Perturbation theory for \(n\)th-order nonlinear systems with large damping (Q1860758)
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scientific article; zbMATH DE number 1874484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation theory for \(n\)th-order nonlinear systems with large damping |
scientific article; zbMATH DE number 1874484 |
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Perturbation theory for \(n\)th-order nonlinear systems with large damping (English)
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13 March 2003
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Conclusion: A general formula is presented for obtaining the transient response of damped nonlinear systems governed by an \(n\)th-order ordinary differential system with small nonlinearities, in which a large damping force acts. The general solution may be used for second-order, third-order or more than third-order nonlinear systems. Thus, there is no longer any need to treat these cases separately.
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perturbation
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\(n\)th-order nonlinear systems
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large damping
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0.9744247
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0.9343875
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0.92702407
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0.9095364
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0.90667987
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0.89596367
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0.8933844
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