We investigate the synchronization of oscillators based on anharmonic nanoelectromechanical resonators. Our experimental implementation allows unprecedented observation and control of parameters governing the dynamics of synchronization. We find close quantitative agreement between experimental data and theory describing reactively coupled Duffing resonators with fully saturated feedback gain. ...

In oscillating mechanical systems, nonlinearity is responsible for the departure from proportionality between the forces that sustain their motion and the resulting vibration amplitude. Such effect may have both beneficial and harmful effects in a broad class of technological applications, ranging from microelectromechanical devices to edifice structures. The dependence of the oscillation frequ...

BACKGROUND Long-range oscillations of the mammalian cell proliferation rate are commonly observed both in vivo and in vitro. Such complicated dynamics are generally the result of a combination of stochastic events and deterministic regulation. Assessing the role, if any, of chaotic regulation is difficult. However, unmasking chaotic dynamics is essential for analysis of cellular processes relat...

Due to great noise interference and strong signal attenuation in low voltage power line, two Duffing oscillator methods is proposed to detect QPSK carrier signal. At the same time, after analyzing the law of system solution of Duffing Oscillator, the algorithm of difference distribution of system solution is proposed to identify phase transition, which can greatly decrease calculation. The expe...

In this paper, nonlinear dynamics of Duffing system with fractional order damping is investigated. The four order RungeKutta method and ten order CFE-Euler methods are introduced to simulate the fractional order Duffing equations. The effect of taking fractional order on the system dynamics is investigated using phase diagrams, bifurcation diagrams and Poincare map. The bifurcation diagram is a...

The damped parametric driven nonlinear pendulum equation/oscillator (NPE), also known as the disturbed NPE, is examined, along with some associated oscillators for arbitrary angles vertical pivot. For analyzing and solving current equation, we reduce this equation to Duffing (DDE) variable coefficients. After that, DDE coefficients divided into two cases. In first case, analytical approximation...

In this paper introducing novel mathematical approach to reduce the computational effort of non-linear problems and the technique called as novel technique. In this paper solve the Duffing and Duffing-Holmes equations by using novel technique is described clearly. This method consists of decomposing a given differential equation in to linear, non-linear and remainder terms. The method has been ...