Circuits, Oscillations, and the Kuramoto Model as Visualized by Phasors (CDT-7)

Luciano da Fontoura Costa (1)

1 IFSC - IFSC-USP

Several modeling approaches can benefit from data and dynamics transformations that allow simplification, generalization , and/or more conceptual treatment of the studied problem. In this work, we discuss the phasor representation, capable of mapping sinusoidal signals into values in the complex plane, which can be associated to vectors. As such, phasors allow visualizating and understanding amplitude and phase relationships, such as relative phase and phase coherence. The potential of phasors for diverse applications is illustrated with respect to AC linear circuits, filters, oscillators and the Kuramoto model.

Domaines: Réseau de neurones [cs.NE]; Traitement du signal et de l'image [eess.SP]; Vibrations [physics.class-ph]; Electronique; Intelligence artificielle [cs.AI]; Automatique; Synthèse d'image et réalité virtuelle [cs.GR]; Son [cs.SD]; Variables complexes [math.CV]; Enseignement de la physique [physics.ed-ph]; Acoustique [physics.class-ph]

Luciano da Fontoura Costa. Circuits, Oscillations, and the Kuramoto Model as Visualized by Phasors (CDT-7). 2019. ⟨hal-02135542⟩