An analytical critical parameter is derived for the integrability-to-chaos transition in elliptical-oval billiards; increasing the elliptical component lowers the chaos threshold, while in-phase deformations can restore invariant curves.
Nonlinearity 36, 4209–4246
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
In integrable Kepler/Hooke billiards with focus/center-aligned conic boundaries, reflected orbit foci lie on a circle or Cassini oval respectively.
citing papers explorer
-
Critical parameters of an oval billiard with an elliptical component
An analytical critical parameter is derived for the integrability-to-chaos transition in elliptical-oval billiards; increasing the elliptical component lowers the chaos threshold, while in-phase deformations can restore invariant curves.
-
Geometric properties of integrable Kepler and Hooke billiards with conic section boundaries
In integrable Kepler/Hooke billiards with focus/center-aligned conic boundaries, reflected orbit foci lie on a circle or Cassini oval respectively.