{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:29:21Z","timestamp":1760239761604,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2020,12,14]],"date-time":"2020-12-14T00:00:00Z","timestamp":1607904000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Games"],"abstract":"<jats:p>In this paper, we study the structure of trajectories of discrete disperse dynamical systems with a Lyapunov function which are generated by set-valued mappings. We establish a weak version of the turnpike property which holds for all trajectories of such dynamical systems which are of a sufficient length. This result is usually true for models of economic growth which are prototypes of our dynamical systems.<\/jats:p>","DOI":"10.3390\/g11040063","type":"journal-article","created":{"date-parts":[[2020,12,14]],"date-time":"2020-12-14T22:30:52Z","timestamp":1607985052000},"page":"63","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Turnpike Property of Trajectories of Dynamical Systems with a Lyapunov Function"],"prefix":"10.3390","volume":"11","author":[{"given":"Alexander J.","family":"Zaslavski","sequence":"first","affiliation":[{"name":"Department of Mathematics, Technion-Israel Institute of Technology, Haifa 3200003, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,12,14]]},"reference":[{"key":"ref_1","first-page":"136","article-title":"Turnpike sets in discrete disperse dynamical systems","volume":"21","author":"Rubinov","year":"1980","journal-title":"Sib. 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