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.

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

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 bifurcation set of every fixed-point of the system was particularly calculated, and the Lyapunov numbers and Hausdorf dimension of the system were calculated.