In this paper a new approach is proposed to solve Hopf bifurcation point of dynamic voltage stability by reduced order,and the feature of the proposed approach is to reduce the order of a (3n+2)-dimensional Newton iterative equations to a (n+2)-dimensional linear equations.

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.

Moore-spence extended equations based reduction new method for computing Hopf bifurcation points of power system;

Hopf bifurcation analysis of hydraulic turbine governing systems with elastic water hammer effect;

Stability and Hopf bifurcation analysis of axially narrow-band random oscillating flexible beams;

The resonant double Hopf bifurcations and the nonresonant ones exist due to the technological delay τ_1.

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.

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.

Hopf-Flip bifurcations of a two-degree-of-freedom mechanical system with periodic coefficients;