First derivative of the period function with applications (Q1881133)
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scientific article; zbMATH DE number 2105808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First derivative of the period function with applications |
scientific article; zbMATH DE number 2105808 |
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First derivative of the period function with applications (English)
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4 October 2004
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This paper investigates the monotonicity of the period function with increasing amplitude of centres of planar differential systems. The method of proof uses an extension of Lie brackets. A large number of examples illustrate the theory: there are particular applications to Hamiltonian systems, the Lotka-Volterra equations and Liénard systems.
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planar systems
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centres
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period function
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Lie symmetries
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0.9036205
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0.8791411
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0.8718517
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0.8701029
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0.8658066
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0.86337686
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0.86200726
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0.86072123
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