On the attracting set for Duffing's equation
作者： Philip Holmes , David Whitley
DOI: 10.1016/0167-2789(83)90121-5
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摘要: Abstract After a brief review of some earlier work on Duffing's equation in the small force and damping regions, we use results numerical integrations to construct geometrically defined Poincare map which captures qualitative features attracting set larger levels. This has (small) constant Jacobian determinant can be regarded as perturbation non-invertible one-dimensional map. We give partial analysis pose important open questions regarding perturbations maps creation “strange attractors” during bifurcation horseshoes.
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