Exponential growth of separation on a bounded attractor is compatible with boundedness because the relevant measurement is local transverse stretching with renormalization along the attractor, not unlimited separation in the ambient space.
Conditions: The trajectory lies on an attractor; Separation is measured transversely with renormalization
Exponential growth of separation on a bounded attractor is compatible with boundedness because the relevant measurement is local transverse stretching with renormalization along the attractor, not unlimited separation in the ambient space.
Conditions: The trajectory lies on an attractor; Separation is measured transversely with renormalization