No-shadowing for singular hyperbolic sets with a singularity

Xiao Wen;  ; Lan Wen;

doi:10.3934/dcds.2020258

No-shadowing for singular hyperbolic sets with a singularity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020258 ◽

2020 ◽

Vol 40 (10) ◽

pp. 6043-6059

Author(s):

Xiao Wen ◽

◽

Lan Wen ◽

Keyword(s):

Hyperbolic Sets

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Hyperbolic sets, transversal homoclinic trajectories, and symbolic dynamics for C1-maps in banach spaces

Journal of Dynamics and Differential Equations ◽

10.1007/bf01048949 ◽

1990 ◽

Vol 2 (3) ◽

pp. 325-365 ◽

Cited By ~ 23

Author(s):

Heinrich Steinlein ◽

Hans-Otto Walther

Keyword(s):

Banach Spaces ◽

Symbolic Dynamics ◽

Hyperbolic Sets

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Hyperbolic Sets

Global Stability of Dynamical Systems ◽

10.1007/978-1-4757-1947-5_4 ◽

1987 ◽

pp. 20-32

Author(s):

Michael Shub

Keyword(s):

Hyperbolic Sets

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Hyperbolic Sets of Ordinary Differential Equations

Shadowing in Dynamical Systems ◽

10.1007/978-1-4757-3210-8_7 ◽

2000 ◽

pp. 115-169

Author(s):

Ken Palmer

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Hyperbolic Sets

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The Shadowing Theorem for Hyperbolic Sets of Diffeomorphisms

Shadowing in Dynamical Systems ◽

10.1007/978-1-4757-3210-8_4 ◽

2000 ◽

pp. 77-90

Author(s):

Ken Palmer

Keyword(s):

Hyperbolic Sets

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Hyperbolic Sets of Diffeomorphisms

Shadowing in Dynamical Systems ◽

10.1007/978-1-4757-3210-8_2 ◽

2000 ◽

pp. 21-55

Author(s):

Ken Palmer

Keyword(s):

Hyperbolic Sets

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Hyperbolic Sets

Introduction to Structurally Stable Systems of Differential Equations ◽

10.1007/978-3-0348-8643-7_12 ◽

1988 ◽

pp. 119-156

Author(s):

Sergei Yu. Pilyugin

Keyword(s):

Hyperbolic Sets

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Constraints on dynamics preserving certain hyperbolic sets

Ergodic Theory and Dynamical Systems ◽

10.1017/s014338571000009x ◽

2010 ◽

Vol 31 (03) ◽

pp. 719-739

Author(s):

AARON W. BROWN

Keyword(s):

Hyperbolic Sets

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Hyperbolic sets and shift automorhpisms

Dynamical Systems, Theory and Applications - Lecture Notes in Physics ◽

10.1007/3-540-07171-7_16 ◽

2008 ◽

pp. 539-549 ◽

Cited By ~ 5

Author(s):

Charles C. Conley

Keyword(s):

Hyperbolic Sets

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Homoclinic classes for sectional-hyperbolic sets

Kyoto Journal of Mathematics ◽

10.1215/21562261-3600157 ◽

2016 ◽

Vol 56 (3) ◽

pp. 531-538 ◽

Cited By ~ 1

Author(s):

Alexander Arbieto ◽

Andrés Mauricio Lopez Barragán ◽

Carlos Arnoldo Morales Rojas

Keyword(s):

Hyperbolic Sets ◽

Homoclinic Classes

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Invariant subsets of hyperbolic sets

Lecture Notes in Mathematics - Proceedings of the Symposium on Differential Equations and Dynamical Systems ◽

10.1007/bfb0070167 ◽

1971 ◽

pp. 90-91

Author(s):

M. Hirsch

Keyword(s):

Hyperbolic Sets

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