Erratum to “Orbit equivalence of global attractors for S¹-equivariant parabolic equations”

Key Points

• The aim is to clarify the correct relationships between global attractors in specific equations.
• Review of previous assertions regarding global attractors related to $S^1$-equivariant parabolic equations.
• Examination of the Morse-Smale property in the context of reversible nonlinearities.
• Identified the need to change the assertion of orbit equivalence due to violations of the Morse-Smale property.
• Proposed the concept of connection equivalence as a more suitable criterion for classifying global attractors.