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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2026,4]]},"abstract":"<jats:p>In this paper, we are concerned with the spatiotemporal dynamics of the memory-based diffusion with nonlocal perception. The influence of memory-induced diffusion coefficient, perception strength, memory delay and perception scale on the stability of the positive constant steady-state is thoroughly investigated. Our research uncovers a wide array of dynamical behaviors that arise from the combined effects of nonlocal perception and memory. Specifically, under the conditions where memory-induced diffusion prevails, the constant steady-state remains unstable and is unaffected by the strength of perception, the extent of the perceptual scale, and the memory delay. Conversely, when the magnitude of memory-induced diffusion falls below a critical threshold, meaning that nonlocal perception assumes dominance, a greater perception scale can maintain the constant steady-state to be locally asymptotically stable. However, a reduced perception scale, in conjunction with the memory delay, can trigger a variety of complex dynamics, such as Turing, Hopf, Turing\u2013Hopf, and double Hopf bifurcations.<\/jats:p>","DOI":"10.1142\/s0218127426500525","type":"journal-article","created":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T08:03:48Z","timestamp":1767600228000},"source":"Crossref","is-referenced-by-count":1,"title":["Spatiotemporal Patterns Induced by Memory Delay and Nonlocal Perception"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-6031-0823","authenticated-orcid":false,"given":"Yujia","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, P. R. China"},{"name":"School of Mathematics and Statistics, Central South University, Changsha, Hunan 410093, P. R. 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