In this paper, He’s amplitude frequency formulation is used to obtain a periodic solution for a nonlinear oscillator with fractional potential. By calculation and computer simulations, compared with the exact solution shows that the result obtained is of high accuracy. Keywords—He’s amplitude frequency formulation; Periodic solution; Nonlinear oscillator; Fractional potential.

All Digital Phase locked loops (ADPLL) plays a major role in System on Chips (SoC). Many EDA tools are used to design such complicated ADPLLs. It operates on two modes such as frequency acquisition mode and phase acquisition mode. Frequency acquisition mode is faster compared to Phase acquisition, hence frequency synthesis is performed. The CMOS technology is used to design such a complex desig...

Sensors based on nanoelectromechanical systems vibrating at high and ultrahigh frequencies are capable of levels of performance that surpass those of larger sensors. Nanoelectromechanical devices have achieved unprecedented sensitivity in the detection of displacement, mass, force and charge. To date, these milestones have been achieved with passive devices that require external periodic or imp...

Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...

Sustained resonance in a linear oscillator is achievable with a drive whose constant frequency matches the resonant frequency of the oscillator. But in oscillators with nonlinear restoring forces such as the pendulum, Duffing and Duffing-Van der Pol oscillator, the resonant frequency changes as the amplitude changes, so a constant frequency drive results in a beat oscillation instead of sustain...

A PLDRO (Phase Locked Dielectric Resonator Oscillator) with the output frequency of a fractional multiple of reference is proposed and implemented. The key element in the proposed PLDRO is an image rejection mixer placed between a VCDRO (Voltage Controlled Dielectric Resonator Oscillator) and SPD (Sampling Phase Detector). The image rejection mixer shifts the coupled signal from the VCDRO befor...

• Calibration of internal RC oscillator via UART • Synchronization/ calibration to within +/-2% of target frequency with a single synch-byte. • Alternate run-time synchronization/calibration to within +/-1% of target frequency with double synch-byte. • Support for all AVRs with tunable RC oscillator • 50% duty cycle required for correct synchronization/ calibration. • Enables robust UART commun...

We study an underdamped oscillator with random frequency jumps. We describe the oscillator spectrum in terms of coupled susceptibilities for different-frequency states. Depending on the parameters, the spectrum has a fine structure or displays a single asymmetric peak. For nanomechanical resonators with a fluctuating number of attached molecules, it is found in a simple analytical form. The res...

Generally, AT-cut quartz crystals have a limited scope of use when it comes to high-precision measurement of very small impedance changes due to their nonlinear frequency-temperature characteristics in the range between 0 °C and 50 °C. The new method improving quartz oscillator frequency-temperature characteristic compensation is switching between two impedance loads. By modifying the oscillato...

In this paper, an intuitive analysis of a phase noise reduction technique is done, and then a modified structure is proposed to achieve higher phase noise reduction than the original one. This method reduces the impact of noise sources on the phase noise by decreasing closed-loop gain in zero-crossings points and moving this high closed-loop gain to the non-zero-crossings points. This reduction...