Do short-time chaos indicators predict long-term orbit stability? · revision history

Revision 2

Accepted · core change · record

Changes against revision 1:

Title · changed
Revision 1: Do short-time chaos indicators predict long-term orbit stability
Revision 2: Do short-time chaos indicators predict long-term orbit stability?
Plain
Quick tests of chaotic behavior over a few thousand turns could replace expensive long simulations if they reliably flag the orbits that eventually escape.
Precise · changed · core
Revision 1: For realistic hadron collider maps, determine whether indicators computed over 1e3 to 1e4 turns (frequency-map diffusion, finite-time Lyapunov exponents, reversibility error, or machine-learned combinations) classify initial conditions stable for 1e6 to 1e8 turns with misclassification below 1 percent, and identify where in amplitude space they fail.
Revision 2: For realistic hadron collider maps, determine whether indicators computed over $10^{3}$ to $10^{4}$ turns (frequency-map diffusion, finite-time Lyapunov exponents, reversibility error, or machine-learned combinations) classify initial conditions stable for $10^{6}$ to $10^{8}$ turns with misclassification below 1 percent, and identify where in amplitude space they fail.
Settled by
A benchmark on several lattices comparing indicator classifications with long-term tracking outcomes.
Kind
well-posed
Answer type
yes-no
References
(empty)
Literature status
open
Status note
(empty)
Posed since
(empty)

Decisions