This article is cited in 14 papers

Bifurcations of limit cycles of differential equations admitting an involutive symmetry

E. V. Nikolaev

Institute of Mathematical Problems of Biology, Russian Academy of Sciences

Abstract: 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.

UDC: 517.9

MSC: 34A34, 34A47, 34C35

Received: 07.04.1993

 English version: Sbornik: Mathematics, 1995, 186:4, 611–627

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