Normal forms and the structure of resonance sets in nonlinear time-periodic systems (Q1591456)
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scientific article; zbMATH DE number 1546953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal forms and the structure of resonance sets in nonlinear time-periodic systems |
scientific article; zbMATH DE number 1546953 |
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Normal forms and the structure of resonance sets in nonlinear time-periodic systems (English)
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19 November 2002
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The authors study the structure of time-dependent resonances for one- and two-degree-of-freedom nonlinear systems with time-periodic coefficients. Both quadratic and cubic nonlinearities are considered. Also, the associated normal forms are explicitly obtained. Two illustrative examples are included: a nonlinear Mathieu equation, and a double inverted pendulum subjected to a follower with both constant and periodically-varying components.
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resonance sets
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nonlinear time-periodic systems
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normal forms
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nonlinear Mathieu equation
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double inverted pendulum
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time-periodic coefficients
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