Onset of Chaos and Global Analytical Solutions for Duffing's Oscillator

DOI10.1002/zamm.19860660302zbMath0615.70023OpenAlexW2115805517MaRDI QIDQ4723343

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Publication date: 1986

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19860660302

zbMATH Keywords

approximationperiodic solutionFourier coefficientsamplitude equationanalytical-numerical methodcoupled nonlinear equationsintegro-differential equation methodonset of chaotic motionsapproximate response curvesDuffing's ocillatornonlinear vibration theorytrigonometric iteration method

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Random vibrations in mechanics of particles and systems (70L05) Special processes (60K99) Probabilistic methods, stochastic differential equations (65C99)

Related Items (3)

Influence of the Integration Steps on the Results of Numerical Simulations for a System with Friction ⋮ Two kinds of evolution of strange attractors for the example of a particular nonlinear oscillator ⋮ Quasiperiodicity, strange non-chaotic and chaotic attractors in a forced two degrees-of-freedom system

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