Type I vs. type II excitable systems with delayed coupling |
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| Affiliation: | 1. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran;2. Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia;3. Ministry of Higher Education and Scientific Research, Baghdad, Iraq;4. NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;5. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;6. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan |
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| Abstract: | Excitable and oscillatory dynamics of delayed locally coupled type I and type II excitable systems is analyzed. Diffusive and sigmoid coupling have been considered. It is shown that the stability and the patterns of exactly synchronous oscillations depend on the type of excitability and the type of coupling. However, within the same class, characterized by the excitability type and the coupling the dynamics qualitatively depends only on whether the number of units is even or odd. |
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