A note on a curious phenomenon in a classical oscillator (Q2783556)
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scientific article; zbMATH DE number 1730557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a curious phenomenon in a classical oscillator |
scientific article; zbMATH DE number 1730557 |
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10 December 2002
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classical oscillator
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oscillatory solution
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friction
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geophysical fluid mechanics
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A note on a curious phenomenon in a classical oscillator (English)
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Here, the authors study two coupled damped oscillator equations that arise in geophysical fluid mechanics. They prove that as the friction increases damped oscillatory solutions (of the form \(\exp(at)\sin(bt)\) or \(\exp(at)\cos(bt))\) first exist then disappear then reappear again. The reviewer proposes that the first zone (where the friction is small and a damped oscillatory solution exists) can be defined exactly. This will make part (a) of the theorem more sharp.
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