Synchronization dynamics in a ring of four mutually coupled biological systems |
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| Institution: | 1. Saratov State University, Astrtakhanskaya Str. 83, Saratov 410012, Russia;2. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, Berlin 10623, Germany;1. Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China;2. College of Science, China University of Mining and Technology, Xuzhou 221116, China |
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| Abstract: | This paper considers the synchronization dynamics in a ring of four mutually coupled biological systems described by coupled Van der Pol oscillators. The coupling parameter are non-identical between oscillators. The stability boundaries of the process are first evaluated without the influence of the local injection using the eigenvalues properties and the fourth-order Runge–Kutta algorithm. The effects of a locally injected trajectory on the stability boundaries of the synchronized states are performed using numerical simulations. In both cases, the stability boundaries and the main dynamical states are reported on the stability maps in the (K1, K2) plane. |
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