The numerical simulation results in MATLAB/Simulink program showed that the transcritical bifurcation or Hopf bifurcation occurred in submarine operating motion with high-speed and large rudder angle in dive plane.

Analysis of subcritical and supercritical Hopf bifurcation for balanced jeffcott rotor bearing system;

Limit cycle characteristics analysis of oil film instability whirl with Hopf bifurcation method;

Linear feedback control of Hopf bifurcation in Langford system;

Study on the simplest normal forms of nonresonant double Hopf bifurcation;

In this paper, an analog of the neural network of the fourth order aiming to store the oscillatory memory patterns is designed using the normal form equations for double Hopf bifurcation with two remaining dimensions.