We describe and provide a computer assisted proof of the bifurcation graph for a system of coupled nonlinear oscillator described in a model of a bridge. We also prove the linear stability/instability of the branches of solutions.

On the dynamics of coupled oscillators and its application to the stability of suspension bridges

Gianni Arioli
2022-01-01

Abstract

We describe and provide a computer assisted proof of the bifurcation graph for a system of coupled nonlinear oscillator described in a model of a bridge. We also prove the linear stability/instability of the branches of solutions.
2022
Interactions between Elasticity and Fluid Mechanics
978-3-98547-027-3
Computer assisted proof, stability, Chebyshev polynomials, Poincaré map
File in questo prodotto:
File Dimensione Formato  
23EMS bozze.pdf

accesso aperto

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 343.72 kB
Formato Adobe PDF
343.72 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1238323
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact