The paper proposes a new mathematical FitzHugh—Nagumo model with memory, which describes the propagation of nerve impulse in membrane. consists an integro-differential equation initial conditions (the Cauchy problem). difference kernel (memory function) was chosen as power function so that it can be rewritten terms fractional derivative. For problem, explicit finite-difference scheme is constru...

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 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...

In this study, we assume that the brain uses a general-purpose pattern generator to transform static commands into basic movement segments. We hypothesize that this pattern generator includes an oscillator whose complete cycle generates a single movement segment. In order to demonstrate this hypothesis, we construct an oscillator-based model of movement generation. The model includes an oscilla...

Abstract. We consider a spin-boson model in which a spin 1 system is coupled to an oscillator. A unitary transformation is applied which allows a separation of terms responsible for the Bloch-Siegert shift, and terms responsible for the level splittings at anticrossings associated with Bloch-Siegert resonances. When the oscillator is highly excited, the system can maintain resonance for sequent...

In the present study, several successive approximate solutions of nonlinear oscillator are derived by using efficient frequency formula. A systematical analysis formulation helps to establish a general periodic solution. Each approximation represents, individually, solution oscillator. For optimal design and accurate prediction structural behavior, new optimizer is demonstrated for solutions. T...

We investigate the distribution of oscillator strengths for the recombination of excitons in a two dimensional sample, trapped in local minima of the confinement potential: the results are derived from a statistical topographic model of the potential. The predicted distribution of oscillator strengths is very different from the Porter-Thomas distribution which usually characterises disordered s...

We investigated the dynamics of quadrupedal locomotion by constructing a simple quadruped model that consists of a body mechanical model and an oscillator network model. The quadruped model has front and rear bodies connected by a waist joint with a torsional spring and damper system and four limbs controlled by command signals from the oscillator network model. The simulation results reveal th...

Using tightly focused femtosecond laser pulses of just 5 nJ, we produce optical breakdown and structural change in bulk transparent materials and demonstrate micromachining of transparent materials by use of unamplified lasers. We present measurements of the threshold for structural change in Corning 0211 glass as well as a study of the morphology of the structures produced by single and multip...