{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T21:42:15Z","timestamp":1771018935709,"version":"3.50.1"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2008,9]]},"abstract":"<jats:p> We propose a new autonomous dynamical system of dimension N = 4 that demonstrates the regime of stable two-frequency motions. It is shown that the system of two generators of quasiperiodic oscillations with symmetric coupling can realize motions on four-dimensional torus with resonant structures on it in the form of three- and two-dimensional torus. We show that with increase of noise intensity when the dimension of torus is higher it is destroyed faster. <\/jats:p>","DOI":"10.1142\/s0218127408021956","type":"journal-article","created":{"date-parts":[[2008,11,28]],"date-time":"2008-11-28T11:12:56Z","timestamp":1227870776000},"page":"2733-2741","source":"Crossref","is-referenced-by-count":14,"title":["TRANSITION TO CHAOS FROM QUASIPERIODIC MOTIONS ON A FOUR-DIMENSIONAL TORUS PERTURBED BY EXTERNAL NOISE"],"prefix":"10.1142","volume":"18","author":[{"given":"V. S.","family":"ANISHCHENKO","sequence":"first","affiliation":[{"name":"Saratov State University, 83, Astrakhanskaya Street, Saratov 410026, Russia"}]},{"given":"S. M.","family":"NIKOLAEV","sequence":"additional","affiliation":[{"name":"Saratov State University, 83, Astrakhanskaya Street, Saratov 410026, Russia"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"739","volume":"24","author":"Afraimovich V.","journal-title":"DAN USSR"},{"key":"rf2","volume-title":"Complicated Oscillations in Simple Systems","author":"Anishchenko V. S.","year":"1990"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.73.056202"},{"key":"rf4","volume-title":"Stochastic Differential Equations, Theory and Applications","author":"Arnold L.","year":"1992"},{"key":"rf5","volume-title":"Turbulence. Principles and Application","author":"Frost Y.","year":"1980"},{"key":"rf6","first-page":"3","volume":"2","author":"Gonchenko S. V.","journal-title":"Nonlin. Dyn."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160010401"},{"key":"rf8","first-page":"339","volume":"44","author":"Landau L. D.","journal-title":"DAN USSR"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01940759"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01646553"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497001527"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(84)90534-6"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127408021956","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:59:37Z","timestamp":1565189977000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127408021956"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,9]]},"references-count":12,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,9]]}},"alternative-id":["10.1142\/S0218127408021956"],"URL":"https:\/\/doi.org\/10.1142\/s0218127408021956","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,9]]}}}