bifurcationofperiodicorbitsandchaosinduffingequation

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	bifurcationofperiodicorbitsandchaosinduffingequation
	Meixiang Cai 1; Jianping Yang 2
	2006
发表期刊	actamathematicaeapplicataesinica
ISSN	0168-9673
卷号	22 期号:3 页码:495
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
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/38952
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.