Systems of coupled oscillators may exhibit spontaneous dynamical formation of attractingsynchronized clusters with broken symmetry; this can be helpful in modelling various physicalprocesses. Analytical computation of the stability of synchronized cluster states is usually impos-sible for arbitrary nonlinear oscillators. In this paper we examine a particular class of strongly<lb...

The effect of device noise on oscillator phase noise in a close vicinity of average oscillator frequency is analyzed. We show that for 1/f noise, the line shape of a free-running oscillator changes from power to approximately Gaussian function very close to the oscillator frequency. The Gaussian regime occurs when the relationship between device noise and oscillator spectrum is strongly nonline...

the potential function of lippincott and schroeder for linear hydrogen bond has been re-examined and extended to nonlinear hydrogen bond. the parameters originally introduced to the potential function by lippincott and schroeder have been determined from the structural parameters such as 0.. .odistance 0-h bond distance, h.. .o distance and hoo angle. thevalidity of harmonic oscillator approxim...

We investigate analytically and numerically nonlinear vortex spin torque oscillator dynamics in a circular magnetic nanodot induced by a spin-polarized current perpendicular to the dot plane. We use a generalized nonlinear Thiele equation including spin-torque term by Slonczewski for describing the nanosize vortex core transient and steady orbit motions and analyze nonlinear contributions to al...

Nonlinear energy sink (NES) refers to a typical passive vibration device connected linear or weakly nonlinear structures for absorption and mitigation. This study investigates the dynamics of 1-dof 2-dof NES with damping combined stiffness oscillator. For system NES, truncation failure frequency are revealed through bifurcation analysis using complex variable averaging method. The detuning inte...

Because the choice of oscillator resonant circuit parameters depends mostly on experience, we propose nonlinear differential equations to describe an oscillator based on an equivalent circuit of the oscillator and then to describe the internal electrical noise of the oscillator by introducing a stochastic term that establishes a nonlinear stochastic differential equation to analyse the oscillat...

The relationship between the topology and collective function of a nonlinear oscillator network was investigated using nonlinear electrochemical oscillators. The constitutive experiments showed that the physiological robustness in the living system is due to their topological redundancy and asymmetry in the nonlinear network. key words: nonlinear oscillator, complex network, physiological funct...

This paper recommends a simple and excusive approach to strongly nonlinear oscillator. Its frequency property can be immediately obtained by the simplest calculation. The results show that method leads an approximate solution with relatively high accuracy. Considering process, this provides highly efficient tool for fast determination of amplitude-frequency relationship large amplitude vibratio...