It is known that the hydrogenlike atom can be studied as a Morse oscillator, then here we show that these fact leads to an interesting method to obtain the matrix elements for the Coulomb potential. c © Electronic Journal of Theoretical Physics. All rights reserved.

Increasing performance of quartz crystal oscillators as well as predictability requirements when developing the devices need accurate analysis of noise sources. Our work is devoted to understand how an oscillator reacts to additive noise of an element in the electronic circuit. Up to now, oscillator designers often refer to the well-known Leeson’s model to explain the shape of phase noise spect...

Phase locked loop (PLL) is one of the most critical devices in modern electronic systems. PLLs are widely used as clock generator or frequency synthesis in communication systems, computers, radio and other electronic applications. Phase noise represents the phase variations of a PLL output signal and is the most important characteristic of PLLs because it reflects the stability of PLL systems. ...

In this paper, we report, for the first time, that by modulating pump beam to suppress ASE effect we realized ultra-low repetition rate output in an all fiber based Er:Yb codoped master oscillator power amplifiers (MOPA) system. Combined with pulse shaping technology, pulses with up to 205 µJ pulse energy and 200 ns pulse duration were obtained at Hz level.

Although the beam pointing stability of optical parametric oscillators and amplifiers is important for various applications few results on this parameter have been published. Here, we investigate the beam pointing stability of an injection-seeded, nanosecond optical parametric oscillator, compare it to its pump laser, and measure correlations between them. Although correlation between both quan...

We investigate localized periodic solutions (breathers) in a lattice of parametrically driven, nonlinear dissipative oscillators. These breathers are demonstrated to be exponentially localized, with two characteristic localization lengths. The crossover between the two lengths is shown to be related to the transition in the phase of the lattice oscillations.

Barany et al Physica D propose a method for determ ining the symmetries of attractors of equivariant systems by averaging cer tain classes of equivariant maps We use an idea in Barany et al to re cast de nitions of symmetry detectives assuming that we only have access to equivariant observations from the system Detecting from observations allows one to perform averaging in spaces that may have ...

At present, active search for possible chaos applications goes. However to apply dynamical chaos, it is necessary to have signal sources generating chaotic signals. As is known, chaotic oscillators play the role of the sources. Now, there is a large variety of chaotic oscillators which differ from each other by both the structure and elements, and which have various characteristics. On the othe...

In this paper we study the synchronization of diffusively coupled Hindmarsh-Rose (HR) electronic oscillators. These electronic oscillators are analog electrical circuits which integrate the differential equations of the HR model. An experimental setup consisting of four chaotic HR oscillators, is used to evaluate the existence and stability of partially or fully synchronized states.

mong the various bifurcation phenomena that may be observed in dynamical systems, gluing bifurcation is an important class of homoclinic bifurcation. The Z2 (or the so called reflection) symmetry plays a crucial role in occurrence of such bifurcation. At the bifurcation point two homoclinic orbits, which are mirror image of each other, appear as glued together at the saddle and thus forming in ...