A Parameter-Space Analysis of the Rikitake System
Rodrigo A. da Silva, Paulo C. Rech**
Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil
Abstract ：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.
收稿日期: 2013-08-16
出版日期: 2013-12-13
:
05.45.-a
(Nonlinear dynamics and chaos)
05.45.Pq
(Numerical simulations of chaotic systems)
05.45.Ac
(Low-dimensional chaos)
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2013, Vol. 30 
