Complex dynamics in three-well duffing system with two external forcings
文献类型：期刊论文
| 作者 | Jing, Zhujun; Huang, Jicai; Deng, Jin |
| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2007-08-01 |
| 卷号 | 33期号:3页码:795-812 |
| ISSN号 | 0960-0779 |
| DOI | 10.1016/j.chaos.2006.03.071 |
| 英文摘要 | Three-well duffing system with two external forcing terms is investigated. The criterion of existence of chaos under the periodic perturbation is given by using Melnikov's method. By using second-order averaging method and Melnikov's method we proved the criterion of existence of chaos in averaged systems under quasi-periodic perturbation for omega(2) = n omega(1) + epsilon v, n = 1, 3, 5, and cannot prove the criterion of existence of chaos in second-order averaged system under quasi-periodic perturbation for omega(2) = n omega(1) + epsilon v, n = 2, 4, 6, 7, 8, 9, 10, 11, 12, where v is not rational to omega(1), but can show the occurrence of chaos in original system by numerical simulation. Numerical simulations including heteroclinic and homoclinic bifurcation surfaces, bifurcation diagrams, maximum Lyapunov exponents and Poincare map are given to illustrate the theoretical analysis, and to expose the more new complex dynamical behaviors. We show that cascades of period-doubling bifurcations from period-one to four orbits, cascades of interlocking period-doubling bifurcations from period-two orbits of two sets, from quasi-periodicity leading to chaos, onset of chaos which occurs more than one, interleaving occurrences of chaotic behavior and invariant torus, transient chaos with complex period windows and interior crisis, chaos converting to torus, different kind of chaotic attractors. Our results shows that the dynamical behaviors are different from the dynamics of duffing equation with two-well and two external forcings. (c) 2006 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000246259400009 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4658]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Jing, Zhujun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Hunan Normal Univ, Dept Math, Hunan Changsha 410081, Peoples R China 3.Cent China Normal Univ, Sch Math & Stat, Hubei Wuhan 430079, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jing, Zhujun,Huang, Jicai,Deng, Jin. Complex dynamics in three-well duffing system with two external forcings[J]. CHAOS SOLITONS & FRACTALS,2007,33(3):795-812. |
| APA | Jing, Zhujun,Huang, Jicai,&Deng, Jin.(2007).Complex dynamics in three-well duffing system with two external forcings.CHAOS SOLITONS & FRACTALS,33(3),795-812. |
| MLA | Jing, Zhujun,et al."Complex dynamics in three-well duffing system with two external forcings".CHAOS SOLITONS & FRACTALS 33.3(2007):795-812. |
入库方式： OAI收割
来源：数学与系统科学研究院
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