A digital model of coupled oscillators |
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| Institution: | 1. Center for Applied Mathematics, Cornell University, NY 14853-1503, United States;2. Dept. Mathematics, Cornell University, Ithaca, NY 14853-1503, United States;3. Dept. Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853-1503, United States;1. Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt;2. Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt;3. Department of Mathematics, College of Science, University of Jeddah, Jeddah, Saudi Arabia;1. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Applied and Industrial Mathematics Research Group, Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, 26300 Kuantan, Pahang, Malaysia;3. Energy and Thermal Systems Laboratory, National Engineering School of Monastir, Street Ibn El Jazzar, 5019 Monastir, Tunisia;1. Department of Mathematics, Shiraz University of Technology, Shiraz, Iran;2. Department of Applied Mathematics, Xi''an Jiaotong-Liverpool University, Suzhou 215123, Jiangsu, China;3. Department of Mathematics and Statistics, Mississippi State University, MS 39762, USA;1. Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia;2. Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;4. Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Surabaya 60115, Indonesia;5. International Cultural Exchange School (ICES), Donghua University, West Yanan Road 1882, Shanghai 200051, China;1. Laboratory of Mathematics and Its Applications (LAMAP), University of Oran1 Ahmed Ben Bella, Oran, 31000, Algeria;2. Institute of Space Sciences, Magurele, 077125 Bucharest, Romania |
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| Abstract: | A new model of coupled oscillators is proposed and investigated. All phase variables and parameters are integer-valued. The model is shown to exhibit two types of motions, those which involve periodic phase differences, and those which involve drift. Traditional dynamical concepts such as stability, bifurcation and chaos are examined for this class of integer-valued systems. Numerical results are presented for systems of two and three oscillators. This work has application in digital technology. |
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