David Terman Department of Mathematics The Ohio State University Columbus, Ohio 43210, USA [email protected] An novel class of locally excitatory, globally inhibitory oscillator networks is proposed. The model of each oscillator corresponds to a standard relaxation oscillator with two time scales. The network exhibits a mechanism of selective gating, whereby an oscillator jumping up to...

The dynamics of wave packets in a relativistic Dirac oscillator is compared to that of the Jaynes-Cummings model. The strong spin-orbit coupling of the Dirac oscillator produces the entanglement of the spin with the orbital motion similar to what is observed in the model of quantum optics. The collapses and revivals of the spin which result extend to a relativistic theory our previous findings ...

in general, productivity is gaining maximum profit from manpower, equipments, time, place, and son on in order to enhance social welfare. without doubt, promoting productivity at individual, group, and organizational levels depends on different factors. this research is about to find a model to recognize influencing factors on workers’ productivity in the mst group, and to show relationships am...

In this study, we propose a novel discrete-time coupled model to generate oscillatory responses via periodic points with a high periodic order. Our coupled system comprises one-dimensional oscillators based on the Rulkov map and a single globally coupled oscillator. Because the waveform of a one-dimensional oscillator has sharply defined peaks, the coupled system can be applied to dynamic image...

Sleep is essential for the maintenance of human life, yet many features of sleep are poorly understood and mathematical models are an important tool for probing proposed biological mechanisms. The most well-known mathematical model of sleep regulation, the two-process model, models the sleep-wake cycle by two oscillators: a circadian oscillator and a homeostatic oscillator. An alternative, more...

A new oscillator model with different form of the nonminimal substitution within the framework of the DuffinKemmer-Petiau equation is offered. The model possesses exact solutions and a discrete spectrum of high degeneracy. The distinctive property of the proposed model is the lack of the spin-orbit interaction, being typical for other relativistic models with the non-minimal substitution, and t...

In this paper we present a model of an oscillator for nano-machines. We take a bio-inspired approach to develop the oscillator. Inspired by the oscillatory behavior found in calcium signaling, we develop the basis of the signal dynamics of the molecular oscillator. The molecular oscillator uses three different excitatory molecules: type A, B and C. These molecules are triggered and released in ...

The problem of a quantum oscillator coupled to an independent-oscillator model of a heat bath is discussed. The transformation to normal coordinates is explicitly constructed using the method of Ullersma. With this transformation an alternative derivation of an exact formula for the oscillator free energy is constructed. The various contributions to the oscillator energy are calculated, with th...