{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T21:25:59Z","timestamp":1783027559538,"version":"3.54.6"},"reference-count":39,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2015,8,3]],"date-time":"2015-08-03T00:00:00Z","timestamp":1438560000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This paper introduces a new simple system with a butterfly chaotic attractor. This system has rich and complex dynamics. With some typical parameters, its Lyapunov dimension is greater than other known three dimensional chaotic systems. It exhibits chaotic behavior over a large range of parameters, and the divergence of flow of this system is not a constant. The dynamics of this new system are analyzed via Lyapunov exponent spectrum, bifurcation diagrams, phase portraits and the Poincar\u00e9 map. The compound structures of this new system are also analyzed. By means of topological horseshoe theory and numerical computation, the Poincar\u00e9 map defined for the system is proved to be semi-conjugate to 3-shift map, and thus the system has positive topological entropy.<\/jats:p>","DOI":"10.3390\/e17085561","type":"journal-article","created":{"date-parts":[[2015,8,5]],"date-time":"2015-08-05T03:18:55Z","timestamp":1438744735000},"page":"5561-5579","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A New Chaotic System with Positive Topological Entropy"],"prefix":"10.3390","volume":"17","author":[{"given":"Zhonglin","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Physics and Electronics, Binzhou University, Binzhou 256600, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Ma","sequence":"additional","affiliation":[{"name":"Department of Physics and Electronics, Binzhou University, Binzhou 256600, China"},{"name":"College of Computer and Control Engineering, Nankai University, Tianjin 300071, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zengqiang","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Computer and Control Engineering, Nankai University, Tianjin 300071, China"},{"name":"College of Science, Civil Aviation University of China, Tianjin 300300, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qing","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Science, Civil Aviation University of China, Tianjin 300300, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,8,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"065202","DOI":"10.1103\/PhysRevE.66.065202","article-title":"Chaos-Based Secure Communications in a Large Community","volume":"66","author":"Wang","year":"2002","journal-title":"Phys. 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