We define a type of hyperbolicity on the full measure invariant set which is given by the oseledec ' s multiplicative ergodic theorem and prove that the system has the lipschitz shadowing property on it 对于由oseledec乘法遍历定理得到的满测度( fullmeasure )不变集定义了双曲性,并证明了系统在这个不变集上具有lipschitz跟踪性。