{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T18:59:40Z","timestamp":1762541980257,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2011,2,8]],"date-time":"2011-02-08T00:00:00Z","timestamp":1297123200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this work, we focused mainly in the analysis of stability of a non-endoreversible Curzon-Ahlborn engine working in an ecological regime. For comparison purposes we also include the Maximum Efficient Power (MEP) regime taking into account the engine time delays. When the system\u2019s dynamic stability is compared with its thermodynamics properties (efficiency and power output), we find that the temperature ratio \u03c4 = T1\/T2 represents a trade-off between stability and energetic properties. When we take the non-endoreversible case, \u03c4 can increases to values greater than R (where R is the non-endoreversible parameter) but not greater than one. We reformulate an important difference between this case and the other two, Maximum Power (MP) and MEP regime, in which \u03c4 = R. Finally, we demonstrated that the total time delay does not destabilize the steady state of system. It does not seem to play a role in the dynamic thermodynamic property trade-off.<\/jats:p>","DOI":"10.3390\/e13020422","type":"journal-article","created":{"date-parts":[[2011,2,8]],"date-time":"2011-02-08T11:09:56Z","timestamp":1297163396000},"page":"422-436","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes"],"prefix":"10.3390","volume":"13","author":[{"given":"Norma","family":"Sanchez-Salas","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Escuela Superior de F\u00edsica y Matem\u00e1ticas del IPN, Edif. 9 U.P. Zacatenco CP 07738, D.F., Mexico"}]},{"given":"Juan  C.","family":"Chimal-Eguia","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n en Computaci\u00f3n del I.P.N., Av. Juan de Dios B\u00e1tiz s\/n U.P. Zacatenco CP 07738, D.F., Mexico"},{"name":"Centre for Mathematical Biology, Department of Mathematics and Statistics Sciences, University of Alberta, Edmonton, Alberta T6G 2E1, Canada"}]},{"given":"Florencio","family":"Guzman-Aguilar","sequence":"additional","affiliation":[{"name":"Departamento de Formaci\u00f3n B\u00e1sica, Escuela Superior de C\u00f3mputo del IPN, Av. Miguel Bernal Esq. Juan de Dios B\u00e1tiz U.P. Zacatenco CP 07738, D.F., Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2011,2,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1119\/1.10023","article-title":"Efficiency of a Carnot engine at maximum power output","volume":"43","author":"Curzon","year":"1975","journal-title":"Am. J. Phys."},{"key":"ref_2","unstructured":"De Vos, A. (1992). Endoreversible Thermodynamics of Solar Energy Conversion, Oxford University Press."},{"key":"ref_3","unstructured":"Sieniutycs, S., and Salamon, P. (1990). 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