A nonlinear version of the equivalent bifurcation lemma

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, , Citation G Cicogna 1990 J. Phys. A: Math. Gen. 23 L1339 DOI 10.1088/0305-4470/23/24/009

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1 Dipartimento di Fisica, Pisa Univ., Italy

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0305-4470/23/24/L1339

Abstract

The author provides an extension of the equivariant bifurcation lemma to the case of nonlinear Lie point symmetries. In this extension, the role of the fixed subspaces under the symmetry subgroups is played by some well specified flow-invariant manifolds. Some typical examples are also considered.

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