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Neural networks and reaction-diffusion systems with prescribed dynamics
Affiliation:1. National Research Base of Intelligent Manufacturing Service (Chongqing Technology and Business University), Chongqing Technology and Business University, Chongqing 400067, China;2. Key Laboratory of Complex System Safety and Control (Chongqing University), Ministry of Education, Chongqing 400044, China;3. School of Automation, Chongqing University, Chongqing 400044, China;4. Key Lab for OCME, School of Mathematical Sciences, Chongqing Normal University, Chongqing 400047, China;5. Department of Mechanical Engineering, Universidad Politécnica Salesiana, Cuenca, Ecuador;6. School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China;1. National Engineering Laboratory of Additive Manufacturing for Large Metallic Components, Beihang University, Beijing 100191, China;2. Cast Titanium Alloy R&D Center, Beijing Institute of Aeronautical Materials, Beijing 100095, China;3. Ningbo Institute of Technology, Beihang University, Ningbo 315100, China
Abstract:Reaction-diffusion systems and neural networks are considered. We prove that they can produce any structurally stable inertial dynamics.
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