标题： 在杜芬振子中切换混沌的开与关 显示英文标题

标题： Switching chaos on/off in Duffing oscillator

摘要： 周期性激励非线性振荡器会产生丰富而复杂的各种行为，从规则行为到混沌行为。 在本工作中，我们旨在控制，即抑制或产生，经典参考示例中的混沌行为，该示例出现在书籍或介绍性文章中，即杜芬振荡器。 为此，我们提出了一种优雅的策略，即简单地调整时间依赖激励的形状。 所提出的策略的效率通过分析、数值和实验得到证明。 此外，由于其简单性和低成本，这样的工作可以很容易地转化为一个优秀的教学工具。 显示英文摘要

摘要： Periodic forcing of nonlinear oscillators generates a rich and complex variety of behaviors, ranging from regular to chaotic behavior. In this work we seek to control, i.e., either suppress or generate, the chaotic behavior of a classical reference example in books or introductory articles, the Duffing oscillator. For this purpose, we propose an elegant strategy consisting of simply adjusting the shape of the time-dependent forcing. The efficiency of the proposed strategy is shown analytically, numerically and experimentally. In addition due to its simplicity and low cost such a work could easily be turned into an excellent teaching tool.