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Differential Equations and Control Processes, 2012, Issue 1, Pages 1–84 (Mi depu1)  

Closing lemmas

D. V. Anosovab, E. V. Zhuzhomac

a Moscow State University, Moscow, Russia
b Steklov Mathematical Institute, Moscow, Russia
c Nizhni Novgorod State Pedagogical University, Nizhni Novgorod, Russia

Abstract: Numerous papers deal with the closing lemma and variations thereof. The survey considers various types of closing lemmas. The ideas of proofs of the main results are presented, and schemes for constructing important examples are given. We illustrate the application of closing lemmas to the description of residual sets in spaces of dynamical systems.

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-12056-офи-м
Ministry of Education and Science of the Russian Federation 11.G34.31.0039
The research was supported by the Russian Foundation for Basic Research (grant no. 11-01-12056-ofi-m-2011) and was performed in the framework of the grant of the Government of the Russian Federation for state support of scientific research conducted in leading Russian institutes under supervision of leading scientists (contract no. 11.G34.31.0039).



English version:
Differential equations, 2012, 48:13, 1653–1699

Bibliographic databases:

UDC: 517.938

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