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NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS (Ⅱ)──PART 2

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS (Ⅱ)─PART 2
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摘要 In the part 2, theorem 3.1 stut ed in part 1[15] is proved first. The proof is obtained via a way of changing variables to reduce the original system of differentialequations to a form concerning Standard systems of equations in the theory ofdifferentiable dynamical systems. Then by using theorem 3.1 together with thepreliminary theorem 2.l, foe main theorem of this paper announced in part 1 is proved.The definition of admissible perturbation is contained in the appendix of part 2. Themeanings of the main theorem is described in the introduction of part 1. In the part 2, theorem 3.1 stut ed in part 1[15] is proved first. The proof is obtained via a way of changing variables to reduce the original system of differentialequations to a form concerning Standard systems of equations in the theory ofdifferentiable dynamical systems. Then by using theorem 3.1 together with thepreliminary theorem 2.l, foe main theorem of this paper announced in part 1 is proved.The definition of admissible perturbation is contained in the appendix of part 2. Themeanings of the main theorem is described in the introduction of part 1.
作者 廖山涛
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第5期421-440,共20页 应用数学和力学(英文版)
关键词 vector bundle dynamics nonuniform hyperbolicity ergodicity admissible perturbation pointwise boundedness vector bundle dynamics,nonuniform hyperbolicity, ergodicity,admissible perturbation,pointwise boundedness
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参考文献3

  • 1Liao Shantao. Notes on a study of vector bundle dynamical systems (II)—Part 1[J] 1996,Applied Mathematics and Mechanics(9):805~818
  • 2Liao Shantao. Notes on a study of vector bundle dynamical systems (I)[J] 1995,Applied Mathematics and Mechanics(9):813~823
  • 3Charles C. Pugh. The C1+α hypothesis in Pesin theory[J] 1984,Publications Mathématiques de L’Institut des Hautes Scientifiques(1):143~161

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