You still don’t understand the links you are providing. Fuck, just read the English words even if you don’t understand the math.

“We aim to present reversible systems which lie on the border of solvability/integrability and chaos.”

The intro says it’s not chaotic but a function that borders on chaotic.

“We adjusted the precision in such a way that the true initial data and the result of this round trip did not differ by more than 10−3.”

Their function isn’t even reversible but only allows for an approximation of reversibility.

Conclusion:

“We have shown that there exist infinite families of rational maps which, at the same time, have positive algebraic entropy, present features of chaos, and are solvable.”

FEATURES OF CHAOS ISN’T CHAOS.