{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T03:08:54Z","timestamp":1768792134493,"version":"3.49.0"},"reference-count":40,"publisher":"AIP Publishing","issue":"8","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61403115;11571016;51577046"],"award-info":[{"award-number":["61403115;11571016;51577046"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003995","name":"Natural Science Foundation of Anhui Province","doi-asserted-by":"publisher","award":["1508085QF120"],"award-info":[{"award-number":["1508085QF120"]}],"id":[{"id":"10.13039\/501100003995","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2016,8,1]]},"abstract":"<jats:p>This paper proposes a novel approach for generating multi-scroll chaotic attractors in multi-directions for fractional-order (FO) systems. The stair nonlinear function series and the saturated nonlinear function are combined to extend equilibrium points with index 2 in a new FO linear system. With the help of stability theory of FO systems, stability of its equilibrium points is analyzed, and the chaotic behaviors are validated through phase portraits, Lyapunov exponents, and Poincar\u00e9 section. Choosing the order 0.96 as an example, a circuit for generating 2-D grid multiscroll chaotic attractors is designed, and 2-D 9\u2009\u00d7\u20099 grid FO attractors are observed at most. Numerical simulations and circuit experimental results show that the method is feasible and the designed circuit is correct.<\/jats:p>","DOI":"10.1063\/1.4958717","type":"journal-article","created":{"date-parts":[[2016,7,18]],"date-time":"2016-07-18T17:00:23Z","timestamp":1468861223000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":43,"title":["Design and implementation of grid multi-scroll fractional-order chaotic attractors"],"prefix":"10.1063","volume":"26","author":[{"given":"Liping","family":"Chen","sequence":"first","affiliation":[{"name":"Hefei University of Technology 1 School of Electrical Engineering and Automation, , Hefei 230009, China"}]},{"given":"Wei","family":"Pan","sequence":"additional","affiliation":[{"name":"Hefei University of Technology 1 School of Electrical Engineering and Automation, , Hefei 230009, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7780-0861","authenticated-orcid":false,"given":"Ranchao","family":"Wu","sequence":"additional","affiliation":[{"name":"Anhui University 2 School of Mathematics, , Hefei 230039, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4274-4879","authenticated-orcid":false,"given":"J. 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