On a double cycle and resonances (Q691213)

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scientific article; zbMATH DE number 6111422
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On a double cycle and resonances
scientific article; zbMATH DE number 6111422

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    On a double cycle and resonances (English)
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    30 November 2012
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    The purpose of this paper is to focus on systems with 3/2 degrees of freedom close to nonlinear autonomous Hamiltonian ones for the case that the perturbed autonomous system has a double limit cycle. The authors show that the original non-autonomous system has a special resonance zone. Moreover, the structure of this zone is also considered. Finally, the authors give an example to illustrate their results.
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    cycle
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    resonances
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    average
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