Corron Ned J., Pethel Shawn D.
U. S. Army Aviation and Missile Command, AMSAM-RD-WS-ST, Redstone Arsenal, Alabama 35898.
Chaos. 2002 Mar;12(1):1-7. doi: 10.1063/1.1429966.
We demonstrate experimental control of long-period orbits and arbitrary chaotic trajectories using a new chaos control technique called dynamic limiting. Based on limiter control, dynamic limiting uses a predetermined sequence of limiter levels applied to the chaotic system to stabilize natural states of the system. The limiter sequence is clocked by the natural return time of the chaotic system such that the oscillator sees a new limiter level for each peak return. We demonstrate control of period-8 and period-34 unstable periodic orbits in a low-frequency circuit and provide evidence that the control perturbations are minimal. We also demonstrate control of an arbitrary waveform by replaying a sequence captured from the uncontrolled oscillator, achieving a form of delayed self-synchronization. Finally, we discuss the use of dynamic limiting for high-frequency chaos communications. (c) 2002 American Institute of Physics.
我们使用一种名为动态限幅的新混沌控制技术，展示了对长周期轨道和任意混沌轨迹的实验控制。基于限幅器控制，动态限幅利用应用于混沌系统的预定限幅器电平序列来稳定系统的自然状态。限幅器序列由混沌系统的自然返回时间计时，使得振荡器在每次峰值返回时看到一个新的限幅器电平。我们展示了在低频电路中对周期为8和周期为34的不稳定周期轨道的控制，并提供证据表明控制扰动最小。我们还通过重放从不受控振荡器捕获的序列来展示对任意波形的控制，实现了一种延迟自同步形式。最后，我们讨论了动态限幅在高频混沌通信中的应用。（c）2002美国物理学会。
