Abstract
The linear search problem is studied from the view point of Hamiltonian dynamics. For the specific, yet representative case of exponentially distributed position of the hidden object, it is shown that the optimal orbit follows an unstable separatrix in the associated Hamiltonian system.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3023-3047 |
| Number of pages | 25 |
| Journal | Nonlinearity |
| Volume | 25 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2012 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics