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
- Accept · 2026-10-15 · record