Bifurcations of limit cycles of differential equations admitting an involutive symmetry

E. V. Nikolaev

Sbornik. Mathematics, Tome 186 (1995) no. 4, pp. 611-627

Résumé

We study local bifurcations of $I$-invariant limit cycles (of codimensions one and two) in families of vector fields in $\mathbb R^n$ that admit an involutive symmetry $I$, where $I^2=\operatorname{id}$, the identity operator.

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