Bauer, Oliver and Mainieri, Ronnie (1997) The convergence of chaotic integrals. CHAOS, 7 (3). pp. 361-367. ISSN 1054-1500
Full text not available from this repository.Abstract
We review the convergence of chaotic integrals computed by Monte Carlo simulation, the trace method, dynamical zeta function, and Fredholm determinant on a simple one-dimensional example: the parabola repeller. There is a dramatic difference in convergence between these approaches. The convergence of the Monte Carlo method follows an inverse power law, whereas the trace method and dynamical zeta function converge exponentially, and the Fredholm determinant converges faster than any exponential. (C) 1997 American Institute of Physics.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STRANGE SETS; CYCLE EXPANSIONS; PERIODIC-ORBITS; ESCAPE; TERMS |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Mar 2023 05:12 |
| Last Modified: | 30 Mar 2023 05:12 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50588 |
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