Relaxation oscillator

About: Relaxation oscillator is a research topic. Over the lifetime, 1952 publications have been published within this topic receiving 22326 citations.

Ferroelectric Oscillators and Their Coupled Networks

Abstract: We propose ferroelectric field-effect transistor (FEFET)-based realization of non-linear, relaxation oscillators and their coupled networks. To control oscillations, we utilize a unique physics of FEFETs: the dynamic voltage controllabilityof the location and the width of the hysteresis loop. Such ferroelectric-basedcomplex, dynamical systems can lead to efficient physical platforms for alternative and neuromorphic computing paradigms.

Virtual Oscillator Control for voltage source inverters

Abstract: This paper summarizes a suite of methods that have recently been proposed for the control and synchronization of parallel single- and three-phase voltage source power electronics inverters. Inspired by the phenomenon of synchronization in networks of coupled oscillators, the premise of the proposed Virtual Oscillator Control (VOC) is to control an inverter such that it mimics the dynamics of a nonlinear oscillator. Consequently, the inverters synchronize their voltage outputs and share the load power in proportion to their power ratings without any communication. The VOC design philosophy and sufficient conditions for global asymptotic synchronization are outlined. Simulations validate the analytical results for a parallel system of three-phase inverters serving a constant-power load.

Stochastic relaxation oscillator model for the solar cycle.

Abstract: We perform a detailed analysis of the sunspot number time series to reconstruct the phase space of the underlying dynamical system. The features of this phase space allow us to describe the behavior of the solar cycle in terms of a simple relaxation oscillator in two dimensions. The absence of systematic self-crossings suggests that the complexity of the sunspot time series does not arise as a consequence of chaos. Instead, we show that it can be adequately modeled through the introduction of a stochastic fluctuation in one of the parameters of the dynamic equations.

A current conveyor-based relaxation oscillator as a versatile electronic interface for capacitive and resistive sensors

Abstract: A new electronic interface circuit is presented. The circuit is built around a single plus-type second-generation current conveyor (CCII+) and can be used with resistive, capacitive and resistive-capacitive sensors. Experimental results are provided.

A canard mechanism for localization in systems of globally coupled oscillators

Abstract: Localization in a discrete system of oscillators refers to the partition of the population into a subset that oscillates at high amplitudes and anotherthat oscillates at much loweramplitudes. Motivated by experimental results on the Belousov-Zhabotinsky reaction, which oscillates in the relaxation regime, we study a mechanism of localization in a discrete system of relaxation oscillators globally coupled via inhibition. The mechanism is based on the canard phenomenon for a single relaxation oscillator: a rapid explosion in the amplitude of the limit cycle as a parameter governing the relative position of the nullclines is varied. Starting from a parameter regime in which each uncoupled oscillatorhas a lar ge amplitude and no otherper iodic orotherstable solutions, we show that the canard phenomenon can be induced by increasing a global negative feedback parameter γ, with the network then partitioned into low and high amplitude oscillators. For the case in which the oscillators are synchronous within each of the two such populations, we can assign a canard-inducing critical value of γ separately to each of the two clusters; localization occurs when the value for the system is between the critical values of the two clusters. We show that the larger the cluster size, the smaller is the corresponding critical value of γ, implying that it is the smallerclusterthat oscillates at large amplitude. The theory shows that the above results come from a kind of self-inhibition of each cluster induced by the local feedback. In the full system, there are also effects of interactions between the clusters, and we present simulations showing that these nonlocal interactions do not destroy the localization created by the self-inhibition.