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Entropy for frame bundle systems and Grassmann bundle systems induced by a diffeomorphism

Entropy for frame bundle systems and Grassmann bundle systems induced by a diffeomorphism
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摘要 ALiao hyperbolic diffeomorphism has equal measure entropy and topological entropy to that ofits induced systems on frame bundles and Grassmann bundles. This solves a problem Liao posed in 1996 forLiao hyperbolic diffeomorphisms. A Liao hyperbolic diffeomorphism has equal measure entropy and topological entropy to that of its induced systems on frame bundles and Grassmann bundles. This solves a problem Liao posed in 1996 for Liao hyperbolic diffeomorphisms.
作者 孙文祥
出处 《Science China Mathematics》 SCIE 2002年第9期1147-1153,共7页 中国科学:数学(英文版)
基金 This work was supported in part by the National Natural Science Foundation of China (Grant No. 10171004) Education Ministry of China.
关键词 orthonormal FRAME bundle GRASSMANN bundle entropy. orthonormal frame bundle Grassmann bundle entropy
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参考文献3

  • 1A. Katok.Lyapunov exponents, entropy and periodic orbits for diffeomorphisms[J].Publications Mathématiques de L’Institut des Hautes Scientifiques.1980(1)
  • 2Sun,W. X.Characteristic spectrum for differential systems, J[].Differential and Integral Equations.1998
  • 3Sun,W. X.Qualitative functions and characteristic spectra for diffeomorphisms, Fareast J[].Applied Mathematics and Mechanics.1998

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