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Also, the system is multistable, which implies another feature of a chaotic system known as the coexistence of numerous spiral attractors with one limit cycle under different initial values. Furthermore, bifurcation analysis reveals interesting phenomena such as period-doubling route to chaos, antimonotonicity, periodic solutions, and quasi-periodic motion. In the meantime, the existence of periodic solutions is confirmed via constructed Poincar\u00e9 return maps. In addition, by studying the influence of system parameters on complexity, it is confirmed that the chaotic system has high spectral entropy. Numerical analysis indicates that the system has a wide variety of strong dynamics. Finally, a message coding application of the proposed system is developed based on periodic solutions, which indicates the importance of studying periodic solutions in dynamical systems. <\/jats:p>","DOI":"10.1142\/s0218127421501698","type":"journal-article","created":{"date-parts":[[2021,9,2]],"date-time":"2021-09-02T06:11:56Z","timestamp":1630563116000},"page":"2150169","source":"Crossref","is-referenced-by-count":4,"title":["Numerical Analysis of a Novel 3D Chaotic System with Period-Subtracting Structures"],"prefix":"10.1142","volume":"31","author":[{"given":"Maryam","family":"Zolfaghari-Nejad","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran"}]},{"given":"Hossein","family":"Hassanpoor","sequence":"additional","affiliation":[{"name":"Department of Medical Engineering, Energy Institute of Higher Education, Saveh, Iran"},{"name":"Department of Cognitive Sciences, Dade Pardazi Shenakht Mehvare Atynegar (DSA) Institute, Tehran, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5166-1779","authenticated-orcid":false,"given":"Mostafa","family":"Charmi","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran"}]}],"member":"219","published-online":{"date-parts":[[2021,9,2]]},"reference":[{"key":"S0218127421501698BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/s11042-018-6213-0"},{"key":"S0218127421501698BIB002","doi-asserted-by":"publisher","DOI":"10.1063\/1.5016329"},{"key":"S0218127421501698BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127420500455"},{"key":"S0218127421501698BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416300342"},{"key":"S0218127421501698BIB005","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/2702653"},{"key":"S0218127421501698BIB006","doi-asserted-by":"publisher","DOI":"10.3390\/e22030341"},{"key":"S0218127421501698BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2016.01.069"},{"key":"S0218127421501698BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2015.06.002"},{"key":"S0218127421501698BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2008.05.014"},{"key":"S0218127421501698BIB010","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/7832489"},{"key":"S0218127421501698BIB011","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/6182183"},{"key":"S0218127421501698BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.03.033"},{"key":"S0218127421501698BIB013","first-page":"502","volume":"347","author":"Ginoux J.-M.","year":"2019","journal-title":"Appl. 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