bifurcationofperiodicorbitsandchaosinduffingequation
文献类型：期刊论文
| 作者 | Meixiang Cai1; Jianping Yang2 |
| 刊名 | actamathematicaeapplicataesinica
 |
| 出版日期 | 2006 |
| 卷号 | 22期号:3页码:495 |
| ISSN号 | 0168-9673 |
| 英文摘要 | Duffing equation with fifth nonlinear-restoring force, one external forcing and a phase shift is investigated, The conditions of existences for primary resonance, second-order, third-order subharmonics, morder subharmonics and chaos are given by using second-averaging method, Melnikov methods and bifurcation theory. Numerical simulations including bifurcation diagrams, bifurcation surfaces, phase portraits, not only show the consistence with the theoretical analysis, but also exhibit the new dynamical behaviors. We show the onset of chaos, chaos suddenly disappearing to period orbit, one-band and double-band chaos, period-doubling bifurcations from period 1, 2, and 3 orbits, period-windows （period-2, 3 and 5） in chaotic regions. |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/38951]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.湖南师范大学 2.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Meixiang Cai,Jianping Yang. bifurcationofperiodicorbitsandchaosinduffingequation[J]. actamathematicaeapplicataesinica,2006,22(3):495. |
| APA | Meixiang Cai,&Jianping Yang.(2006).bifurcationofperiodicorbitsandchaosinduffingequation.actamathematicaeapplicataesinica,22(3),495. |
| MLA | Meixiang Cai,et al."bifurcationofperiodicorbitsandchaosinduffingequation".actamathematicaeapplicataesinica 22.3(2006):495. |
入库方式： OAI收割
来源：数学与系统科学研究院
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