1. Vibrational resonance and ghost-vibrational resonance occurrence in Chua’s circuit models with specific nonlinearities
- Author
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Saverio Morfu, B.I. Usama, Patrick Marquié, Equipe CORES [ImViA - EA7535] (CORES), Imagerie et Vision Artificielle [Dijon] (ImViA), Université de Bourgogne (UB)-Université de Bourgogne (UB), and Université Bourgogne Franche-Comté [COMUE] (UBFC)
- Subjects
Physics ,Chua's circuit ,Vibrational resonance ,General Mathematics ,Applied Mathematics ,General Physics and Astronomy ,Perturbation (astronomy) ,Resonance ,Statistical and Nonlinear Physics ,Sawtooth wave ,Multistability ,Low frequency ,01 natural sciences ,010305 fluids & plasmas ,Nonlinear system ,Stochastic Resonance ,[SPI]Engineering Sciences [physics] ,Amplitude ,Quantum electrodynamics ,Nonlinear dynamics ,0103 physical sciences ,[NLIN]Nonlinear Sciences [physics] ,Ghost-vibrational resonance ,010306 general physics ,Excitation - Abstract
International audience; This work numerically investigates the dynamics of a Chua’s circuit model experiencing a truncated sinusoidal force and driven by an external perturbed excitation. We mainly study the impact of the system’s nonlinearity on the occurrence of Vibrational Resonance (VR) and Ghost-Vibrational Resonance (GVR) phenomena. When a truncated sinusoidal nonlinearity is used, the system requires relatively smaller perturbation amplitude to attain its maximum response better than the one achieved with a sawtooth nonlinearity which requires a larger perturbation amplitude. Therefore, the system with a truncated sinusoidal nonlinearity outperforms the one with a sawtooth nonlinearity. Exciting the system with two low frequency inputs and an additive high frequency perturbation, we identify different ranges of the perturbation amplitude in which the occurrence of VR and GVR phenomena are maximized. We show that depending on the perturbation amplitude, the system can synchronize its response with the ghost frequency or one of the two input low frequencies.
- Published
- 2021
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