Bi-periodic behaviour in the diffusive autocatalator |
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| Institution: | 1. The Key Laboratory of Polymer Processing Engineering of Ministry of Education, Guangdong Provincial Key Laboratory of Technique and Equipment for Macromolecular Advanced Manufacturing, South China University of Technology, Guangzhou, 510640, PR China;2. College of Polymer Science and Engineering, State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, 610065, PR China;3. College of Chemistry, Chemical Engineering and Materials Science, State and Local Joint Engineering Laboratory for Novel Functional Polymeric Materials, Jiangsu Key Laboratory of Advanced Functional Polymer Design and Application, Suzhou Key Laboratory of Macromolecular Design and Precision Synthesis, Soochow University, Suzhou, 215123, PR China;4. The Key Laboratory of Advanced Materials Processing and Mold of Ministry of Education, Zhengzhou University, Zhengzhou, 450002, PR China;1. Faculty of Chemical & Natural Resources Engineering, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia;2. Chemical Engineering Department, Universiti Teknologi PETRONAS, 31750, Tronoh, Perak, Malaysia;3. Institute of Chemical Technology, Vietnam Academy of Science and Technology, 1 Mac Dinh Chi Str., Dist.1, Ho Chi Minh City, Viet Nam;4. Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Katahira 2-1-1, Aoba-Ku, Sendai 980-8577, Japan;5. Ceramics and Biomaterials Research Group, Advanced Institute of Materials Science & Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;6. Nguyen Tat Thanh University, 300A Nguyen Tat Thanh Street, Ward 13, District 4, Ho Chi Minh City, Viet Nam;7. ATODATECH LLC, Brentwood, CA 94513, USA;1. Department of Electrical and Electronic Engineering, Southern University of Science and Technology, Shenzhen, China;2. Shenzhen Key Laboratory of 3rd Generation Semiconductor Devices, Shenzhen, China;3. Department of Micro- and Nanotechnology, Technical University of Denmark, DTU Nanotech, Building 345E, DK-2800 Kgs Lyngby, Denmark;4. School of Electronic and Information Engineering, Harbin Institute of Technology Shenzhen Graduate School, Shenzhen 518055, China;5. State Key Lab of Transducer Technology, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China;1. Louisiana State University, Baton Rouge, LA 70803, USA;2. KTH Royal Institute of Technology, Stockholm, Sweden;3. National Energy Technology Laboratory, U.S. Department of Energy, Morgantown, WV 26507, USA;1. Federal University of Uberlândia, School of Chemical Engineering, Uberlândia-MG, 38400-098, Brazil;2. National Institute of Technology, Division of Catalysis and Chemical Processes, Rio de Janeiro-RJ, 20081-312, Brazil;1. Nakil Sung, Department of Economics, University of Seoul, Seoulsiripdaero 163, Dongdaemun-gu, Seoul, 02504, South Korea;2. Minchang Kim, Department of Economics, Gangneung-wonju National University, Jukheon-gil 7, Gangneung-si, Gangwon-do, 25457, South Korea |
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| Abstract: | We consider a reaction-diffusion system, consisting of two coupled PDEs with equal diffusion coefficients, describing autocatalysis under isothermal conditions in a slab. With enforced symmetric boundary conditions only stationary or simple periodic behaviour occurs. When the symmetry is broken by enforcing non-symmetric boundary conditions we have obtained bi-periodic solutions. We have also obtained oscillations essentially confined to one half of the spatial domain. |
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