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Based on 1D quadratic map, a 3D exponential hyperchaotic map (3D-EHCM) is constructed, and its dynamic behaviors, such as phase diagram, Lyapunov exponent spectrum, Kolmogorov entropy (KE), correlation dimension, approximate entropy and randomness, are analyzed and tested. The results demonstrate that the 3D-EHCM has ergodicity in a larger range of control parameter, and its state points have a longer period. To counteract dynamical degradation and make it suitable for a PRNG, the periodic point detection and random impulsive perturbation are applied to lengthen the aperiodic time sequence, and statistical results demonstrate that a full-period sequence can be obtained. <\/jats:p>","DOI":"10.1142\/s021812742250095x","type":"journal-article","created":{"date-parts":[[2022,6,14]],"date-time":"2022-06-14T07:22:53Z","timestamp":1655191373000},"source":"Crossref","is-referenced-by-count":38,"title":["Constructing a 3D Exponential Hyperchaotic Map with Application to PRNG"],"prefix":"10.1142","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0809-2424","authenticated-orcid":false,"given":"Yuanyuan","family":"Si","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, University of Jinan, Jinan 250022, P. R. 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