Cubic systems of nonlinear oscillations with seven limit cycles (Q1778173)

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scientific article; zbMATH DE number 2176535
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English
Cubic systems of nonlinear oscillations with seven limit cycles
scientific article; zbMATH DE number 2176535

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    Cubic systems of nonlinear oscillations with seven limit cycles (English)
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    17 June 2005
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    The author considers a cubic autonomous system of Kukles-type and, using the computer algebra system MATHEMATICA for calculation of the first seven focus quantities of the origin, gives a proof for the existence of at least seven small-amplitude limit cycles for such a system.
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    cubic system of nonlinear oscillations
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    focus quantity
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    limit cycle
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