This work deals with the design of a compact electronically tunable sinusoidal quadrature oscillator. The proposed quadrature oscillator is designed with a single voltage differencing gain amplifier (VDGA) and all the three grounded passive elements. Its oscillation condition and oscillation frequency can be tuned independently by means of the VDGA transconductance gains. The proposed oscillato...

We analyze the co-normally induced quasiregular representation for two families of Lie groups: the 2d-oscillator groups N!SO(2d) where N is the free two-step nilpotent group on 2d generators, and the dilated 2d-oscillator groups N ! (SO(2d)× R+). We construct irreducible decompositions in both cases with explicit spectrum and intertwining operators, and in both cases we prove a Caldéron-type ad...

A theoretical spectroscopic analysis of a microwave driven superconducting charge qubit Cooper-pair box coupled to an RLC oscillator model is performed. By treating the oscillator as a probe through the backreaction effect of the qubit on the oscillator circuit, we extract frequency splitting features analogous to the AutlerTownes effect from quantum optics, thereby extending the analogies betw...

We study a modified Bullard dynamo and show that this system is equivalent to a nonlinear oscillator subject to a multiplicative noise. The stability analysis of this oscillator is performed. Two bifurcations are identified, first towards an “intermittent”state where the absorbing (non-dynamo) state is no more stable but the most probable value of the amplitude of the oscillator is still zero a...

A generalization method is used to transform a floating resistor oscillator circuit to a family of sixteen grounded capacitor oscillators using the current conveyor (CCII) or the inverting current conveyor (ICCII) or combination of both. Two of the oscillator circuits have a floating property. A new family of sixteen oscillator circuits is generated from the known circuit using the adjoint circ...

In this article, we consider the nonlinear Duffing-van der Pol-type oscillator system by means of the first integral method. This system has physical relevance as a model in certain flow-induced structural vibration problems, which includes the van der Pol oscillator and the damped Duffing oscillator etc as particular cases. Firstly, we apply the Division Theorem for two variables in the comple...

In this study a Markov operator is introduced that represents the density evolution of an impulse-driven stochastic biological oscillator. The operator's stochastic kernel is constructed using the asymptotic expansion of stochastic processes instead of solving the Fokker-Planck equation. The Markov operator is shown to successfully approximate the density evolution of the biological oscillator ...

Recent commercial developments in the optical fiber industry have raised the possibility of supplying the local oscillator signal for the MMA by generating two optical signals differing in frequency by the required local oscillator frequency. These two optical signals may then be transmitted over a single optical fiber to each antenna. Within the receiver dewar, the two optical signals are mixe...

We present a model for a synthetic gene oscillator and consider the coupling of the oscillator to a periodic process that is intrinsic to the cell. We investigate the synchronization properties of the coupled system, and show how the oscillator can be constructed to yield a significant amplification of cellular oscillations. We reduce the driven oscillator equations to a normal form, and analyt...

• Deduced the mechanics of hearing at low sound pressure levels from measurements of basilar membrane motion. The mechanical properties of individual sections of the cochlea have been determined by examining their collective response to tones of different frequency. The conclusion is that each section acts like a harmonic oscillator with negative damping. The oscillator is controlled by negativ...