Synchronization in nonlinear oscillators with conjugate coupling |
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| Affiliation: | 1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People’s Republic of China;2. Department of Physics, Beijing Normal University, Beijing 100875, People’s Republic of China;1. Department of Humanities and Sciences, N.I.T. Goa, Ponda 403401, India;2. School of Basic Sciences, I.I.T. Mandi, Mandi 175001, Himachal Pradesh, India;3. Department of Mathematics and Statistics, I.I.T. Kanpur, Kanpur 208016, India;1. Departamento de Física, Universidade Federal do Paraná, 81531-980 Curitiba, PR, Brazil;2. Instituto de Engenharia, Ciência e Tecnologia, Universidade Federal dos Vales do Jequitinhonha e Mucuri, 39440–000 Janaúba, MG, Brazil;3. Department of Physics, Humboldt University Berlin, 12489 Berlin, Germany;4. Potsdam Institute for Climate Impact Research - Telegraphenberg A 31, 14473 Potsdam, Germany |
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| Abstract: | In this work, we investigate the synchronization in oscillators with conjugate coupling in which oscillators interact via dissimilar variables. The synchronous dynamics and its stability are investigated theoretically and numerically. We find that the synchronous dynamics and its stability are dependent on both coupling scheme and the coupling constant. We also find that the synchronization may be independent of the number of oscillators. Numerical demonstrations with Lorenz oscillators are provided. |
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