in this work, time domain analysis is used to solve adler’s equation in order to obtain the required time, for an oscillator under external injection, reaching the steady-state condition. mathematical approach has been applied to fully describe the transient of frequency acquisition in injection-locked lc and ring oscillators considering their time-varying nature. then, the analysis is verified...

The goal of this research is to improve the linearity of integrated oscillator based on switched-capacitor band-pass filter with a low Q-factor in order to achieve a feasible integration. With the minimum addition control digital control circuit, high linearity can be achieved by suppressing 3rd harmonic which requires high Q of filter in traditional way. Description. The aim of this research i...

In this work a classical linear harmonic oscillator, evolving during a small time interval (so that simple non-linear, second order Taylor approximation of the dynamics is satisfied) and restarting (by a mechanism) in a strictly chosen series of the time moments, is considered. It is shown that given linear oscillator behaves dynamically analogously to discrete logistic equation, which, as an e...

The problem of a quantum oscillator coupled to an independent-oscillator model of a heat bath is discussed. The transformation to normal coordinates is explicitly constructed using the method of Ullersma. With this transformation an alternative derivation of an exact formula for the oscillator free energy is constructed. The various contributions to the oscillator energy are calculated, with th...

Millimeter-wave FEL-oscillator is one of a possible source of RF power for accelerating structures of future linear colliders with high energy gain. JINR-IAP collaboration develops a high-efficiency single-mode FEL-oscillator with a Bragg resonator and reversed guide field. Output power of 48 MW at the frequency of 30.6 GHz with spectrum width 0.25% was registered in recent experiments using in...

The fact that there exists a core sinusoidal oscillator at the heart of Saito’s double-screw hysteresis chaotic oscillator is demonstrated. By applying Bruton’s transformation to the active linear part of the circuit, which is shown to be a classical LC-R negative resistor sinusoidal oscillator, an inductorless realization based on a frequency-dependent negative resistor (FDNR) is obtained. The...

The current paper presents the first treatment to obtain solution of a complex Helmholtz–Duffing oscillator. This model has described elevation surface waves in fluid mechanics. non-perturbative approach is used convert nonlinear oscillator linear derive opened path for new way study more waves.