Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach (Q2465875)
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| English | Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach |
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Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach (English)
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10 January 2008
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The authors consider the second order differential equation \[ u''+ku^{+}=p(t), \] where \(u^{+}=\max(u,0)\) and \(p(t)\) is a \(T\)-periodic function that is piecewise constant on \([0,T]\). This equation models a suspension bridge. The existence of chaotic dynamics is established.
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nonlinear second order ODEs
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Lazer-McKenna suspension bridge model
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periodic solutions
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chaotic dynamics
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time-maps
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linked twist mappings
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