1 Model equations 2 1.1 A simple model of the two-switch negative feedback oscillator (Design I) . . . . . . . . . . . . . . . . . 2 1.1.1 Two-dimensional simple models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 A simple model of the amplified negative feedback oscillator (Design II) . . . . . . . . . . . . . . . . . 7 1.3 A simple model of the three-switch ri...

In this paper we study how to avoid escapes in open dynamical systems in the presence of dissipation and forcing, as it occurs in realistic physical situations. We use as a prototype model the Helmholtz oscillator, which is the simplest nonlinear oscillator with escapes. For some parameter values, this oscillator presents a critical value of the forcing for which all particles escape from its s...

The paper investigates the special clustering phenomena that one can observe in systems of nonlinear oscillators that are coupled via a shared flow of primary resources (or a common power supply). This type of coupling, which appears to be quite frequent in nature, implies that one can no longer separate the inherent dynamics of the individual oscillator from the properties of the coupling netw...

Oscillators play a decisive role for electronic equipment in many fields – like communication, navigation or data processing. Especially oscillators are key building blocks in integrated transceivers for wired and wireless communication systems. In this context the study of fully integrated differential VCOs has received attention. In this paper we present an analytic analysis of the steady sta...

Band-integrated oscillator strengths of the CO A1Π− X1Σ+ transition for 0 ≤ v′ ≤ 23 and v′′ = 0− 1 have been calculated from an ab initio dipole transition moment given by highly correlated electronic wave functions. The calculations were carefully optimized to represent the dipole transition moment in the large range of internuclear distances necessary to describe correctly high vibrational le...

The influence of the spatial confinement on the electronic and vibrational contributions to longitudinal electric-dipole properties of model linear molecules including HCN, HCCH and CO2 is discussed. The effect of confinement is represented by two-dimensional harmonic oscillator potential of cylindrical symmetry, which mimics the key features of various types of trapping environments like, for ...

It is well known that a common notion of time in distributed systems can be used to ensure additional properties such as real-time behavior or the identification of the order of events. As large-scale hardware testbeds for such systems are neither efficient nor easy to manage, discrete event simulations (DES) can be used to model such networks. However, to ensure an exact behavior of such simul...

In this paper we present a 2μW temperature compensated on-chip digitally controlled oscillator and a 70nW uncompensated, ultra low power oscillator. The temperature compensated oscillator has a temperature stability of 8ppm/C while uncompensated oscillator has a stability of 4%/C. The uncompensated oscillator is calibrated using stable oscillator often to achieve high effective temperature stab...

Article history: Received: 25.12.2014. Received in revised form: 10.3.2015. Accepted: 13.3.2015. This paper presents a current-mode multiphase sinusoidal oscillator (MSO) employing currentcontrolled current differencing units (CCDUs). The proposed oscillator consists of only one CCDU and one grounded capacitor for each phase, and it can generate arbitrary 2n-phase current-output signals (n≥2) w...

We present a continuous-wave dual-crystal optical parametric oscillator that generates signal waves of about 1.4μmwavelength with a tunable difference frequency 1ν between 0.64 and 5.3 THz. A model of the parametric gain in such a system indicates that the lowest reachable value for 1ν depends on the refractive index dispersion of the nonlinear material used. As a proof of principle, we demonst...