A continuation theorem with applications to periodically forced Liénard equations in the presence of a separatrix (Q2568652)
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| Language | Label | Description | Also known as |
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| English | A continuation theorem with applications to periodically forced Liénard equations in the presence of a separatrix |
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A continuation theorem with applications to periodically forced Liénard equations in the presence of a separatrix (English)
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19 October 2005
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The aim of this paper is to give a result on the existence of periodic motions for the periodically forced Liénard differential equation \[ x^{\prime\prime}+f(x)x^{\prime}+g(x)=e(t). \] The obtained result is based on a degree theoretic continuation theorem. Some applications and illustrating examples are given.
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Liénard equation
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periodic solutions
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continuation methods
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