in this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the maclaurin series of the exact solution. nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. these equations equip a significant mathematical model for dynamical systems. the accuracy o...

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...

We propose an analog current-mode subthreshold CMOS circuit implementing a piecewise linear neuromorphic oscillator. Our circuit was derived from a piecewise linear oscillator model proposed by Matsuoka, well known as a building block for constructing a robot locomotion controller. We modified Matsuoka’s oscillator to be suitable for analog current-mode integrated circuit implementation, and de...

of any wireless communications system. Due to their low cost, design simplicity and ease in practical implementation, for example, MOSFET-based oscillators are widely used in modern wireless handset applications. This three-part tutorial highlights the basics of the oscillator circuit design, setting the relationships between the start-up and steadystate operating modes and the device equivalen...

In the present paper, a new 2-D Van der Polstructural oscillator model is introduced for the vortex induced vibrations of circular cylinders.The main purpose of this task is to control the recently introduced model by means of modern control definitions in state space. In order to control the system, the whole model is linearized about its equilibrium point by deriving state-space matrices. The...

Free vibrations of a harmonic oscillator in the form mathematical pendulum linear and nonlinear formulations are considered. Their comparative analysis is carried out as conservative system with one degree freedom. To solve differential equation, finite difference method Euler’s scheme used. Specific examples given, limits deviations angles, at which solutions problems practically coincide, det...