Smale Horseshoe in a Piecewise Smooth Map
发布时间:2019-07-11
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- 发表刊物:
- INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- 刊物所在地:
- WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
- 关键字:
- Impact oscillator; Nordmark map; nonwandering set; Smale horseshoe
- 摘要:
- We investigate the chaotic dynamics of a two-dimensional piecewise smooth map. The map represents the normal form of a discrete time representation of impact oscillators near grazing states. It is proved that, in certain region of the parameter space, the nonwandering set of the map is contained in a bounded region and that, restricted to the nonwandering set, the map is topologically conjugate to the two-sided shift map on two symbols.
- 合写作者:
- Xie Jianhua
- 第一作者:
- Li Denghui
- 论文类型:
- 基础研究
- 通讯作者:
- Chen Hebai*
- 论文编号:
- 10.1142/S0218127419500512
- 文献类型:
- J
- 卷号:
- 29
- 期号:
- 4
- 页面范围:
- 1950051
- ISSN号:
- 0218-1274
- 是否译文:
- 否
- 发表时间:
- 2019-04-01


中南大学
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