalized van der Waals potential is investigated. In order to carry out the analytical and numerical investigations for a range of parametric values, we removed the singularity of the problem using Levi\u2013Civita regularization and converted the problem into that of two coupled sextic anharmonic oscillators. We give a complete description of the real phase space structure of the converted system and give also an explicit periodic solution for singular common-level sets of the first integrals. All generic bifurcations of Liouville tori were determined theoretically. Numerical investigations are carried out for all generic bifurcations and we observe chaos-order-chaos transition when one of the system parameters is varied. <\/jats:p>","DOI":"10.1142\/s0218127403006364","type":"journal-article","created":{"date-parts":[[2003,2,21]],"date-time":"2003-02-21T09:51:28Z","timestamp":1045821088000},"page":"107-114","source":"Crossref","is-referenced-by-count":7,"title":["BIFURCATIONS OF THE COMMON LEVEL SETS OF ATOMIC HYDROGEN IN VAN DER WAALS POTENTIAL"],"prefix":"10.1142","volume":"13","author":[{"given":"J.","family":"KHARBACH","sequence":"first","affiliation":[{"name":"D\u00e9partement de Physique,  Facult\u00e9 des Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, 30000, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"DEKKAKI","sequence":"additional","affiliation":[{"name":"D\u00e9partement de Physique,  Facult\u00e9 des Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, 30000, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. 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