We present the simplest discrete model to date that leads to synchronization of stochastic phase-coupled oscillators. In the mean field limit, the model exhibits a Hopf bifurcation and global oscillatory behavior as coupling crosses a critical value. When coupling between units is strictly local, the model undergoes a continuous phase transition which we characterize numerically using finite-si...

The Parametron was first proposed as a logic-processing system almost 50 years ago. In this approach the two stable phases of an excited harmonic oscillator provide the basis for logic operations. Computer architectures based on LC oscillators were developed for this approach, but high power consumption and difficulties with integration meant that the Parametron was rendered obsolete by the tra...

We study the steady state behaviour of a confined quantum Brownian particle subjected to a space-dependent, rapidly oscillating time-periodic force. To leading order in the period of driving, the result of the oscillating force is an effective static potential which has a quantum dissipative contribution, VQD, which adds on to the classical result. This is shown using a coherent state represent...

The stochastic resonance (SR) response is studied numerically in a system of bistable oscillators. These are subjected to a dynamic white noise as well to a static random dilution disorder. We impose a local subthreshold periodic excitation. We show that such a system displays optimal global SR response if a small-world network is established within the system. We propose polymer stabilized liq...

Abstruct-A new LC voltagecontrolled oscillator circuit topology is proposed, in which the flicker noise generated by the tail transistor is noticeably reduced by utilizing the phenomenon of flicker noise intrinsic reduction due to switched biasing. A macro model of MOSFET under switched biasing is used to prove the idea. Circuit simulations are done on two oscillators with the same tail current...

Reference clock jitter sets the ultimate limit on the bit error ratio of a serial data system. The traditional techniques for quantifying jitter on clock signals don’t help system designers estimate the clock’s contribution to the total jitter defined at a bit error ratio. New techniques are being introduced to model how transmitters and receivers use reference clocks so that the system RJ and ...

in this study, he’s variational approach (va) is used to solve the non-naturalvibrations and oscillations. the method works very well for the whole range of initial amplitudesand does not demand small perturbation. it is also sufficiently accurate to both linear and nonlinearphysics and engineering problems. we consider some examples to illustrate the effectiveness andconvenience of the method....

We study spatio-temporal pattern formation in a ring of N oscillators with inhibitory unidirectional pulselike interactions. The attractors of the dynamics are limit cycles where each oscillator fires once and only once. Since some of these limit cycles lead to the same pattern, we introduce the concept of pattern degeneracy to take it into account. Moreover, we give a qualitative estimation of...