Asymptotics of activity series at the divergence point |
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| Authors: | Svetlana Ushcats Mykhailo Ushcats Leonid Bulavin Oksana Svechnikova Ihor Mykheliev |
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| Institution: | 1.Biomedical Engineering Department,Amirkabir University of Technology,Tehran,Iran;2.School of Electronics and Telecommunications,Hanoi University of Science and Technology,Hanoi,Vietnam;3.Physics Department,Aristotle University of Thessaloniki,Thessaloníki,Greece;4.Center for Nonlinear Dynamics, Department of Electrical and Communication Engineering,The PNG University of Technology,Lae,Papua New Guinea;5.Centre for Non-Linear Dynamics,Defense University,Bishoftu,Ethiopia |
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| Abstract: | In this article, a simple autonomous transiently chaotic flow with cubic nonlinearities is proposed. This system represents some unusual features such as having a surface of equilibria. We shall describe some dynamical properties and behaviours of this system in terms of eigenvalue structures, bifurcation diagrams, time series, and phase portraits. Various behaviours of this system such as periodic and transiently chaotic dynamics can be shown by setting special parameters in proper values. Our system belongs to a newly introduced category of transiently chaotic systems: systems with hidden attractors. Transiently chaotic behaviour of our proposed system has been implemented and tested by the OrCAD-PSpise software. We have found a proper qualitative similarity between circuit and simulation results. |
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