Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.04248 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918138955694080 |
|---|---|
| author | Lopes, Daniel Ferreira |
| author_facet | Lopes, Daniel Ferreira |
| contents | Hamiltonian systems are a classical example in the ergodic theory of flows with an invariant measure. In this matter, we present a brief introduction to measure theory and prove the Poincare recurrence theorem to present the conditions for a system to be conservative. In the following, we discuss the Hamiltonian differential equations, vector fields, and their respective flows as an example of this invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04248 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hamiltonian Systems as an Example of Invariant Measure Lopes, Daniel Ferreira Dynamical Systems Hamiltonian systems are a classical example in the ergodic theory of flows with an invariant measure. In this matter, we present a brief introduction to measure theory and prove the Poincare recurrence theorem to present the conditions for a system to be conservative. In the following, we discuss the Hamiltonian differential equations, vector fields, and their respective flows as an example of this invariance. |
| title | Hamiltonian Systems as an Example of Invariant Measure |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2509.04248 |