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Chaos behavior in the discrete Fitzhugh nerve system |
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| Authors: | JING Zhujun JIA Zhiyuan CHANG Yu |
| Affiliation: | 1. Department of Mathematics, Hunan Normal University, Changsha 410081, China;Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China; 2. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 3. Department of Mathematics, Hunan Normal University, Changsha 410081, China |
| Abstract: | The discrete Fitzhugh nerve systems obtained by the Euler method is investigated and it is proved that there exist chaotic phenomena in the sense of Marotto’s definition of chaos. And numerical simulations not only show the consistence with the theoretical analysis but also exhibit the complex dynarnical behaviors, including the ten-periodic orbit, a cascade of period-doubling bifurcation, quasiperiodic orbits and the chaotic orbits and intermittent chaos. The computations of Lyapunov exponents confirm the chaos behaviors. Moreover we also find a strange attractor having the self-similar ohit structure as that of Henon attractor. |
| Keywords: | chaos discrete Fitzhugh nerve system |
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