Dolmaire, Theophile and Huebner-Rosenau, Eleni (2025) One-dimensional inelastic collapse of four particles: asymmetric collision sequences and spherical billiard reduction. NONLINEARITY, 38 (5): 055011. ISSN 0951-7715, 1361-6544
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We consider a one-dimensional system of four inelastic hard spheres, colliding with a fixed restitution coefficient r, and we study the inelastic collapse phenomenon for such a particle system. We study a periodic, asymmetric collision pattern, proving that it can be realized, despite its instability. We prove that we can associate to the four-particle dynamical system another dynamical system of smaller dimension, acting on {1,2,3}xS2, and that encodes the collision orders of each trajectory. We provide different representations of this new dynamical system, and study numerically its omega-limit sets. In particular, the numerical simulations suggest that the orbits of such a system might be quasi-periodic.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GRANULAR GASES; COEFFICIENT; RESTITUTION; inelastic collapse; inelastic hard spheres; hard ball systems; billiard systems; particle systems; omega-limit sets; dynamical systems |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Jun 2026 06:44 |
| Last Modified: | 24 Jun 2026 06:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66928 |
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