| Abstract: | In this paper, we report the dynamical behaviours of afour-dimensional autonomous continuous dissipative system analysedwhen the parameter is varied in the range we are interested in. Thesystem changes its dynamical modes between periodic motion andquasiperiodic motion. Furthermore, the existence of two-torus isinvestigated numerically by means of Lyapunov exponents. By takingadvantage of phase portraits and Poincar'{e} sections, two types ofthe two-torus are observed and proved to have the structure of ringtorus and horn torus, both of which are known to be the standardtori. |
