Hopf Bifurcation Analysis of Nonlinear R?ssler Systems

摘要

The Hopf bifurcation problem of nonlinear R?ssler system with time delay is studied. The Hopf bifurcation conditions of the R?ssler system with nonlinear delay are given, the Hopf bifurcation points of the system delay parameters are obtained, and the stability of the system near the delay bifurcation points is analyzed. The simulation results show that the supercritical Hopf bifurcation occurs in the time-delay bifurcation point of the nonlinear R?ssler system, and the changes of the time-delay parameters near the time-delay bifurcation point will affect the stability of the system.