The Property of Nonwandering Operator

Tian Lixin; Lu Dianchen

Volume 17 Issue 2

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(2): 151-156

Tian Lixin, Lu Dianchen. The Property of Nonwandering Operator[J]. Applied Mathematics and Mechanics, 1996, 17(2): 151-156.

Citation:

Tian Lixin, Lu Dianchen. The Property of Nonwandering Operator[J]. Applied Mathematics and Mechanics, 1996, 17(2): 151-156.

Citation:

Tian Lixin, Lu Dianchen. The Property of Nonwandering Operator[J]. Applied Mathematics and Mechanics, 1996, 17(2): 151-156.

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The Property of Nonwandering Operator

Department of Mathematics and Phonics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China

Received Date: 1995-01-20
Publish Date: 1996-02-15

Abstract

Abstract

In this paper. we stady the nonwandering operator, which is a linear operator with chaos character and is in intnite dimensionol linear space. We give the hypercyclic bacomposition on the compact set of nonwandering operators.
- shift operator,
- hypercyclic operator,
- nonwandering operator

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References(10)

References

[1]	Ogden R W. Inequalities associated with the inversion of elastic stress-deformation relations and their implications[J]. Mathematical Proceedings of the Cambridge Philosophical Society,1977,81(2): 313-324.
[2]	D,A,Herrero,Limits of hypercyclic and supercyclic operators,J.Funct,Anal.,99(1991),179-190.
[3]	P,S,Bourdon,Invariant manifolds of hypercyclic vectors,Proc,Amer,Math,Soc.,118(1993),845-847.
[4]	D.A,Herrero and Z,Y.Wang,Compact perturbation of hypercyclic and supercyclic operators,India,Univ,Math,J.,39(1990),819-829.
[5]	D,A,Herrero,Triangular operators,Bull.London Math,Soc.,23(1991),513-554.
[6]	F,Riesz and B,S,Nagy,Function Analysis,Akademiai Kiado(1965).
[7]	C,Foias,G,Sell and R,Teman,Inertial manifold for dissipative PDE's,J.Diff,Equ.,73(1988),309-353.
[8]	田立新、徐振源、刘曾荣,耗散孤立波方程的吸引子,应用数学和力学,15(6)(1994),539-547
[9]	田立新,Schrodinger算子的极大耗散扩张,应用数学和力学,15(10)(1994),919-926.
[10]	R.L,Devaney,An Introduction to Chaotic Dpnamic System,2nd ed.,Addison-Wesley,Reading,MA(1989).

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