We perform the sewing of two (dual) Ramond reggeon vertices and derive an algorithm by means of which the so obtained four-Ramond reggeon vertex may be explicitly computed at arbitrary oscillator (mass) level. A closed form of the four-vertex is then deduced on the basis of a comparison to all terms obtained by sewing that contain only level zero and one oscillators. Results are presented for b...

A novel time-domain method for finding the periodic steady-state of a free-running electrical oscillator is introduced. The method is based on the extrapolation technique MPE. This method is applied to the well-known Colpitt’s Oscillator, for which it turns out to have super-linear convergence.

Mass-selected beams of endohedral fullerene Ce@C82 ions, of atomic Ce q+ ions (q=2,3,4), and of empty fullerene-cage C82 ions were employed to study photoionization of fullerene-encapsulated and free cerium atoms. The Ce 4d inner-shell contributions to single and double ionization of the endohedral Ce@C82 fullerene have been extracted from the data and compared with expectations based on theory...

Resonance exhibits a dynamo mechanism of the Sun with an exotic behavior of a controlled thermonuclear fusion reaction in the presence of a magnetic mirror. A charged oscillator takes place of a periodic driving force so that the laser radiation is so intense with the growing of a magnetic field towards the resonant level. Following the representation of a new era of a magnetic field, it has ma...

An analysis of phase noise in differential crosscoupled inductance–capacitance (LC) oscillators is presented. The effect of tail current and tank power dissipation on the voltage amplitude is shown. Various noise sources in the complementary cross-coupled pair are identified, and their effect on phase noise is analyzed. The predictions are in good agreement with measurements over a large range ...

The “classical” indium/thiocyanate oscillator is studied in some more detail at the HMDE. Several qualitative dependences are investigated. Multiperiodic “mixed-mode” oscillations and aperiodic oscillations are observed near the system’s transition from steady state to oscillatory behatiour. These oscillations are very reminiscent of those observed in other (electro)chemical oscillators, and se...

A quasi-static process is realized in a purely quantum-mechanical model which is described by oscillator (or particle) systems having relative-phase interactions. Time development of a mixture of two oscillator (or particle) systems which have different temperatures is investigated in the quantum mechanical framework. We study how they go to a thermal equilibrium. Time dependence of the tempera...

This paper describes an exploration into what can be done with cellular automata to reinvent and re-engineer electronics in a new kind of physics implemented as a system of cellular automaton rules. An engineering approach is used, working forward to achieve a practical goal while introducing tools. The practical goal is to start from an electron level and obtain a working resistor|capacitor (R...

Synchronization of many coupled oscillators is widely found in nature and has the potential to revolutionize timing technologies. Here we demonstrate synchronization in arrays of silicon nitride micromechanical oscillators coupled purely through optical radiation field. We show that the phase noise of the synchronized oscillators can be improved by almost 10 dB below the phase noise limit for e...

We study networks of relaxation oscillators coupled with time delay synapses. A pair of oscillators is analyzed and shown to attain loosely synchronous solutions for a wide range of initial conditions and time delays. Simulations of one and two dimensional oscillator networks indicate that locally coupled oscillators are also loosely synchronous. Desynchronous solutions are possible when system...