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位移自同构
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  shift automorphism
     The chaotic behavior is discussed for a two dimensional mapping Φ with the logarithmic form. It is shown that in some ranges of the parameters Φ possesses a shift automorphism σ of a set of double infinite sequences as its subsystem,which implies the existencs of chaotic behavior in Φ. 
     讨论了一类二维对数型映射Φ的浑沌性.用解析方法给出了映射Φ以双边无穷序列集上的位移自同构σ为子系统的参数范围,此时Φ产生浑沌.
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  相似匹配句对
     AN ANALYSIS OF DISPLACEMENT
     位移分析
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     A study of displacement
     位移的研究
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     The Automorphisms of Finite Modular Lattice
     有限模的自同构
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     Automorphisms of the Algebra of Differential Operators
     微分算子代数的自同构
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  shift automorphism
It is proven that the topological entropy of this mapping, and the shift automorphism generated by it of the corresponding Williams solenoid, equals the logarithm of the maximal eigenvalue of the matrix thus introduced.
      
On the other hand, whenA is large enough, the nonwandering set ofH is topologically conjugate to the shift automorphism on two symbols.
      
For a transverse homoclinic orbit γ of a mapping (not necessarily invertible) on a Banach space, it is shown that the mapping restricted to orbits near γ is equivalent to the shift automorphism on doubly infinite sequences on finitely many symbols.
      
We consider special flowsT' built over shift automorphism? with a Holder function.
      
We compute the dynamical entropy in the sense of Connes, Narnhofer, and Thirring of shift automorphism of generalized quantum Markov chains as defined by Accardi and Frigerio.
      
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The chaotic behavior is discussed for a two dimensional mapping Φ with the logarithmic form.It is shown that in some ranges of the parameters Φ possesses a shift automorphism σ of a set of double infinite sequences as its subsystem,which implies the existencs of chaotic behavior in Φ.

讨论了一类二维对数型映射Φ的浑沌性.用解析方法给出了映射Φ以双边无穷序列集上的位移自同构σ为子系统的参数范围,此时Φ产生浑沌.

 
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