Periodic doubling solutions in the Duffing oscillator: A Galerkin approach

DOI10.1016/0021-9991(89)90040-5zbMath0672.65048OpenAlexW1986726351MaRDI QIDQ1120260

Hugo L. Janssen, René van Dooren

Publication date: 1989

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90040-5

zbMATH Keywords

chaosattractorerror estimateDuffing oscillatorDuffing equationGalerkin Fourier approximationsperiodic doubling solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical analysis in abstract spaces (65J99)

Related Items (4)

A continuation algorithm for discovering new chaotic motions in forced Duffing systems ⋮ Frequency dependent iteration method for forced nonlinear oscillators ⋮ An efficient optimized adaptive step-size hybrid block method for integrating \(w^{\prime \prime} = F (t, w, w^\prime)\) directly ⋮ A postverification method for solving forced Duffing oscillator problems without prescribed periods

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