Loading...
Please wait, while we are loading the content...
Similar Documents
First derivative of topological entropy for Anosov geodesic flows in the presence of magnetic fields
| Content Provider | Scilit |
|---|---|
| Author | Paternain, Gabriel P. Paternain, Miguel |
| Copyright Year | 1997 |
| Description | Journal: Nonlinearity In this paper we study the topological entropy of the motion of a particle of charge on a closed manifold M under the effect of a magnetic field. The function is an even function and we have shown in [6] that the considered system is not Anosov if is sufficiently large. Let be a maximal interval such that the motion of the particle of charge is Anosov. We show that strictly decreases on . It follows that is an absolute maximum of h on the interval . We also obtain upper estimates for the first derivative of h involving the magnetic field and the curvature of M. |
| Related Links | http://iopscience.iop.org/article/10.1088/0951-7715/10/1/008/pdf |
| Ending Page | 131 |
| Page Count | 11 |
| Starting Page | 121 |
| ISSN | 09517715 |
| e-ISSN | 13616544 |
| DOI | 10.1088/0951-7715/10/1/008 |
| Journal | Nonlinearity |
| Issue Number | 1 |
| Volume Number | 10 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1997-01-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Nonlinearity Topological Entropy Magnetic Field |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics |
