Eventos Anais de eventos
CONEM 2022
XI Congresso Nacional de Engenharia Mecânica - CONEM 2022
Spatiotemporal Chaos and Patterns in a Dissipative Duffing-type System
Submission Author:
Eduardo Villela Machado dos Reis , RJ , Brazil
Co-Authors:
Eduardo Villela Machado dos Reis, Marcelo Savi
Presenter: Eduardo Villela Machado dos Reis
doi://10.26678/ABCM.CONEM2022.CON22-0487
Abstract
Spatiotemporal dynamics arises in systems governed by partial differential equations or coupled lattice maps. A complex dynamics is expected for nonlinear systems, being characterized by chaos and patterns. This paper investigates different responses showing patterns and spatiotemporal chaos on a dissipative Duffing-type system governed by equations with cubic nonlinearity. Duffing systems are largely employed in mechanical energy harvesting systems, defining a relevant topic of engineering research. Numerical simulations are developed employing the finite difference method for spatial discretization and the fourth-order Runge-Kutta method for time discretization. Dissipation effects and external excitation are of concern. Different spatiotemporal patterns are discussed considering distinct combinations of chaos and periodicity.
Keywords
Mechanical Vibration, Spatiotemporal Chaos, Pattern Formation, Duffing System, Edge of Chaos
