Recently, researchers showed that adding a stepwise control pulse to the Sprott C system (with two equilibrium points) can create a translational multi-butterfly attractor. In this research, a sinusoidal control pulse is added to a system with no equilibria. So, a non-autonomous chaotic system with no equilibria is designed and studied. The sinusoidal term causes an extension in the chaotic attractor. Dynamical behaviors of the proposed oscillator are studied. Bifurcation analysis by changing the frequency of the sinusoidal term shows its unbounded solution at some parameters. Also, bifurcation diagram of the oscillator by the force's strength is studied. Lyapunov exponents show that the oscillator has chaotic dynamics in the entire studied interval of force's strength. In addition, circuit implementation shows its feasibility.

最近，研究人员表明，向Sprott C系统（具有两个平衡点）添加逐步控制脉冲可以创建平移的多蝴蝶吸引子。在这项研究中，正弦控制脉冲被添加到没有平衡的系统中。因此，设计并研究了一个没有平衡的非自治混沌系统。正弦项导致混沌吸引子的扩展。研究了所提出的振荡器的动力学行为。通过改变正弦项频率的分叉分析显示了其在某些参数下的无界解。此外，研究了由力的强度引起的振子的分叉图。Lyapunov指数表明，在整个力强度研究区间中，振子具有混沌动力学。另外，电路实现显示了其可行性。