{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,27]],"date-time":"2026-06-27T07:40:47Z","timestamp":1782546047685,"version":"3.54.5"},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,2]]},"abstract":"<jats:p> In this paper, we have considered Time-Frequency Analysis (TFA) and Poincar\u00e9 Surface of Section (PSS) for the study of the phase space structure of nonlinear dynamical system. We have examined a sample of orbits taken in the framework of Circular Restricted Three-Body Problem (CRTBP). We have computed ridge-plots (i.e. time-frequency landscape) using the phase of the continuous wavelet transform. Clear visualization of resonance trappings and the transitions is an important feature of this method, which is presented using ridge-plots. The identification between periodic and quasi-periodic, chaotic sticky and nonsticky and regular and chaotic orbits are done in comparatively less time and with less computational effort. The spatial case of Circular Restricted Three-Body problem is considered to show the strength of Time-Frequency Analysis to higher dimensional systems. Also, with the help of ridge-plots, we can visualize the phenomenon of transient chaos. <\/jats:p>","DOI":"10.1142\/s0218127416500292","type":"journal-article","created":{"date-parts":[[2016,3,10]],"date-time":"2016-03-10T03:26:20Z","timestamp":1457580380000},"page":"1650029","source":"Crossref","is-referenced-by-count":2,"title":["Characterization of the Phase Space Structure of Circular Restricted Three-Body Problem: An Alternative Approach"],"prefix":"10.1142","volume":"26","author":[{"given":"Beena R.","family":"Gupta","sequence":"first","affiliation":[{"name":"Department of Mathematics, Lakshmibai College, University of Delhi, Delhi, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vinay","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zakir Husain Delhi College, University of Delhi, Delhi, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2016,3,9]]},"reference":[{"key":"S0218127416500292BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.asr.2008.01.018"},{"key":"S0218127416500292BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(03)00117-9"},{"key":"S0218127416500292BIB003","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511526121"},{"key":"S0218127416500292BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/18.119728"},{"key":"S0218127416500292BIB005","doi-asserted-by":"publisher","DOI":"10.2514\/1.46400"},{"key":"S0218127416500292BIB006","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.50.346"},{"key":"S0218127416500292BIB007","first-page":"992","volume":"28","author":"Henon M.","year":"1965","journal-title":"Ann. Astrophys."},{"key":"S0218127416500292BIB008","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-8711.2003.06466.x"},{"key":"S0218127416500292BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/B978-012466606-1\/50004-0"},{"key":"S0218127416500292BIB010","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127412502185"},{"key":"S0218127416500292BIB012","first-page":"674","volume":"313","author":"Michtchenko T. A.","year":"1996","journal-title":"Astron. Astrophys."},{"key":"S0218127416500292BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-1180-5"},{"key":"S0218127416500292BIB014","doi-asserted-by":"publisher","DOI":"10.1002\/asna.201212110"},{"key":"S0218127416500292BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s10509-011-0630-0"},{"key":"S0218127416500292BIB016","first-page":"4197","volume":"6","author":"Saha L. M.","year":"2012","journal-title":"Appl. Math. Sci."},{"key":"S0218127416500292BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/s10509-012-1052-3"},{"key":"S0218127416500292BIB018","series-title":"Lecture Notes in Physics","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/978-3-642-04458-8_2","volume-title":"Dynamics of Small Solar System Bodies and Exoplanets","volume":"790","author":"Skokos C. H.","year":"2009"},{"key":"S0218127416500292BIB019","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.82.036704"},{"key":"S0218127416500292BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/BF00691811"},{"key":"S0218127416500292BIB021","volume-title":"Theory of Orbits","author":"Szebehely V.","year":"1967"},{"key":"S0218127416500292BIB022","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127401002766"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416500292","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:24:43Z","timestamp":1565137483000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416500292"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2]]},"references-count":21,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2016,3,9]]},"published-print":{"date-parts":[[2016,2]]}},"alternative-id":["10.1142\/S0218127416500292"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416500292","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,2]]}}}