Current-mode (CM) and voltage-mode (VM) multiphase sinusoidal oscillator (MSO) structures using current backward transconductance amplifier (CBTA) are proposed. The proposed oscillators can generate n current or voltage signals (n being even or odd) equally spaced in phase. n+1 CBTAs, n grounded capacitor and a grounded resistor are used for nth-state oscillator. The oscillation frequency can b...

We present a simple pulse-coupled network (PCN) of spiking oscillators (SOCs). The SOC has a periodic base and can generate chaotic spike-trains in which various unstable periodic spike-trains (UPSTs) are embedded. The PCN exhibits multi-phase synchronization with a spike-train input if the spikes pattern of the input is closed to one of the various UPSTs. In the multiphase synchronization, eac...

This paper provides contributions to the study of phase synchronization transient two identical linear LC oscillators, coupled through a resistor. The main contribution is obtaining an exact equation that represents, as function time, evolution angle between from initial condition until synchronization. It demonstrated system has equilibrium points, one unstable when equal π, and other stable i...

In this study, we investigate the circuit model that twenty hard oscillators with two LC resonators are coupled by inductors. We observe two kinds of waves by the change of initial states. First waves are changing phase states between two adjacent oscillators from in-phase to anti-phase or from antiphase to in-phase and continuously exist. We call this wave as “phase inversion waves”. Second wa...

Benzothiazole-pyrrole-based azo dyes greatly enhance their thermal isomerisation rate by up to 160 times when they are under the influence of the nematic mean field yielding the LC-based photochromic oscillators with the highest oscillation frequencies reported so far (2.6 kHz at 298 K).

A simple electronic system exhibiting hyperchaotic behaviour is described. The system includes two nonlinearly coupled 2nd order unstable oscillators, each composed of an LC resonance loop and an amplifier. The system is investigated by means of numerical integration of appropriate differential equations, PSPICE simulations and hardware experiments. The Lyapunov exponents are presented to confi...

In this work we review the processes of phase noise and jitter in electronic oscillators and the relationship between the two. Frequency and time domain simulation techniques and results are presented through the study of performance enhancement for a CMOS LC oscillator. The studied enhancements significantly reduce flicker noise upconversion, while the results demonstrate good agreement betwee...

We present an approximated and compact derivation of the mutual displacement of Floquet eigenvectors in a class of LC tank oscillators with time-varying bias. The paper refers to parallel tank oscillators in which the energy restoring can be modeled by current pulses controlled by the oscillation voltage. The goal is to show, for the proposed class, the possibility to guide the design of oscill...

This paper discusses an analytical description of low frequency upconversion in LC oscillators. We show that upconversion into phase noise can be substantially reduced by modification of circuit topology. The theoretical discussion is supported by measurements of a 100 MHz BJT Colpitts model oscillator.