{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:49:20Z","timestamp":1760784560940,"version":"3.37.3"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2019,8]]},"abstract":"<jats:p> Over the last 40 years, the design of [Formula: see text]-dimensional hyperchaotic systems with a maximum number ([Formula: see text]) of positive Lyapunov exponents has been an open problem for research. Nowadays it is not difficult to design [Formula: see text]-dimensional hyperchaotic systems with less than ([Formula: see text]) positive Lyapunov exponents, but it is still extremely difficult to design an [Formula: see text]-dimensional hyperchaotic system with the maximum number ([Formula: see text]) of positive Lyapunov exponents. This paper aims to resolve this challenging problem by developing a chaotification approach using average eigenvalue criteria. The approach consists of four steps: (i) a globally bounded controlled system is designed based on an asymptotically stable nominal system with a uniformly bounded controller; (ii) a closed-loop pole assignment technique is utilized to ensure that the numbers of eigenvalues with positive real parts of the controlled system be equal to ([Formula: see text]) and ([Formula: see text]), respectively, at two saddle-focus equilibrium points; (iii) the number of average eigenvalues with positive real parts is ensured to be equal to ([Formula: see text]) for the controlled system over a given control period; (iv) the smallest value of the positive real parts of the average eigenvalues is ensured to be greater than a given threshold value. Finally, the paper is closed with some typical examples which illustrate the feasibility and performance of the proposed design methodology. <\/jats:p>","DOI":"10.1142\/s0218126619501512","type":"journal-article","created":{"date-parts":[[2018,9,19]],"date-time":"2018-09-19T23:10:48Z","timestamp":1537398648000},"page":"1950151","source":"Crossref","is-referenced-by-count":8,"title":["Construction of Higher-Dimensional Hyperchaotic Systems with a Maximum Number of Positive Lyapunov Exponents under Average Eigenvalue Criteria"],"prefix":"10.1142","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4098-7869","authenticated-orcid":false,"given":"Jianbin","family":"He","sequence":"first","affiliation":[{"name":"School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, P. R. China"},{"name":"School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Simin","family":"Yu","sequence":"additional","affiliation":[{"name":"College of Automation, Guangdong University of Technology, Guangzhou 510006, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,9,2]]},"reference":[{"volume-title":"From Chaos to Order: Methodologies, Perspectives and Applications","year":"2014","author":"Chen G.","key":"S0218126619501512BIB001"},{"volume-title":"Dynamics of the Lorenz System Family: Analysis, Control and Synchronization","year":"2003","author":"Chen G.","key":"S0218126619501512BIB002"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB003","DOI":"10.1142\/5753"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB004","DOI":"10.1142\/S0218127402004164"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB005","DOI":"10.1016\/0375-9601(79)90150-6"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB006","DOI":"10.1142\/S0129183106008625"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB007","DOI":"10.1142\/9789812792662_0005"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB008","DOI":"10.1155\/2014\/368986"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB009","DOI":"10.1007\/s11071-011-0284-z"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB010","DOI":"10.1109\/TCS.1986.1085862"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB011","DOI":"10.1142\/S0218127409025146"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB012","DOI":"10.1142\/S0218127407019950"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB013","DOI":"10.1109\/TCSII.2016.2585680"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB014","DOI":"10.1109\/TCYB.2016.2642166"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB015","DOI":"10.1142\/S0218126618500664"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB016","DOI":"10.1142\/S0218126617501225"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB017","DOI":"10.1142\/S0218126618500573"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB018","DOI":"10.1109\/LED.2017.2672783"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB019","DOI":"10.1142\/S0218127409023275"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB020","DOI":"10.1109\/TCSII.2004.842413"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB021","DOI":"10.1142\/S0218127405013988"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB022","DOI":"10.1142\/S0218127407017276"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB023","DOI":"10.1142\/S0218127404009119"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB024","DOI":"10.1002\/cta.318"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB025","DOI":"10.1142\/S0218127408022391"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB026","DOI":"10.1109\/TCSI.2011.2180429"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB027","DOI":"10.1109\/81.298367"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB028","DOI":"10.1109\/TCSI.2014.2304655"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB029","DOI":"10.1109\/TCSI.2013.2283994"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB030","DOI":"10.1002\/cta.2062"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB031","DOI":"10.1016\/j.cnsns.2011.10.001"},{"doi-asserted-by":"publisher","key":"S0218126619501512BIB032","DOI":"10.1109\/81.246142"}],"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126619501512","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,2]],"date-time":"2019-09-02T23:19:08Z","timestamp":1567466348000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126619501512"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8]]},"references-count":32,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2019,9,2]]},"published-print":{"date-parts":[[2019,8]]}},"alternative-id":["10.1142\/S0218126619501512"],"URL":"https:\/\/doi.org\/10.1142\/s0218126619501512","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"type":"print","value":"0218-1266"},{"type":"electronic","value":"1793-6454"}],"subject":[],"published":{"date-parts":[[2019,8]]}}}