Arnold family in acoustically forced air bubble formation

Autor:	Alberto Tufaile, Eduardo Colli, José Carlos Sartorelli, Viviane S. M. Piassi
Rok vydání:	2009
Předmět:	Similarity (geometry) Meteorology General Mathematics Applied Mathematics Bubble CAOS (SISTEMAS DINÂMICOS) General Physics and Astronomy Statistical and Nonlinear Physics Mechanics Function (mathematics) Parameter space Air flow rate Liquid bubble Forced-air Constant (mathematics) Mathematics
Zdroj:	Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP
Popis:	We applied an integrate-and-fire model with sinusoidal baseline and constant threshold to describe air bubble formation periodically forced by a sound wave. The model is a deterministic one-dimensional system that predicts the instant of a bubble detachment as a function of the previous one and it is able to reproduce long time behavior with great similarity. The changes in the dynamics as the air flow rate varies can be predicted by a curve in the parameter space of the so called Arnold family of circle maps.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c48754f5f885b49a356c694f5ea27c3 Zobrazit plný text záznamu