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On necessary and sufficient conditions for chaos to occur in Duffing's equation: an Heuristic approach

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Publication:2879821
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DOI10.1016/S0022-460X(88)80023-3zbMath1235.70117OpenAlexW2006816386MaRDI QIDQ2879821

Charles Pezeshki, Earl. H. Dowell

Publication date: 5 April 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-460x(88)80023-3



Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)


Related Items (4)

Optimal spatiotemporal reduced order modeling. II: Application to a nonlinear beam ⋮ Quasiperiodic resonance and bifurcations of tori in the weakly nonlinear Duffing oscillator ⋮ Prediction of bifurcations and chaos for an asymmetric elastic oscillator ⋮ Chaos in mechanical systems -- a review




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