Chaos in the beam equation (Q1763790)
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scientific article; zbMATH DE number 2136643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chaos in the beam equation |
scientific article; zbMATH DE number 2136643 |
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Chaos in the beam equation (English)
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22 February 2005
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The authors prove existence of infinitely many periodic as well as aperiodic bounded solutions to a slowly periodically perturbed damped beam equation. Assuming that the reduced four dimensional ordinary differential equation has a homoclinic orbit the authors prove that its chaotic dynamics (Smale's horseshoe) can be embedded into the dynamics of the original damped beam equation.
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weak nonlinearities
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periodically perturbed damped beam equation
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homoclinic orbit
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Smale's horseshoe
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