The nonlinear dynamics of an underdamped sinusoidal potential system is experimentally and numerically studied. The system shows regular (nonchaotic) periodic motion when driven by a small amplitude ([Formula: see text]) sinusoidal force (frequency [Formula: see text]). However, when the system is driven by a similarly small amplitude biharmonic force (frequencies [Formula: see text] and [Formula: see text] with amplitudes [Formula: see text] and [Formula: see text], respectively) chaotic motion appear as a function of amplitude ([Formula: see text]) of the [Formula: see text]-frequency component for a fixed [Formula: see text]. We investigate the effect of an additional constant force [Formula: see text] on the dynamics of the system in the ([Formula: see text]) space. We find that [Formula: see text] can cause chaotic motion to move to regular motion and regular motion can also become chaotic in certain ([Formula: see text]) domains.

中文翻译：

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恒定偏置对双调和驱动正弦电位系统非线性动力学的影响

对欠阻尼正弦电位系统的非线性动力学进行了实验和数值研究。当由小幅度（[公式：参见文本]）正弦力（频率 [公式：参见文本]）驱动时，系统显示规则（非混沌）周期性运动。然而，当系统由类似的小幅度双谐波力驱动时（频率 [公式：见文本] 和 [公式：见文本]，幅度分别为 [公式：见文本] 和 [公式：见文本]）混沌运动出现作为固定[公式：参见文本]的[公式：参见文本]频率分量的幅度（[公式：参见文本]）的函数。我们研究了附加恒定力 [公式：参见文本] 对（[公式：参见文本]）空间中系统动力学的影响。我们发现 [公式：