Interaction between an electronic and a biological circuit has been investigated for a pair of electrically connected nonlinear oscillators, with a spontaneously oscillating olivary neuron as the single-cell biological element. By varying the coupling strength between the oscillators, we observe a range of behaviors predicted by model calculations, including a reversible low-energy dissipation ...

In this paper, we investigate the effects of degree correlation on the synchronization of networks of coupled identical nonlinear oscillators. Firstly, it is shown both numerically and theoretically that synchronizability is enhanced when the network topology exhibits negative degree correlation. Then, the synchronization dynamics is studied of a network of identical Rössler oscillators under v...

Synchronization phenomena is one of the fundamental phenomena in nature and it is observed over the various fields. Studies on synchronization phenomena of coupled oscillators are extensively carried out in various fields, physics [1], biology [2], engineering and so on. It is important to investigate the synchronization phenomena of coupled oscillators for the future engineering application. T...

Abstract Using three coupled harmonic oscillators, we present an amplitude-amplification method for factorization of an integer. We generalize the method in [arXiv:1007.4338] by employing nonorthogonal measurements on the harmonic oscillator. This method can increase the probability of obtaining the factors by repeatedly using the nonlinear interactions between the oscillators and non-orthogona...

We investigate Noether and partial Noether operators of point type corresponding to a Lagrangian and a partial Lagrangian for a system of two linearly coupled nonlinear Duffing oscillators. Then, the first integrals with respect to Noether and partial Noether operators of point type are obtained explicitly by utilizing Noether and partial Noether theorems for the system under consideration. Mor...

– When a nonlinear oscillator is driven externally, it may become transparent, i.e., the output response appears without any dispersion or distortion. Such counter-intuitive feature, in fact, is a unique zero-dispersion nonlinear resonance (ZDNR). Herein, it is examined on the base of a generic input-output analysis. The conditions for ZDNR have been clarified and a power law relation has been ...

In undergraduate classrooms, while teaching chaos and fractals, it is taught as if there no relation between these two. By using some non linear oscillators we demonstrate that a connection fractals. plotting the phase space diagrams of four nonlinear box counting method finding fractal dimension established chaotic nature oscillators. The awareness all systems are good fractals will add more i...