非线性谐振电路中的量子化振幅
Quantized amplitudes in a nonlinear resonant electrical circuit
摘要：
我们提出了一个简单的非线性谐振模拟电路，演示了量化的谐振幅度，对于一个给定的激励水平。该系统是一个简单的RLC谐振器，其中C是一个有源电容器，其值与电路中的电流有关。这种变化在能量上等效于势能的变化，并且电路在引力场中充当钟摆。励磁电压以当前频率同步切换，使电力供应并保持系统的振荡。激励频率被设置为基波振荡的高次谐波，以便各向异性可以保持电路电压和电流的幅度恒定。电路的行为是不寻常的：不同的稳定振幅已被测量取决于初始条件和激励频率，对于相同的激励振幅。激励频率自然地由电路分频，并且比率保持恒定而不受外部干扰。此外，只要观察到振荡，倾倒的变化不会显著影响振幅。最后，电脉冲可以改变，如在量子系统中，操作幅度是自动稳定的，没有干扰。这种电路的许多应用可以想象在微电子（包括计算），能量转换和时域和频域。
英文摘要：
We present a simple nonlinear resonant analog circuit which demonstrates quantization of resonating amplitudes, for a given excitation level. The system is a simple RLC resonator where C is an active capacitor whose value is related to the current in the circuit. This variation is energetically equivalent to a variation of the potential energy and the circuit acts as a pendulum in the gravitational field. The excitation voltage, synchronously switched at the current frequency, enables electrical supply and keeping the oscillation of the system. The excitation frequency has been set to high harmonic of the fundamental oscillation so that anisochronicity can keep constant the amplitude of the circuit voltage and current. The behavior of the circuit is unusual: different stable amplitudes have been measured depending on initial conditions and excitation frequency, for the same amplitude of the excitation. The excitation frequency is naturally divided by the circuit and the ratio is kept constant without external disturbance. Moreover, a variation of the dumping does not affect significantly the amplitudes as long as the oscillation is observed. And lastly, electrical pulses can change, as in quantum systems, the operating amplitude which is auto-stable without disturbances. Many applications of this circuit can be imagined in microelectronics (including computing), energy conversion and time and frequency domains.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
