Some Dynamical Properties of Rössler System

Abstract

This paper characterizes some dynamical properties of Rössler system. We consider the stability of equlibria points of Rössler system and also stability of system when 0  b . We investigate existence of transcritical bifurcation and Hopf bifurcation in Rössler system. Compute the largest Lyaponuv exponent at the critical points in the special case.