Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length. (Q637039)
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scientific article; zbMATH DE number 5944852
| Language | Label | Description | Also known as |
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| English | Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length. |
scientific article; zbMATH DE number 5944852 |
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Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length. (English)
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1 September 2011
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Chaotic dynamics are proved for the Poincaré map along the trajectories of the system equivalent to the equation \(x''+cx'+q(t)f(x)=0\), where \(q\) is a periodic function of constant sign. One theorem concerns the frictionless case, where \(c=0\), at the second one the friction is present (\(c\neq 0\)).
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chaotic dynamics
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pendulum
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Poincaré map
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