Dynamics of Collapsing Particles: A Dynamical System Approach
Published:Dec 31, 2025 11:58
•1 min read
•ArXiv
Analysis
This paper investigates the collision dynamics of four inelastic hard spheres in one dimension, a problem relevant to understanding complex physical systems. The authors use a dynamical system approach (the b-to-b mapping) to analyze collision orders and identify periodic and quasi-periodic orbits. This approach provides a novel perspective on a well-studied problem and potentially reveals new insights into the system's behavior, including the discovery of new periodic orbit families and improved bounds on stable orbits.
Key Takeaways
Reference
“The paper discovers three new families of periodic orbits and proves the existence of stable periodic orbits for restitution coefficients larger than previously known.”