{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,9]],"date-time":"2025-09-09T21:56:59Z","timestamp":1757455019153},"reference-count":6,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,7]]},"abstract":"<jats:p> Currently the main physical laws are formulated as differential equations or correlations, which automatically imply continuity of space and time. These laws control evolution of substance consisting of objects with very small but, nevertheless, finite sizes. We wonder what can describe evolution more faithfully, an exact solution of a boundary value problem for partial differential equations not taking into account the discreteness of matter or numerical investigation of this problem under finite accuracy of calculations. We consider some situations when the latter approach is found to be probably closer to reality. <\/jats:p>","DOI":"10.1142\/s0218127403007643","type":"journal-article","created":{"date-parts":[[2003,8,28]],"date-time":"2003-08-28T05:49:31Z","timestamp":1062049771000},"page":"1811-1821","source":"Crossref","is-referenced-by-count":4,"title":["Phase Transitions in Correct\u2013Incorrect Calculations for Some Evolution Problems"],"prefix":"10.1142","volume":"13","author":[{"given":"A. N.","family":"Sharkovsky","sequence":"first","affiliation":[{"name":"Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka Str., UA-01601 Kyiv-4, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. A.","family":"Berezovsky","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka Str., UA-01601 Kyiv-4, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01571091"},{"key":"rf2","first-page":"1604","volume":"48","author":"Romanenko E. Yu.","journal-title":"Ukrain. Math. J."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499000900"},{"key":"rf5","unstructured":"A. N.\u00a0Sharkovsky, Nonlinear and Turbulent Processes in Physics\u00a03, ed. R. Z.\u00a0Sagdeev (Gordon and Breach, 1984)\u00a0pp. 1621\u20131626."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127492000045"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-1763-0"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403007643","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:16:46Z","timestamp":1565122606000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403007643"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,7]]},"references-count":6,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,7]]}},"alternative-id":["10.1142\/S0218127403007643"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403007643","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,7]]}}}