Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Spatiotemporal Chaos on 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.COBEM2021.COB2021-0492
Abstract
Spatiotemporal dynamics arises in systems that are governed by partial differential equations. Complex dy- namics is expected for nonlinear systems and spatiotemporal chaos is an emblematic example of this complexity. The Navier-Stokes, Ginzburg-Landau and Kuramoto-Sivashinsky are some examples of complex nonlinear spatiotemporal systems. Several physical phenomena define the system behavior including diffusion, convection and energy generation. This paper deals with the investigation of spatiotemporal chaos on a conservative Duffing-type system. Finite Difference and the fourth-order Runge-Kutta methods are employed for numerical discretization. A conservative system is of concern which means that mechanical energy is preserved through time. Results show a correlation between the space perturbation magnitude growth and the system Hamiltonian .
Keywords
mechanical vibrations, Spatiotemporal Chaos, Duffing System, chaos
