Analysis of nonlinear dynamics using electronic circuits.
Guênia Mara Vieira Ladeira1; Gabriela Vieira Lima2; Cleudmar Amaral Araújo1
1 Mechanical Engineering, University Federal of Uberlândia; 2 Electrical Engineering, University Federal of Uberlândia
doi:10.20906/CPS/COB-2015-0354
Resumo
The essence of chaotic dynamics can be substantially reproduced through analogical electronic systems. Therefore, this article presents the design project of an electronic system based on the mathematical equation of dynamic systems, as well as its responses and analyses of the results. Electronic systems generate the analysis of dynamic behaviour, providing the ease at which it varies the input parameters. In this article, the behaviour of a Duffing Oscillator with characteristics of linear until chaotic is scrutinized. The responses given by the electronic system are compared to the numeric solution produced by the mathematical model of the oscillator. The results from the theoretical and experimental systems were analysed through linear and nonlinear techniques, where it was noted that the experimental system produces adequate results and can be used in the experimental part of teaching nonlinear dynamics as well as for research tests.
Palavras-chave: dynamic chaotic; analog electronic; experimental analysis