effectsofhardlimitsonbifurcationchaosandstability

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	effectsofhardlimitsonbifurcationchaosandstability
	Wang Ruiqi; Huang Jicai
	2004
发表期刊	actamathematicaeapplicataesinica
ISSN	0168-9673
卷号	020 期号:003 页码:441
摘要	An SMIB model in the power systems, especially that concering the effects of hard limits on bifurcations, chaos and stability is studied. Parameter conditions for bifurcations and chaos in the absence of hard limits are compared with those in the presence of hard limits. It has been proved that hard limits can affect system stability. We find that (1) hard limits can change unstable equilibrium into stable one; (2) hard limits can change stability of limit cycles induced by Hopf bifurcation; (3) persistence of hard limits can stabilize divergent trajectory to a stable equilibrium or limit cycle; (4) Hopf bifurcation occurs before SN bifurcation, so the system collapse can be controlled before Hopf bifurcation occurs. We also find that suitable limiting values of hard limits can enlarge the feasibility region. These results are based on theoretical analysis and numerical simulations, such as condition for SNB and Hopf bifurcation, bifurcation diagram, trajectories, Lyapunov exponent, Floquet multipliers, dimension of attractor and so on.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/37439
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wang Ruiqi,Huang Jicai. effectsofhardlimitsonbifurcationchaosandstability[J]. actamathematicaeapplicataesinica,2004,020(003):441.
APA	Wang Ruiqi,&Huang Jicai.(2004).effectsofhardlimitsonbifurcationchaosandstability.actamathematicaeapplicataesinica,020(003),441.
MLA	Wang Ruiqi,et al."effectsofhardlimitsonbifurcationchaosandstability".actamathematicaeapplicataesinica 020.003(2004):441.