Numerical computation of orbits and rigorous verification of existence of snapback repellers |
| |
Authors: | Peng Chen-Chang |
| |
Institution: | Department of Applied Mathematics, National Chiayi University, Chiayi, Taiwan, 600, Republic of China. ccpeng@mail.ncyu.edu.tw |
| |
Abstract: | In this paper we show how analysis from numerical computation of orbits can be applied to prove the existence of snapback repellers in discrete dynamical systems. That is, we present a computer-assisted method to prove the existence of a snapback repeller of a specific map. The existence of a snapback repeller of a dynamical system implies that it has chaotic behavior F. R. Marotto, J. Math. Anal. Appl. 63, 199 (1978)]. The method is applied to the logistic map and the discrete predator-prey system. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|