Rigorous mathematical analysis and numerical simulations were used to study the codimension-2 fold-Hopf bifurcation in the chaotic Rossler system.

In this paper,we investigate a low-order model representing Hadley circulation in atmospheric dynamics,study its properties and obtain the sufficient conditions which can display the Hopf and Fold bifurcation.

S: The reduction approach of center manifold method for the parameter-dependent nonlinear dynamical system is applied to simplify the analysis of Fold bifurcation associated with voltage collapse in a sample power system.

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.