A Memristive Chaotic Oscillator With Increasing Amplitude and Frequency

Towards Threshold Frequency in Chaotic Colpitts oscillator

A novel version of chaotic Colpitts oscillator is described. Instead of a linear loss resistor, it includes an extra inductor and a diode in the collector circuit of the transistor. The modified circuit in comparison with the common Colpitts oscillator may generate chaotic oscillations at the fundamental frequency f∗ noticeably closer to the threshold frequency fT of the employed bipolar juncti...

Optimal Synchronization of a Memristive Chaotic Circuit

A new chaotic oscillator with free control.

A novel chaotic system is explored in which all terms are quadratic except for a linear function. The slope of the linear function rescales the amplitude and frequency of the variables linearly while its zero intercept allows offset boosting for one of the variables. Therefore, a free-controlled chaotic oscillation can be obtained with any desired amplitude, frequency, and offset by an easy mod...

Application of He’s amplitude frequency formulation for a nonlinear oscillator with fractional potential

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.

Chaotic dynamics of a frequency-modulated microwave oscillator with time-delayed feedback.

We present a chaotic frequency-modulated microwave source that is governed by a simple, first-order nonlinear delay differential equation. When a sinusoidal nonlinearity is incorporated, the dynamical behaviors range from fixed-point to periodic to chaotic, depending on the feedback strength. When the sinusoidal nonlinearity is replaced by a binary nonlinearity, the system exhibits a complex pe...