Force Evolutionary Billiards and Billiard Equivalence of the Euler and Lagrange Cases
2021
A class of force evolutionary billiards is discovered that realizes important integrable Hamiltonian systems on all regular isoenergy 3-surfaces simultaneously, i.e., on the phase 4-space. It is proved that the well-known Euler and Lagrange integrable systems are billiard equivalent, although the degrees of their integrals are different (two and one).
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
13
References
1
Citations
NaN
KQI