{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T13:24:05Z","timestamp":1773753845677,"version":"3.50.1"},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,10]]},"abstract":"<jats:p> We describe how, departing from the Shannon entropy, it is possible to deal with semiquantum time-independent nonlinear Hamiltonians. The interplay between the quantal and classical degrees of freedom can be easily seen, and the set of differential equations that govern the temporal evolution of the quantal mean values and the classical variables is obtained. We find invariants of motion and, particularly, we describe under which conditions, the uncertainty principle remains as an invariant of motion too. Through the analysis of these invariants, it is possible to follow the transition of the system from quantum to classical regime and to conclude that the uncertainty principle behaves as an indicator telling us whether the system is in regular or irregular regime. A simple example is shown. <\/jats:p>","DOI":"10.1142\/s0218127409024918","type":"journal-article","created":{"date-parts":[[2009,12,15]],"date-time":"2009-12-15T06:45:55Z","timestamp":1260859555000},"page":"3473-3484","source":"Crossref","is-referenced-by-count":5,"title":["INFORMATION ENTROPY AND NONLINEAR SEMIQUANTUM DYNAMICS"],"prefix":"10.1142","volume":"19","author":[{"given":"C. M.","family":"SARRIS","sequence":"first","affiliation":[{"name":"Lab. de Sistemas Complejos, Facultad de Ingenieria, Universidad de Buenos Aires, Av. Paseo Colon 850 4to Piso, (1063) Buenos Aires, Argentina"},{"name":"Ciclo Basico Comun, Catedra de Fisica, Universidad de Buenos Aires, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ARACELI N.","family":"PROTO","sequence":"additional","affiliation":[{"name":"Lab. de Sistemas Complejos, Facultad de Ingenieria, Universidad de Buenos Aires, Av. 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