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<p>In Theorem 3 of Rocha (São Paulo J Math Sci 6:365–374, 2012) the author asserts the orbit equivalence of global attractors for nonlinearities in the same lap signature class. Since, in general, the Morse-Smale property does not hold for systems corresponding to reversible nonlinearities, this assertion needs to be replaced by the less restrictive connection equivalence of global attractors.</p>

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Erratum to “Orbit equivalence of global attractors for \(S^1\)-equivariant parabolic equations”

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月19日

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  • Carlos Rocha

摘要

In Theorem 3 of Rocha (São Paulo J Math Sci 6:365–374, 2012) the author asserts the orbit equivalence of global attractors for nonlinearities in the same lap signature class. Since, in general, the Morse-Smale property does not hold for systems corresponding to reversible nonlinearities, this assertion needs to be replaced by the less restrictive connection equivalence of global attractors.