An explicit solution of the equation for the classical harmonic oscillator with smooth switching of the frequency has been found . A detailed analysis of a quantum harmonic oscillator with such frequency has been done on the base of the method of linear invariants. It has been shown that such oscillator possesses cofluctuant states, different from widely studied Glauber’s coherent and ”ideal” s...

sinusoidal. Relaxation oscillator generates the triangular, saw tooth and other non-sinusoidal waveforms. Sinusoidal oscillators consist of amplifiers. 2409Sinusoidal and Non-sinusoidal Oscillators 2409 (e) Heterodyne or beat-frequency oscillator (BFO). The active devices (bipolars, FETs or unijunction. To generate the AC voltage, the oscillator circuit will receive the energy from a DC The Osc...

We argue that the reliability of a limit-cycle oscillator generally improves when it is driven by a random impulsive input. By reducing the dynamics of the oscillator to a stochastic phase equation, we argue generally that the orbit of a limit-cycle oscillator is statistically stabilized against phase disturbances when it is driven by a weak impulsive input regardless of its details, leading to...

A method is proposed for detecting from univariate data the presence of synchronization of a self-sustained oscillator by external driving with varying frequency. The method is based on the analysis of difference between the oscillator instantaneous phases calculated using continuous wavelet transform at time moments shifted by a certain constant value relative to each other. We apply our metho...

A superconducting single-electron transistor (SSET) coupled to an anharmonic oscillator, e.g., a Josephson junction-L-C circuit, can drive the latter to a nonequilibrium photon-number distribution. By biasing the SSET at the Josephson quasiparticle cycle, cooling of the oscillator as well as a laserlike enhancement of the photon number can be achieved. Here, we show that the cutoff in the quasi...

In this survey a novel system, called the oscillator system, consisting of order of p functions (signals) on the finite field Fp, is described and studied. The new functions are proved to satisfy good auto-correlation, cross-correlation and low peak-to-average power ratio properties. Moreover, the oscillator system is closed under the operation of discrete Fourier transform. Applications of the...

We generalize the previously considered cases of a harmonic oscillator subject to a random force (Brownian motion), or having random frequency, or random damping. We consider here a random mass which corresponds to an oscillator where the particles of the surrounding medium adhere to the oscillator for some (random) time after collision, thereby changing the oscillator mass. Such a model is app...

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