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It is proved that the circuit based on the diode bridge cascaded with fractional\u2010order inductor has volt\u2010ampere characteristics of pinched hysteresis loop. Then the mathematical model of the fractional\u2010order memristor chaotic circuit is obtained. The impact of the order and system parameters on the dynamic behaviors of the chaotic circuit is studied by phase trajectory, Poincar\u00e9 Section, and bifurcation diagram method. The order, as an important parameter, can increase the degree of freedom of the system. With the change of the order and parameters, the circuit will exhibit abundant dynamic behaviors such as coexisting upper and lower limit cycle, single scroll chaotic attractors, and double scroll chaotic attractors under different initial conditions. And the system exhibits antimonotonic behavior of antiperiodic bifurcation with the change of system parameters. The equivalent circuit simulations are designed to verify the results of the theoretical analysis and numerical simulation.<\/jats:p>","DOI":"10.1155\/2019\/6083853","type":"journal-article","created":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T23:59:02Z","timestamp":1558483142000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional\u2010Order Generalized Memristor"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7219-484X","authenticated-orcid":false,"given":"Ningning","family":"Yang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2648-9070","authenticated-orcid":false,"given":"Shucan","family":"Cheng","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3644-4354","authenticated-orcid":false,"given":"Chaojun","family":"Wu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3497-6506","authenticated-orcid":false,"given":"Rong","family":"Jia","sequence":"additional","affiliation":[]},{"given":"Chongxin","family":"Liu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,5,21]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1971.1083337"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature06932"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2012.1480"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127414501430"},{"key":"e_1_2_9_5_2","first-page":"2129","article-title":"First order generalized memristor emulator based on diode bridge and series RL filter","volume":"43","author":"Wu H.-G.","year":"2015","journal-title":"Acta Electronica Sinica"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1049\/el.2017.1647"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aeue.2018.06.042"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.02.031"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2017.11.025"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2012.2204770"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409025031"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2013.2256171"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127417501991"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1515\/fca-2016-0063"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1177\/1077546315574649"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/26\/8\/080503"},{"key":"e_1_2_9_17_2","doi-asserted-by":"crossref","unstructured":"Petr\u00e1\u0161I. 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