We investigate analytically and numerically the dynamics of the Rikitake system.The Routh–Hurwitz criterion is used to study the stability of the equilibrium points of the differential equation system model,as functi...We investigate analytically and numerically the dynamics of the Rikitake system.The Routh–Hurwitz criterion is used to study the stability of the equilibrium points of the differential equation system model,as functions of two parameters.The dynamics of the model are numerically studied using diagrams that associate colors to the largest Lyapunov exponent value,in two-dimensional parameter spaces.Additionally,phase-space plots and bifurcation diagrams are used to distinguish periodic and chaotic attractors.展开更多
文摘We investigate analytically and numerically the dynamics of the Rikitake system.The Routh–Hurwitz criterion is used to study the stability of the equilibrium points of the differential equation system model,as functions of two parameters.The dynamics of the model are numerically studied using diagrams that associate colors to the largest Lyapunov exponent value,in two-dimensional parameter spaces.Additionally,phase-space plots and bifurcation diagrams are used to distinguish periodic and chaotic attractors.
