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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2019,5]]},"abstract":"<jats:p> In this paper, the membership function in fuzzy systems is used in the Diffusion Limited Aggregation (DLA) model to investigate the fractal diffusion of soot particles from diesel engine emissions. The transformation of the morphology of soot particle aggregates and the control of fractal diffusion of soot particles are investigated by analyzing the nonlinear relationship between the motion steps and angles of diffusing particles. The simulation results demonstrate that the morphology of the aggregates varies from loose to compact by changing the particles\u2019 motion steps and angles in membership functions. Meanwhile, the Ballistic Aggregation (BA)-like aggregates are obtained. Furthermore, the control of the morphology of soot particle aggregates is realized, which makes the settlement of the aggregates become easier. This will provide a reference for further understanding the growth mechanism of soot particle diffusion and enhancing the purification technology of the soot particles. <\/jats:p>","DOI":"10.1142\/s0218127419500731","type":"journal-article","created":{"date-parts":[[2019,6,3]],"date-time":"2019-06-03T23:42:25Z","timestamp":1559605345000},"page":"1950073","source":"Crossref","is-referenced-by-count":3,"title":["Fractal Diffusion Limited Aggregation of Soot Particles Based on Fuzzy Membership Functions"],"prefix":"10.1142","volume":"29","author":[{"given":"Jie","family":"Sun","sequence":"first","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Shandong University at Weihai, Weihai 264209, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Qiao","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Shandong University at Weihai, Weihai 264209, P. R. 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