Remarks on nonlinear dynamics of a suspension bridge model a note on fractional order
Carregando...
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Artigo
Direito de acesso
Resumo
This paper aims to explore the richer dynamics of the Lazer-McKenna suspension bridge model, which is a asymmetric system of equations that has previously shown chaotic dynamics, here the study will be made by means of fractional order differential equations where the order of the entire system is varied. For the solutions it was used integration schemes previously shown in the literature, which were implemented in the Python programming language, the dynamics were then analyzed in the time domain by means of phase-space, Poincare sections, and bifurcation diagrams, and in the frequency domain by Discrete Fourier Transform (DFT), ContinuousWavelet Transform (CWT) and Hilbert-Huang Transform (HHT). The investigated responses demonstrated a great influence of the fractional order in the system, changing its time dynamics from chaotic to periodic.
Descrição
Palavras-chave
Asymmetric system, Fractional order, Nonlinear dynamics, Time-frequency analysis
Idioma
Inglês
Citação
Mathematics in Engineering, Science and Aerospace, v. 15, n. 3, p. 763-773, 2024.
Itens relacionados
Financiadores
Coleções
Outras formas de acesso
