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- W1556169547 abstract "We study the polynomial vector fields <i>X</i>=???20110202??? <i>P</i><sub><i>i</i></sub>(<i>x</i><sub>1</sub>,..., <i>x</i><sub><i>n</i>+1</sub>) <i>∂</i>/<i>∂x</i><sub><i>i</i></sub> in C<sup><i>n</i>+1</sup> with <i>n</i> ≥ 1. Let <i>m</i><sub><i>i</i></sub> be the degree of the polynomial <i>P</i><sub><i>i</i></sub>. We call (<i>m</i><sub>1</sub>,..., <i>m</i><sub><i>n</i>+1</sub>) the degree of <i>X</i>. For these polynomial vector fields <i>X</i> and in function of their degree we provide upper bounds, first for the maximal number of invariant <i>n</i>-dimensional spheres, and second for the maximal number of <i>n</i>-dimensional concentric invariant spheres." @default.
- W1556169547 created "2016-06-24" @default.
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- W1556169547 date "2011-01-01" @default.
- W1556169547 modified "2023-09-25" @default.
- W1556169547 title "ON THE NUMBER OF <i>N</i>-DIMENSIONAL INVARIANT SPHERES IN POLYNOMIAL VECTOR FIELDS OF C<sup><i>N</i>+1</sup>" @default.
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- W1556169547 doi "https://doi.org/10.11948/2011011" @default.
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