We investigate the impact of a constant force excitation on the dynamics of a simple jerk system with piecewise quadratic nonlinearity. We demonstrate that in the presence of the forcing term, the model is asymmetric yielding more complex and striking bifurcation patterns such as parallel bifurcation branches, coexisting multiple asymmetric attractors, hysteretic dynamics, crises, and coexisting asymmetric bubbles of bifurcation. Accordingly, the coexistence of two, three, four, or five asymmetric periodic and chaotic attractors are reported by changing the model parameters and initial conditions. The control of multistability is investigated by using the method of linear augmentation. We demonstrate that the multistable system can be converted to a monostable state by smoothly adjusting the coupling parameter. A very good agreement is observed between PSpice simulation results and the theoretical study.

中文翻译：

---

在恒定激振力影响下的简单急动系统中的共存气泡、多个吸引子和多稳定性控制

我们研究了恒力激励对具有分段二次非线性的简单加加速度系统的动力学的影响。我们证明，在存在强迫项的情况下，模型是不对称的，产生更复杂和引人注目的分叉模式，例如平行分叉分支、共存的多个不对称吸引子、滞后动力学、危机和共存的不对称分叉气泡。因此，通过改变模型参数和初始条件，报告了两个、三个、四个或五个不对称周期性和混沌吸引子的共存。采用线性增广方法研究了多稳态控制。我们证明了通过平滑调整耦合参数可以将多稳态系统转换为单稳态。