2) Hopf-Hopf-Flip bifurcation
Hopf-Hopf-Flip分岔
1.
Local behaviors of the system,near the point of Hopf-Hopf-Flip bifurcation,are studied,where Hopf bifurcation occurs,as well as Flip bifurcation,torus bifurcation and "pentagram" attractor in projected Poincaré sections.
研究了其Jacobian矩阵两对复共轭特征值和一负实特征值同时穿越单位圆情况下的Hopf-Hopf-Flip分岔,该系统在此类余维三分岔点附近存在周期运动的Hopf分岔、Flip分岔、环面分岔以及"五角星形"概周期吸引子,揭示了环面倍化以及分形出"五角星形"概周期吸引子并向混沌演化的两种非常规过程,它对于振动筛系统的动力学优化设计提供了理论参考。
3) HOPF bifurcation
HOPF分岔
1.
Moore-spence extended equations based reduction new method for computing Hopf bifurcation points of power system;
基于Moore-Spence扩展方程电力系统Hopf分岔点的降阶新算法
2.
Hopf bifurcation analysis of hydraulic turbine governing systems with elastic water hammer effect;
考虑弹性水击效应时水轮机调节系统的Hopf分岔分析
3.
Stability and Hopf bifurcation analysis of axially narrow-band random oscillating flexible beams;
轴向基础窄带随机激励柔性梁的稳定性与Hopf分岔
4) double Hopf bifurcation
双Hopf分岔
1.
The resonant double Hopf bifurcations and the nonresonant ones exist due to the technological delay τ_1.
发现由于技术时滞τ1的出现,使模型存在着共振和非共振的双Hopf分岔。
2.
The dynamic behavior of a resonant double Hopf bifurcation is examined for a van der Pol-Duffing oscillator with delayed feedback,and the influence on double Hopf bifurcation is investigated with time delay and amplitude variation.
研究时滞反馈van der Pol-Duffing系统的共振双Hopf分岔,讨论时滞量和位移反馈增益变化对双Hopf分岔的影响。
3.
It is found that the excitatory self-connections can lead to non-resonant double Hopf bifurcations since the double Hopf bifurcation disappears without self delayed connecti.
发现如果有兴奋型自连接就会有双Hopf分岔,而没有时滞自连接时双Hopf分岔就会消失,因此自连接引起了双Hopf分岔。
5) Hopf-Flip bifurcation
Hopf-Flip分岔
1.
Hopf-Flip bifurcations of a two-degree-of-freedom mechanical system with periodic coefficients;
一类周期系数力学系统的Hopf-Flip分岔
6) Hopf bifurcation
Hopf分岔集
1.
Hopf bifurcation set of every fixed-point of the system was particularly calculated, and the Lyapunov numbers and Hausdorf dimension of the system were calculated.
分析和研究取样鉴相数字合成器环中的混沌动力学行为,根据Ushio与Hira等人的方法,从理论上证明了当系统参数满足一定条件时,系统会出现分岔现象,并具体计算出系统在各个不动点处的Hopf分岔集、系统的李雅普诺夫指数以及豪斯道夫维数。
补充资料：Hopf纤维化
Hopf纤维化
Hopf fibration
H咐纤维化[H咐石b旧位翔:xo.钾paee二oe。一e] 一个局部平凡的纤维化(6brat沁n)f: 52”一‘~S月，n二2，4，8‘.这是局部平凡纤维化最早的例子之一，由H.HoPf在[l1中引进.这些映射诱导的同调与上同调同态为平凡的;但它们不同伦于零，这可从它们的H咐不变t(Hopfin调喊阳t)非O导出.给出这些映射需用所谓HoPf构造(HoPfco“加川山刀)· 设x*y为空间X与Y的联结(join)，其中可以引进自然坐标(x，t，y>，x‘X，t任[0，l]，y〔Y.例如X*「护=SX，即x的纬垂(s璐伴璐咖).Ho讨构造匀对于每个映射f:xxy~z对应以映射敏f):x*Y~sz由下式给出公(f)
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条