Eventos Anais de eventos
DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Spatiotemporal Nonlinear Dynamics in a 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.DINAME2023.DIN2023-0139
Abstract
This paper investigates the spatiotemporal nonlinear dynamics of a Duffing-type system. Conservative and non-conservative systems are treated showing complex spatiotemporal behaviors. Numerical simulations are carried out using finite difference method together with the fourth order Runge-Kutta method. A perturbation analysis is employed to understand nonlinear dynamics details, which allows the definition of different Lyapunov exponents. Different kinds of behaviors are discussed showing periodic, quasi-periodic and chaotic behaviors.
Keywords
Mechanical Vibration, Spatiotemporal Chaos, Pattern Formation, Duffing
