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

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Publication:6144004
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DOI10.4171/ESIAM/3/2MaRDI QIDQ6144004

Gianni Arioli

Publication date: 5 January 2024

Published in: Interactions between Elasticity and Fluid Mechanics (Search for Journal in Brave)



zbMATH Keywords

stabilityChebyshev polynomialsPoincaré mapcomputer assisted proof


Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10) Stability of dynamical problems in solid mechanics (74H55) Dynamical systems in solid mechanics (37N15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Computational methods for bifurcation problems in dynamical systems (37M20) Equations linearized about a deformed state (small deformations superposed on large) (74B15)








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