Bifurcation and chaos in a system simulating magnetic field configurations |
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| Affiliation: | 1. Department of Civil Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, HKSAR, China;2. Advanced Institute of Natural Sciences, Beijing Normal University at Zhuhai, Zhuhai 519087, China;3. Key Laboratory of New Processing for Nonferrous Metal and Materials (Ministry of Education), School of Resources, Environment and Materials, Guangxi University, Nanning 530004, China;4. Guangdong Provincial Key Laboratory of Radionuclides Pollution Control and Resources, School of Environmental Science and Engineering, Guangzhou University, Guangzhou 510006, China;1. UGC-DAE Consortium for Scientific Research, Kolkata Centre, Sector III, LB-8, Salt Lake, Kolkata 700 106, India;2. Department of Chemistry and the Lise Meitner-Minerva Center of Computational Quantum Chemistry, Bar-Ilan University, Ramat Gan 52900, Israel;3. Department of Physics, Jadavpur University, Kolkata 700 032, India |
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| Abstract: | In the present article, the behaviour of a nonlinear dynamical system has been analysed using the approach of bifurcation theory. The system is important due to the fact that it can simulate the magnetic field configurations in various situations. The nature of bifurcation has been explored in the parameter space with the help of continuation algorithm. The various limit and bifurcation points (BPs) are classified. In the second part, we have studied the temporal evolution of the system which also shows a chaotic behaviour. The system under consideration shows instability both with respect to parameter variation and evolution of time. Lastly, some mechanisms have been studied to control such chaotic scenario. |
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