{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:46:07Z","timestamp":1760784367307},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,11]]},"abstract":"<jats:p> We describe the dynamics of the logistic map [Formula: see text] endowed with memory [Formula: see text] of past iterations with geometric decay. We find that most of the relevant properties of the dynamics can be explained by means of a scaling of the standard logistic map without memory. The bifurcation diagram is therefore a scaled version of the standard map, with the extreme values of the logistic parameter [Formula: see text] for confined trajectories following also the scaling law. However, contrary to the ahistoric model, the trajectories may diverge for smaller values of [Formula: see text], depending on the initial condition [Formula: see text]. Simple conditions for divergence with given logistic map and memory are provided. <\/jats:p>","DOI":"10.1142\/s0218127417501905","type":"journal-article","created":{"date-parts":[[2017,12,18]],"date-time":"2017-12-18T08:20:32Z","timestamp":1513585232000},"page":"1750190","source":"Crossref","is-referenced-by-count":4,"title":["Bifurcation and Chaos in the Logistic Map with Memory"],"prefix":"10.1142","volume":"27","author":[{"given":"Ram\u00f3n","family":"Alonso-Sanz","sequence":"first","affiliation":[{"name":"Complex Systems Group. Universidad Polit\u00e9cnica de Madrid, Escuela T\u00e9cnica Superior de Ingenier\u00eda Agron\u00f3mica, Alimentaria y de Biosistemas. Av. Puerta de Hierro, 2, Madrid 28040, Spain"}]},{"given":"Juan Carlos","family":"Losada","sequence":"additional","affiliation":[{"name":"Complex Systems Group. Universidad Polit\u00e9cnica de Madrid, Escuela T\u00e9cnica Superior de Ingenier\u00eda Agron\u00f3mica, Alimentaria y de Biosistemas. Av. Puerta de Hierro, 2, Madrid 28040, Spain"}]},{"given":"Miguel A.","family":"Porras","sequence":"additional","affiliation":[{"name":"Complex Systems Group. 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