Back to Search
Start Over
Deterministic Chaos in Integrable Models
- Publication Year :
- 2022
-
Abstract
- In this work we present analytical and numerical evidences that classical integrable models possessing infinitely many degrees of freedom exhibit some features that are typical of chaotic systems. By studying how the conserved charges change under a small deformation of the initial conditions, we conclude that the inverse scattering map is responsible for this chaotic behavior, in spite of the system being integrable. We investigate this phenomenon in the explicit examples of the KdV equation and the sine-Gordon model and further provide general arguments supporting this statement.<br />Comment: 19 pages, 4 figures
- Subjects :
- High Energy Physics - Theory
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2211.14150
- Document Type :
- Working Paper