{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T20:51:15Z","timestamp":1759092675665,"version":"3.41.2"},"reference-count":23,"publisher":"AIP Publishing","issue":"8","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11701510"],"award-info":[{"award-number":["11701510"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004731","name":"Natural Science Foundation of Zhejiang Province","doi-asserted-by":"publisher","award":["LY23A010014"],"award-info":[{"award-number":["LY23A010014"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100017529","name":"Major Scientific and Technological Project of Zhejiang Province","doi-asserted-by":"publisher","award":["2022C01178","2022C01193","2023C01125"],"award-info":[{"award-number":["2022C01178","2022C01193","2023C01125"]}],"id":[{"id":"10.13039\/501100017529","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2023,8,1]]},"abstract":"<jats:p>In this paper, we investigate the spatial property of the non-integrable discrete defocusing Hirota equation utilizing a planar nonlinear discrete dynamical map method. We construct the periodic orbit solutions of the stationary discrete defocusing Hirota equation. The behavior of the orbits in the vicinity of the special periodic solution is analyzed by taking advantage of the named residue. We characterize the effects of the parameters on the aperiodic orbits with the aid of numerical simulations. A comparison with the non-integrable discrete defocusing nonlinear Schr\u00f6dinger equation case reveals that the non-integrable discrete defocusing Hirota equation has more abundant spatial properties. Rather an interesting and novel thing is that for any initial value, there exists triperiodic solutions for a reduced map.<\/jats:p>","DOI":"10.1063\/5.0151473","type":"journal-article","created":{"date-parts":[[2023,8,7]],"date-time":"2023-08-07T16:15:42Z","timestamp":1691424942000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Spatial structure of the non-integrable discrete defocusing Hirota equation"],"prefix":"10.1063","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7901-7176","authenticated-orcid":false,"given":"Liyuan","family":"Ma","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Zhejiang University of Technology , Hangzhou 310023, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5355-8505","authenticated-orcid":false,"given":"Miaoshuang","family":"Fang","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Zhejiang University of Technology , Hangzhou 310023, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-5284-8103","authenticated-orcid":false,"given":"Haifang","family":"Song","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Zhejiang University of Technology , Hangzhou 310023, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-7896-4146","authenticated-orcid":false,"given":"Jiali","family":"Zhou","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Zhejiang University of Technology , Hangzhou 310023, People\u2019s Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"317","published-online":{"date-parts":[[2023,8,7]]},"reference":[{"key":"2023080716153171100_c1","doi-asserted-by":"publisher","first-page":"1011","DOI":"10.1063\/1.523009","volume":"17","year":"1976","journal-title":"J. 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