On the influence of a constant force on the appearance of period-doubling bifurcations and chaos in a harmonically excited pure cubic oscillator |
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| Authors: | Ivana Kovacic Giuseppe Rega Miodrag Zukovic |
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| Affiliation: | 1. Institute of Complexity Science, School of Automation, Qingdao University, Qingdao 266071, PR China;2. School of Automation, Southeast University, Nanjing 210096, PR China;3. Key Laboratory of Measurement and Control of CSE, Ministry of Education, PR China;4. School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, PR China |
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| Abstract: | ![]()
A pure cubic oscillator with a constant and a harmonic force acting on it, which represents a nonlinear asymmetric system, is considered. Building on previous studies on the matter, analytical and numerical approaches are used to examine and illustrate its dynamics related to the phenomenon of period-doubling bifurcations and their development into chaos for different values of the constant force. The region of control parameters in which this scenario is possible is determined and discussed with a view to revisiting literature results and to giving novel and deeper insights into the phenomenon related to the influence of the magnitude of the constant force and certain resonances. |
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