{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,21]],"date-time":"2026-03-21T02:18:24Z","timestamp":1774059504441,"version":"3.50.1"},"reference-count":35,"publisher":"World Scientific Pub Co Pte Ltd","issue":"13","funder":[{"name":"the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia","award":["KEP-17-130-41"],"award-info":[{"award-number":["KEP-17-130-41"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2020,10]]},"abstract":"<jats:p> We examine the orbital dynamics in a new H\u00e9non\u2013Heiles system with an additional gravitational potential, by classifying sets of starting conditions of trajectories. Specifically, we obtain the results on how the total orbital energy along with the transition parameter influence the overall dynamics of the massless test particle, as well as the respective time of escape\/collision. By using modern diagrams with color codes we manage to present the different types of basins of the system. We show that the character of the orbits is highly dependent on the energy and the transition parameter. <\/jats:p>","DOI":"10.1142\/s0218127420501977","type":"journal-article","created":{"date-parts":[[2020,10,30]],"date-time":"2020-10-30T01:22:12Z","timestamp":1604020932000},"page":"2050197","source":"Crossref","is-referenced-by-count":10,"title":["A New Formulation of a H\u00e9non\u2013Heiles Potential with Additional Singular Gravitational Terms"],"prefix":"10.1142","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1565-4467","authenticated-orcid":false,"given":"Euaggelos E.","family":"Zotos","sequence":"first","affiliation":[{"name":"Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24, Thessaloniki, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Chen","sequence":"additional","affiliation":[{"name":"LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, P. R. China"},{"name":"Peng Cheng Laboratory, Shenzhen, Guangdong 518055, P. R. China"},{"name":"Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing 100191, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan F.","family":"Navarro","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University of Alicante, Carretera San Vicente del Raspeig s\/n, 03690, Alicante, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tareq","family":"Saeed","sequence":"additional","affiliation":[{"name":"Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. 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