Introduces integrability notions for C0/C1 natural Hamiltonian systems and gives Liouville-Arnold theorem prototypes, motivated by bungee-jumping models.
arXiv:2312.01312
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In integrable Kepler/Hooke billiards with focus/center-aligned conic boundaries, reflected orbit foci lie on a circle or Cassini oval respectively.
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From bungee to $C^1$ and $C^0$ Hamiltonian systems and their integrability and nonintegrability
Introduces integrability notions for C0/C1 natural Hamiltonian systems and gives Liouville-Arnold theorem prototypes, motivated by bungee-jumping models.
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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.