【摘要】 证明了符号动力系统具有Lipschitz跟踪性和极限跟踪性.作为其应用,借助拓扑共轭证明了Smale马蹄,二次映射在其双曲不变集上具有(相对C1小扰动一致的)极限跟踪性;借助Lipschitz共轭证明了线性的马蹄在其双曲不变集上具有Lipschitz跟踪性.更多还原

【Abstract】 To show that the symbolic systems have both the Lipschitz shadowing property and the limit shadowing property.As applications,prove that both the Smale’s horseshoes and the quadratic maps have the limit shadowing property on their hyperbolic invariant sets,and this property is also "uniform"with respect to C ~1-perturbation,also prove that the "linear"　horseshoes have the Lipschitz shadowing property on their hyperbolic sets.更多还原